Characteristics and scaling of tungsten-wire-array z -pinch implosion dynamics at 20 MA

We present observations for 20-MA wire-array z pinches of an extended wire ablation period of 57%+/-3% of the stagnation time of the array and non-thin-shell implosion trajectories. These experiments were performed with 20-mm-diam wire arrays used for the double- z -pinch inertial confinement fusion experiments [M. E. Cuneo, Phys. Rev. Lett. 88, 215004 (2002)] on the Z accelerator [R. B. Spielman, Phys. Plasmas 5, 2105 (1998)]. This array has the smallest wire-wire gaps typically used at 20 MA (209 microm ). The extended ablation period for this array indicates that two-dimensional (r-z) thin-shell implosion models that implicitly assume wire ablation and wire-to-wire merger into a shell on a rapid time scale compared to wire acceleration are fundamentally incorrect or incomplete for high-wire-number, massive (>2 mg/cm) , single, tungsten wire arrays. In contrast to earlier work where the wire array accelerated from its initial position at approximately 80% of the stagnation time, our results show that very late acceleration is not a universal aspect of wire array implosions. We also varied the ablation period between 46%+/-2% and 71%+/-3% of the stagnation time, for the first time, by scaling the array diameter between 40 mm (at a wire-wire gap of 524 mum ) and 12 mm (at a wire-wire gap of 209 microm ), at a constant stagnation time of 100+/-6 ns . The deviation of the wire-array trajectory from that of a thin shell scales inversely with the ablation rate per unit mass: f(m) proportional[dm(ablate)/dt]/m(array). The convergence ratio of the effective position of the current at peak x-ray power is approximately 3.6+/-0.6:1 , much less than the > or = 10:1 typically inferred from x-ray pinhole camera measurements of the brightest emitting regions on axis, at peak x-ray power. The trailing mass at the array edge early in the implosion appears to produce wings on the pinch mass profile at stagnation that reduces the rate of compression of the pinch. The observation of precursor pinch formation, trailing mass, and trailing current indicates that all the mass and current do not assemble simultaneously on axis. Precursor and trailing implosions appear to impact the efficiency of the conversion of current (driver energy) to x rays. An instability with the character of an m = 0 sausage grows rapidly on axis at stagnation, during the rise time of pinch power. Just after peak power, a mild m = 1 kink instability of the pinch occurs which is correlated with the higher compression ratio of the pinch after peak power and the decrease of the power pulse. Understanding these three-dimensional, discrete-wire implosion characteristics is critical in order to efficiently scale wire arrays to higher currents and powers for fusion applications.

X-ray emission from z pinches at 10 7 A: current scaling, gap closure, and shot-to-shot fluctuations

We have measured the x-ray power and energy radiated by a tungsten-wire-array z pinch as a function of the peak pinch current and the width of the anode-cathode gap at the base of the pinch. The measurements were performed at 13- and 19-MA currents and 1-, 2-, 3-, and 4-mm gaps. The wire material, number of wires, wire-array diameter, wire-array length, wire-array-electrode design, normalized-pinch-current time history, implosion time, and diagnostic package were held constant for the experiments. To keep the implosion time constant, the mass of the array was increased as I2 (i.e., the diameter of each wire was increased as I), where I is the peak pinch current. At 19 MA, the mass of the 300-wire 20-mm-diam 10-mm-length array was 5.9 mg. For the configuration studied, we find that to eliminate the effects of gap closure on the radiated energy, the width of the gap must be increased approximately as I. For shots unaffected by gap closure, we find that the peak radiated x-ray power P(r) proportional to I1.24+/-0.18, the total radiated x-ray energy E(r) proportional to I1.73+/-0.18, the x-ray-power rise time tau(r) proportional to I0.39+/-0.34, and the x-ray-power pulse width tau(w) proportional to demonstrate that the internal energy and radiative opacity of the pinch are not responsible for the observed subquadratic power scaling. Heuristic wire-ablation arguments suggest that quadratic power scaling will be achieved if the implosion time tau(i) is scaled as I(-1/3). The measured 1sigma shot-to-shot fluctuations in P(r), E(r), tau(r), tau(w), and tau(i) are approximately 12%, 9%, 26%, 9%, and 2%, respectively, assuming that the fluctuations are independent of I. These variations are for one-half of the pinch. If the half observed radiates in a manner that is statistically independent of the other half, the variations are a factor of 2(1/2) less for the entire pinch. We calculate the effect that shot-to-shot fluctuations of a single pinch would have on the shot-success probability of the double-pinch inertial-confinement-fusion driver proposed by Hammer et al. [Phys. Plasmas 6, 2129 (1999)]. We find that on a given shot, the probability that two independent pinches would radiate the same peak power to within a factor of 1+/-alpha (where 0< or =alpha<<1) is equal to erf(alpha/2sigma), where sigma is the 1sigma fractional variation of the peak power radiated by a single pinch. Assuming alpha must be < or =7% to achieve adequate odd-Legendre-mode radiation symmetry for thermonuclear-fusion experiments, sigma must be <3% for the shot-success probability to be > or =90%. The observed (12/2(1/2))%=8.5% fluctuation in P(r) would provide adequate symmetry on 44% of the shots. We propose that three-dimensional radiative-magnetohydrodynamic simulations be performed to quantify the sensitivity of the x-ray emission to various initial conditions, and to determine whether an imploding z pinch is a spatiotemporal chaotic system.

