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Liu DJ, Wang J, Ackerman DM, Slowing II, Pruski M, Chen HT, Lin VSY, Evans JW. Interplay between Anomalous Transport and Catalytic Reaction Kinetics in Single-File Nanoporous Systems. ACS Catal 2011. [DOI: 10.1021/cs200115c] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Da-Jiang Liu
- Ames Laboratory−USDOE, and ‡Departments of Mathematics, §Chemistry, and ∥Physics & Astronomy, Iowa State University, Ames Iowa 50011, United States
| | - Jing Wang
- Ames Laboratory−USDOE, and ‡Departments of Mathematics, §Chemistry, and ∥Physics & Astronomy, Iowa State University, Ames Iowa 50011, United States
| | - David M. Ackerman
- Ames Laboratory−USDOE, and ‡Departments of Mathematics, §Chemistry, and ∥Physics & Astronomy, Iowa State University, Ames Iowa 50011, United States
| | - Igor I. Slowing
- Ames Laboratory−USDOE, and ‡Departments of Mathematics, §Chemistry, and ∥Physics & Astronomy, Iowa State University, Ames Iowa 50011, United States
| | - Marek Pruski
- Ames Laboratory−USDOE, and ‡Departments of Mathematics, §Chemistry, and ∥Physics & Astronomy, Iowa State University, Ames Iowa 50011, United States
| | - Hung-Ting Chen
- Ames Laboratory−USDOE, and ‡Departments of Mathematics, §Chemistry, and ∥Physics & Astronomy, Iowa State University, Ames Iowa 50011, United States
| | - Victor S.-Y. Lin
- Ames Laboratory−USDOE, and ‡Departments of Mathematics, §Chemistry, and ∥Physics & Astronomy, Iowa State University, Ames Iowa 50011, United States
| | - James W. Evans
- Ames Laboratory−USDOE, and ‡Departments of Mathematics, §Chemistry, and ∥Physics & Astronomy, Iowa State University, Ames Iowa 50011, United States
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Liu DJ, Chen HT, Lin VSY, Evans JW. Polymer length distributions for catalytic polymerization within mesoporous materials: non-Markovian behavior associated with partial extrusion. J Chem Phys 2010; 132:154102. [PMID: 20423163 DOI: 10.1063/1.3361663] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We analyze a model for polymerization at catalytic sites distributed within parallel linear pores of a mesoporous material. Polymerization occurs primarily by reaction of monomers diffusing into the pores with the ends of polymers near the pore openings. Monomers and polymers undergo single-file diffusion within the pores. Model behavior, including the polymer length distribution, is determined by kinetic Monte Carlo simulation of a suitable atomistic-level lattice model. While the polymers remain within the pore, their length distribution during growth can be described qualitatively by a Markovian rate equation treatment. However, once they become partially extruded, the distribution is shown to exhibit non-Markovian scaling behavior. This feature is attributed to the long-tail in the "return-time distribution" for the protruding end of the partially extruded polymer to return to the pore, such return being necessary for further reaction and growth. The detailed form of the scaled length distribution is elucidated by application of continuous-time random walk theory.
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Affiliation(s)
- Da-Jiang Liu
- Ames Laboratory (USDOE), Iowa State University, Ames, Iowa 50011, USA
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