1
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Liu P, Wu D, Hu TX, Yuan DW, Zhao G, Sheng ZM, He XT, Zhang J. Ion Kinetics and Neutron Generation Associated with Electromagnetic Turbulence in Laboratory-Scale Counterstreaming Plasmas. PHYSICAL REVIEW LETTERS 2024; 132:155103. [PMID: 38682966 DOI: 10.1103/physrevlett.132.155103] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/04/2023] [Revised: 12/18/2023] [Accepted: 03/12/2024] [Indexed: 05/01/2024]
Abstract
Electromagnetic turbulence and ion kinetics in counterstreaming plasmas hold great significance in laboratory astrophysics, such as turbulence field amplification and particle energization. Here, we quantitatively demonstrate for the first time how electromagnetic turbulence affects ion kinetics under achievable laboratory conditions (millimeter-scale interpenetrating plasmas with initial velocity of 2000 km/s, density of 4×10^{19} cm^{-3}, and temperature of 100 eV) utilizing a recently developed high-order implicit particle-in-cell code without scaling transformation. It is found that the electromagnetic turbulence is driven by ion two-stream and filamentation instabilities. For the magnetized scenarios where an applied magnetic field of tens of Tesla is perpendicular to plasma flows, the growth rates of instabilities increase with the strengthening of applied magnetic field, which therefore leads to a significant enhancement of turbulence fields. Under the competition between the stochastic acceleration due to electromagnetic turbulence and collisional thermalization, ion distribution function shows a distinct super-Gaussian shape, and the ion kinetics are manifested in neutron yields and spectra. Our results have well explained the recent unmagnetized experimental observations, and the findings of magnetized scenario can be verified by current astrophysical experiments.
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Affiliation(s)
- P Liu
- Institute for Fusion Theory and Simulation, School of Physics, Zhejiang University, Hangzhou 310058, China
| | - D Wu
- Key Laboratory for Laser Plasmas and School of Physics and Astronomy, Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, China
| | - T X Hu
- Institute for Fusion Theory and Simulation, School of Physics, Zhejiang University, Hangzhou 310058, China
- Key Laboratory for Laser Plasmas and School of Physics and Astronomy, Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, China
| | - D W Yuan
- Key Laboratory of Optical Astronomy, National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012, China
| | - G Zhao
- Key Laboratory of Optical Astronomy, National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012, China
| | - Z M Sheng
- Institute for Fusion Theory and Simulation, School of Physics, Zhejiang University, Hangzhou 310058, China
| | - X T He
- Institute for Fusion Theory and Simulation, School of Physics, Zhejiang University, Hangzhou 310058, China
| | - J Zhang
- Key Laboratory for Laser Plasmas and School of Physics and Astronomy, Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, China
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2
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Liang T, Wu D, Ning X, Shan L, Yuan Z, Cai H, Sheng Z, He X. Large-scale kinetic simulations of colliding plasmas within a hohlraum of indirect-drive inertial confinement fusion. Phys Rev E 2024; 109:035207. [PMID: 38632725 DOI: 10.1103/physreve.109.035207] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/26/2023] [Accepted: 02/13/2024] [Indexed: 04/19/2024]
Abstract
The National Ignition Facility has recently achieved successful burning plasma and ignition using the inertial confinement fusion (ICF) approach. However, there are still many fundamental physics phenomena that are not well understood, including the kinetic processes in the hohlraum. Shan et al. [Phys. Rev. Lett. 120, 195001 (2018)0031-900710.1103/PhysRevLett.120.195001] utilized the energy spectra of neutrons to investigate the kinetic colliding plasma in a hohlraum of indirect drive ICF. However, due to the typical large spatial-temporal scales, this experiment could not be well simulated by using available codes at that time. Utilizing our advanced high-order implicit PIC code, LAPINS, we were able to successfully reproduce the experiment on a large scale of both spatial and temporal dimensions, in which the original computational scale was increased by approximately seven to eight orders of magnitude. Not only is the validity of the explanation of the experiment confirmed by our simulations, i.e., the abnormally large width of neutron spectra comes from beam-target nuclear fusions, but also a different physical insight into the source of energetic deuterium ions is provided. The acceleration of deuterium ions can be categorized into two components: one is propelled by a sheath electric field created by the charge separation at the onset, while the other is a result of the reflection of the potential of the shock wave. The robustness of the acceleration mechanism is analyzed with varying initial conditions, e.g., temperatures, drifting velocity, and ion components. This paper might serve as a reference for benchmark simulations of upcoming simulation codes and may be relevant for future research on mixtures and entropy increments at plasma interfaces.
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Affiliation(s)
- Tianyi Liang
- Institute for Fusion Theory and Simulation, School of Physics, Zhejiang University, Hangzhou 310058, China
| | - Dong Wu
- Key Laboratory for Laser Plasmas and School of Physics and Astronomy, and Collaborative Innovation Center of IFSA, Shanghai Jiao Tong University, Shanghai 200240, China
| | - Xiaochuan Ning
- Institute for Fusion Theory and Simulation, School of Physics, Zhejiang University, Hangzhou 310058, China
| | - Lianqiang Shan
- National Key Laboratory of Plasma Physics, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - Zongqiang Yuan
- National Key Laboratory of Plasma Physics, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - Hongbo Cai
- Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
| | - Zhengmao Sheng
- Institute for Fusion Theory and Simulation, School of Physics, Zhejiang University, Hangzhou 310058, China
| | - Xiantu He
- Institute for Fusion Theory and Simulation, School of Physics, Zhejiang University, Hangzhou 310058, China
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3
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Mirzaeian R, Hosseinimotlagh SN, Shaghaghian M. Dynamics effects of tritium reduction on the energy gain of D-T fuel pellet using double cone ignition. KERNTECHNIK 2023. [DOI: 10.1515/kern-2022-0074] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023]
Abstract
Abstract
In this paper a study of the behavior of Deuterium-Tritium (D-T) plasma nuclear fusion reaction in terms of variations of time and temperature and in the presence of deuterium-tritium sources using double cone ignition is presented. The aim is the determination of the optimum physical conditions with low tritium consumption rate for obtaining the total energy gain with a value of greater than 200.
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Affiliation(s)
- Roohalah Mirzaeian
- Department of Physics, Shiraz Branch , Islamic Azad University , Shiraz , Iran
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4
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Zhang J, Wang WM, Yang XH, Wu D, Ma YY, Jiao JL, Zhang Z, Wu FY, Yuan XH, Li YT, Zhu JQ. Double-cone ignition scheme for inertial confinement fusion. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2020; 378:20200015. [PMID: 33040660 PMCID: PMC7658757 DOI: 10.1098/rsta.2020.0015] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Accepted: 06/25/2020] [Indexed: 06/11/2023]
Abstract
While major progress has been made in the research of inertial confinement fusion, significant challenges remain in the pursuit of ignition. To tackle the challenges, we propose a double-cone ignition (DCI) scheme, in which two head-on gold cones are used to confine deuterium-tritium (DT) shells imploded by high-power laser pulses. The scheme is composed of four progressive controllable processes: quasi-isentropic compression, acceleration, head-on collision and fast heating of the compressed fuel. The quasi-isentropic compression is performed inside two head-on cones. At the later stage of the compression, the DT shells in the cones are accelerated to forward velocities of hundreds of km s-1. The head-on collision of the compressed and accelerated fuels from the cone tips transfer the forward kinetic energy to the thermal energy of the colliding fuel with an increased density. The preheated high-density fuel can keep its status for a period of approximately 200 ps. Within this period, MeV electrons generated by ps heating laser pulses, guided by a ns laser-produced strong magnetic field further heat the fuel efficiently. Our simulations show that the implosion inside the head-on cones can greatly mitigate the energy requirement for compression; the collision can preheat the compressed fuel of approximately 300 g cm-3 to a temperature above keV. The fuel can then reach an ignition temperature of greater than 5 keV with magnetically assisted heating of MeV electrons generated by the heating laser pulses. Experimental campaigns to demonstrate the scheme have already begun. This article is part of a discussion meeting issue 'Prospects for high gain inertial fusion energy (part 1)'.
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Affiliation(s)
- J. Zhang
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
- Key Laboratory for Laser Plasmas and School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
- Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
| | - W. M. Wang
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
- Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
- Department of Physics, Renmin University of China, Beijing 100872, People's Republic of China
| | - X. H. Yang
- Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
- Department of Physics, National University of Defense Technology, Changsha 410073, People's Republic of China
| | - D. Wu
- Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
- Institute for Fusion Theory and Simulation, Department of Physics, Zhejiang University, Hangzhou 310058, People's Republic of China
| | - Y. Y. Ma
- Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
- Department of Physics, National University of Defense Technology, Changsha 410073, People's Republic of China
| | - J. L. Jiao
- Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
- School of Physics, Peking University, Beijing 100871, People's Republic of China
| | - Z. Zhang
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
- Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
| | - F. Y. Wu
- Key Laboratory for Laser Plasmas and School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
- Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
| | - X. H. Yuan
- Key Laboratory for Laser Plasmas and School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
- Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
| | - Y. T. Li
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
- Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
| | - J. Q. Zhu
- Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
- National Laboratory of High Power lasers and Physics, Shanghai Institute of Optics and Fine Mechanics, Shanghai 201800, People's Republic of China
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5
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Wu D, Yu W, Fritzsche S, He XT. Particle-in-cell simulation method for macroscopic degenerate plasmas. Phys Rev E 2020; 102:033312. [PMID: 33075929 DOI: 10.1103/physreve.102.033312] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/04/2019] [Accepted: 09/01/2020] [Indexed: 11/07/2022]
Abstract
Nowadays hydrodynamic equations coupled with external equation of states provided by quantum mechanical calculations is a widely used approach for simulations of macroscopic degenerate plasmas. Although such an approach is proven to be efficient and shows many good features, especially for large scale simulations, it encounters intrinsic challenges when involving kinetic effects. As a complement, here we have invented a fully kinetic numerical approach for macroscopic degenerate plasmas. This approach is based on first principle Boltzmann-Uhling-Uhlenbeck equations coupled with Maxwell's equation, and is eventually achieved via an existing particle-in-cell simulation code named LAPINS. In this approach, degenerate particles obey Fermi-Dirac statistics and nondegenerate particles follow the typical Maxwell-Boltzmann statistics. The equation of motion of both degenerate and nondegenerate particles are governed by long range collective electromagnetic fields and close particle-particle collisions. Especially, Boltzmann-Uhling-Uhlenbeck collisions ensure that evolution of degenerate particles is enforced by the Pauli exclusion principle. The code is applied to several benchmark simulations, including electronic conductivity for aluminium with varying temperatures from 2 eV to 50 eV, thermalization of alpha particles in a cold fuel shell in inertial confinement fusion, and rapid heating of solid sample by short and intense laser pulses.
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Affiliation(s)
- D Wu
- Institute for Fusion Theory and Simulation, Department of Physics, Zhejiang University, 310058 Hangzhou, China.,Collaborative Innovation Center of IFSA, Shanghai Jiao Tong University, Shanghai 200240, China
| | - W Yu
- Shanghai Institute of Optics and Fine Mechanics, 201800 Shanghai, China
| | - S Fritzsche
- Helmholtz Institut Jena, Theoretisch-Physikalisches Institut, Friedrich-Schiller-University, D-07743 Jena, Germany
| | - X T He
- Institute for Fusion Theory and Simulation, Department of Physics, Zhejiang University, 310058 Hangzhou, China.,Collaborative Innovation Center of IFSA, Shanghai Jiao Tong University, Shanghai 200240, China.,Key Laboratory of HEDP of the Ministry of Education, CAPT, and State Key Laboratory of Nuclear Physics and Technology, Peking University, 100871 Beijing, China
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6
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Ren J, Deng Z, Qi W, Chen B, Ma B, Wang X, Yin S, Feng J, Liu W, Xu Z, Hoffmann DHH, Wang S, Fan Q, Cui B, He S, Cao Z, Zhao Z, Cao L, Gu Y, Zhu S, Cheng R, Zhou X, Xiao G, Zhao H, Zhang Y, Zhang Z, Li Y, Wu D, Zhou W, Zhao Y. Observation of a high degree of stopping for laser-accelerated intense proton beams in dense ionized matter. Nat Commun 2020; 11:5157. [PMID: 33057005 PMCID: PMC7560615 DOI: 10.1038/s41467-020-18986-5] [Citation(s) in RCA: 17] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/17/2020] [Accepted: 09/24/2020] [Indexed: 11/09/2022] Open
Abstract
Intense particle beams generated from the interaction of ultrahigh intensity lasers with sample foils provide options in radiography, high-yield neutron sources, high-energy-density-matter generation, and ion fast ignition. An accurate understanding of beam transportation behavior in dense matter is crucial for all these applications. Here we report the experimental evidence on one order of magnitude enhancement of intense laser-accelerated proton beam stopping in dense ionized matter, in comparison with the current-widely used models describing individual ion stopping in matter. Supported by particle-in-cell (PIC) simulations, we attribute the enhancement to the strong decelerating electric field approaching 1 GV/m that can be created by the beam-driven return current. This collective effect plays the dominant role in the stopping of laser-accelerated intense proton beams in dense ionized matter. This finding is essential for the optimum design of ion driven fast ignition and inertial confinement fusion. A detailed understanding of particle stopping in matter is essential for nuclear fusion and high energy density science. Here, the authors report one order of magnitude enhancement of intense laser-accelerated proton beam stopping in dense ionized matter in comparison with currently used models describing ion stopping in matter.
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Affiliation(s)
- Jieru Ren
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi'an Jiaotong University, Xi'an, 710049, China
| | - Zhigang Deng
- Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang, 621900, China
| | - Wei Qi
- Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang, 621900, China
| | - Benzheng Chen
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi'an Jiaotong University, Xi'an, 710049, China.,Institute for Fusion Theory and Simulation, Department of Physics, Zhejiang University, Hangzhou, 310058, China
| | - Bubo Ma
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi'an Jiaotong University, Xi'an, 710049, China
| | - Xing Wang
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi'an Jiaotong University, Xi'an, 710049, China
| | - Shuai Yin
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi'an Jiaotong University, Xi'an, 710049, China
| | - Jianhua Feng
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi'an Jiaotong University, Xi'an, 710049, China
| | - Wei Liu
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi'an Jiaotong University, Xi'an, 710049, China.,Xi'an Technological University, Xi'an, 710021, China
| | - Zhongfeng Xu
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi'an Jiaotong University, Xi'an, 710049, China
| | - Dieter H H Hoffmann
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi'an Jiaotong University, Xi'an, 710049, China
| | - Shaoyi Wang
- Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang, 621900, China
| | - Quanping Fan
- Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang, 621900, China
| | - Bo Cui
- Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang, 621900, China
| | - Shukai He
- Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang, 621900, China
| | - Zhurong Cao
- Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang, 621900, China
| | - Zongqing Zhao
- Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang, 621900, China
| | - Leifeng Cao
- Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang, 621900, China
| | - Yuqiu Gu
- Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang, 621900, China
| | - Shaoping Zhu
- Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang, 621900, China.,Institute of Applied Physics and Computational Mathematics, Beijing, 100094, China.,Graduate School, China Academy of Engineering Physics, Beijing, 100088, China
| | - Rui Cheng
- Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 710049, China
| | - Xianming Zhou
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi'an Jiaotong University, Xi'an, 710049, China.,Xianyang Normal University, Xianyang, 712000, China
| | - Guoqing Xiao
- Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 710049, China
| | - Hongwei Zhao
- Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 710049, China
| | - Yihang Zhang
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China.,School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China
| | - Zhe Zhang
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China.,School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China
| | - Yutong Li
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China.,School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China
| | - Dong Wu
- Institute for Fusion Theory and Simulation, Department of Physics, Zhejiang University, Hangzhou, 310058, China.
| | - Weimin Zhou
- Science and Technology on Plasma Physics Laboratory, Laser Fusion Research Center, China Academy of Engineering Physics, Mianyang, 621900, China.
| | - Yongtao Zhao
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi'an Jiaotong University, Xi'an, 710049, China.
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7
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Wu D, Yu W, Sheng ZM, Fritzsche S, He XT. Uniform warm dense matter formed by direct laser heating in the presence of external magnetic fields. Phys Rev E 2020; 101:051202. [PMID: 32575343 DOI: 10.1103/physreve.101.051202] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/18/2019] [Accepted: 05/06/2020] [Indexed: 11/07/2022]
Abstract
With the recent realization of kilotesla quasistatic magnetic fields, the interaction of a laser with magnetized solids enters an unexplored new regime. In particular, a circularly polarized (CP) laser pulse may propagate in a highly magnetized plasma of any high density without encountering cutoff reflection in the whistler mode. With this, we propose a scheme for producing uniform warm dense matter (WDM) by direct laser heating with a CP laser irradiating onto the target along the magnetic field. It is shown by particle-in-cell simulations, which include advanced ionization dynamics and collision dynamics, moderately intense right-hand CP laser light at 10^{15}W/cm^{2} can propagate in solid aluminum and heat it efficiently to the 100 eV level within picoseconds. By using two laser pulses irradiating from two sides of a thin solid target, uniform heating to WDM can be achieved. This provides a controllable way to create WDM at different temperatures.
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Affiliation(s)
- D Wu
- Department of Physics, Institute for Fusion Theory and Simulation, Zhejiang University, 310058 Hangzhou, China
| | - W Yu
- Shanghai Institute of Optics and Fine Mechanics, 201800 Shanghai, China
| | - Z M Sheng
- Department of Physics, University of Strathclyde, USPA, Glasgow G4 0NG, United Kingdom.,IFSA Collaborative Innovation Center, Shanghai Jiao Tong University, 200240 Shanghai, China
| | - S Fritzsche
- Helmholtz Institut Jena, D-07743 Jena, Germany.,Theoretisch-Physikalisches Institut, Friedrich-Schiller-University Jena, D-07743 Jena, Germany
| | - X T He
- Key Laboratory of HEDP of the Ministry of Education, CAPT, State Key Laboratory of Nuclear Physics and Technology, Peking University, 100871 Beijing, China
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8
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Chen BZ, Wu D, Ren JR, Hoffmann DHH, Zhao YT. Transport of intense particle beams in large-scale plasmas. Phys Rev E 2020; 101:051203. [PMID: 32575315 DOI: 10.1103/physreve.101.051203] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/09/2019] [Accepted: 04/30/2020] [Indexed: 06/11/2023]
Abstract
Transport of particle beams in plasmas is widely employed in fundamental research, industry, and medicine. Due to the high inertia of ion beams, their transport in plasmas is usually assumed to be stable. Here we report the focusing and flapping of intense slab proton beams transporting through large-scale plasmas by using a recently developed kinetic particle-in-cell simulation code. The beam self-focusing effect in the simulation is prominent and agrees well with previous experiments and theories. Moreover, the beam can curve and flap like turbulence as the beam density increases. Simulation and analysis indicate that the self-generated magnetic fields, produced by movement of collisional plasmas, are the dominant driver of such behaviors. By analyzing the spatial growth rate of magnetic energy and energy deposition of injected proton beams, it is found that the focusing and flapping are significantly determined by the injected beam densities and energies. In addition, a remarkable nonlinear beam energy loss is observed. Our research might find application in inertial confinement fusion and also might be of interest to the laboratory astrophysics community.
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Affiliation(s)
- B Z Chen
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Science, Xi'an Jiaotong University, Xi'an 710049, China
- Institute for Fusion Theory and Simulation, Department of Physics, Zhejiang University, Hangzhou 310058, China
| | - D Wu
- Institute for Fusion Theory and Simulation, Department of Physics, Zhejiang University, Hangzhou 310058, China
| | - J R Ren
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Science, Xi'an Jiaotong University, Xi'an 710049, China
| | - D H H Hoffmann
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Science, Xi'an Jiaotong University, Xi'an 710049, China
| | - Y T Zhao
- MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Science, Xi'an Jiaotong University, Xi'an 710049, China
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9
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Wu D, Yu W, Zhao YT, Hoffmann DHH, Fritzsche S, He XT. Particle-in-cell simulation of transport and energy deposition of intense proton beams in solid-state materials. Phys Rev E 2019; 100:013208. [PMID: 31499819 DOI: 10.1103/physreve.100.013208] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/13/2019] [Indexed: 06/10/2023]
Abstract
A particle-in-cell (PIC) simulation code is used to investigate the transport and energy deposition of an intense proton beam in solid-state material. This code is able to simulate close particle interactions by using a Monte Carlo binary collision model. Such a model takes into account all related interactions between the incident protons and material particles, e.g., proton-nucleus, proton-bound-electron, and proton-free-electron collisions. This code also includes a Monte Carlo model for the collisional ionization and electron-ion recombination as well as the depression of the ionization potential by shielding of surrounding particles. Moreover, for intense proton beams, in order to include collective electromagnetic effects, significantly speed up the simulation, and simultaneously avoid numerical instabilities, an approach that combines the PIC method with a reduced model of high-density plasma based on Ohm's law is used. Simulation results indicate that the collective electromagnetic effects have a significant influence on the transport and energy deposition of proton beams. The Ohmic electric field would increase the stopping power and leads to a shortened range of proton beams in solid. The magnetic field would localize the energy deposition by collimating proton beams, which would otherwise be deflected by the collisions with nuclei.
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Affiliation(s)
- D Wu
- Institute for Fusion Theory and Simulation, Department of Physics, Zhejiang University, 310058 Hangzhou, China
| | - W Yu
- Shanghai Institute of Optics and Fine Mechanics, 201800 Shanghai, China
| | - Y T Zhao
- School of Science, Xi'an Jiaotong University, 710049 Xi'an, China
| | - D H H Hoffmann
- School of Science, Xi'an Jiaotong University, 710049 Xi'an, China
| | - S Fritzsche
- Helmholtz Institut Jena, 07743 Jena, Germany
- Theoretisch-Physikalisches Institut, Friedrich-Schiller-University Jena, 07743 Jena, Germany
| | - X T He
- Key Laboratory of HEDP of the Ministry of Education, CAPT, and State Key Laboratory of Nuclear Physics and Technology, Peking University, 100871 Beijing, China
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