Demonstration of radiation symmetry control for inertial confinement fusion in double Z-pinch hohlraums

Simulations of a double Z-pinch hohlraum, relevant to the high-yield inertial-confinement-fusion concept, predict that through geometry design the time-integrated P2 Legendre mode drive asymmetry can be systematically controlled from positive to negative coefficient values. Studying capsule elongation, recent experiments on Z confirm such control by varying the secondary hohlraum length. Since the experimental trend and optimum length are correctly modeled, confidence is gained in the simulation tools; the same tools predict capsule drive uniformity sufficient for high-yield fusion ignition.

Symmetric inertial-confinement-fusion-capsule implosions in a double-z-pinch-driven hohlraum

An inertial-confinement-fusion (ICF) concept using two 60-MA Z pinches to drive a cylindrical hohlraum to 220 eV has been recently proposed. The first capsule implosions relevant to this concept have been performed at the same physical scale with a lower 20-MA current, yielding a 70+/-5 eV capsule drive. The capsule shell shape implies a polar radiation symmetry, the first high-accuracy measurement of this type in a pulsed-power-driven ICF configuration, within a factor of 1.6-4 of that required for scaling to ignition. The convergence ratio of 14-21 is to date the highest in any pulsed-power ICF system.

Double Z-pinch hohlraum drive with excellent temperature balance for symmetric inertial confinement fusion capsule implosions

A double Z pinch driving a cylindrical secondary hohlraum from each end has been developed which can indirectly drive intertial confinement fusion capsule implosions with time-averaged radiation fields uniform to 2%-4%. 2D time-dependent view factor and 2D radiation hydrodynamic simulations using the measured primary hohlraum temperatures show that capsule convergence ratios of at least 10 with average distortions from sphericity of <Delta r>/r<or=30% are possible on the Z accelerator and may meet radiation symmetry requirements for scaling to fusion yields of >200 MJ.

Responsiveness of intracardiac neurons to cholinergic stimulation in normal and thyroidectomized dogs

Hypothyroidism alters the responsiveness of sympathetically innervated structures. The present work was done to determine if the responsiveness of the intrinsic cardiac nerves (ICN) to nicotine is also affected by thyroidectomy (THX). Mongrel dogs were anesthetized and an electrode catheter was advanced into the right atrium for recording His bundle activity (HB). A second cannula was placed into the carotid artery with its tip near the coronary ostia, so that the responses to the drugs injected would be confined to the heart. Changes in the A-H interval of the HB were recorded in response to both acetylcholine (ACH) 2-50 ug, and nicotine HCl (NIC) 5-100 ug, before and after beta blockade with metoprolol (1-4 mg). There were no important differences between the two groups in the responses of A-V nodal conduction to ACH over the dose range used. However, the THX animals showed an apparent increase in responsiveness to NIC; ie., ca. 5% decrease in A-H at 10 ug (control) compared to ca. 30% increase after THX. The apparent catecholamine-releasing effect of NIC was also enhanced in the THX animals. In addition, the responses to ACH and NIC were compared in animals both 'on' and 'off' cardiac bypass. The data suggest that hypothyroidism increases the effectiveness of nicotinic stimulation of intracardiac neurons.

Evidence against the hypothesis that thyroidectomy results in cardiac adrenoceptor interconversion

It has been suggested that hypothyroidism causes an interconversion of cardiac atrial beta to alpha adrenoceptors. However, hypothyroidism can also decrease basal developed tensions and contraction frequencies of isolated atria, and these effects complicate the interpretation of the results. Therefore, we compared the effects of hypothyroidism on atrial responses to adrenergic amines with those of other interventions that equivalently reduced basal tensions and contraction frequencies. The results showed that hypothyroidism and acute carbachol pretreatment each enhanced the maximum responses of rat atria to methoxamine and reduced the potency (pD2) of dl-isoproterenol. In contrast, neither low calcium (left atria) nor low temperature (right atria) altered the responses to either agonist other than to reduce the initial tensions or rates of contraction. The results suggest that the effects of hypothyroidism are the result of neither altered baselines nor adrenoceptor interconversion. Instead, both hypothyroidism and acute carbachol pretreatment may functionally antagonize the effects of beta- and enhance the effects of alpha-adrenoceptor agonists.

Cardiac responsiveness to alpha and beta adrenergic amines: effects of carbachol and hypothyroidism

Previous reports of cardiac beta to alpha adrenoceptor interconversion secondary to hypothyroidism left open the alternative possibility of a functional influence by hypothyroidism on the inotropic and chronotropic effects of adrenergic amines through a different mechanism. To test this possibility, the effects of hypothyroidism (thyroidectomy) were compared with those of acute carbachol pretreatment on the responses of isolated rat atria to the selective beta and alpha adrenoceptor agonists isoproterenol and methoxamine. Both hypothyroidism and acute carbachol pretreatment (3 X 10(-7) -10(-6) M): 1) reduced basal right atrial rates and left atrial tensions; 2) caused an apparent decrease in the inotropic and chronotropic potencies of isoproterenol; 3) reduced the degree of antagonism by propranolol of the responses to isoproterenol; 4) increased the maximum inotropic response of left atria to methoxamine; and 5) converted a lack of response to a positive chronotropic response of right atria to methoxamine. Equivalent reductions of basal rates by hypothermia, or of basal tensions by lowered calcium ion concentrations, did not affect the responses to isoproterenol or methoxamine. The results suggest that both carbachol pretreatment and hypothyroidism functionally antagonize the responses to isoproterenol and enhance the responses to methoxamine by means other than adrenoceptor interconversion.

Cardiac catecholamine stores after cardiac sympathectomy, 6-OHDA, and cardiac denervation

Sympathetic nerves are known to reach the heart via classical vagal pathways. Bilateral cervicothoracic sympathectomy (CS) might be expected therefore to leave significant amounts of releasable catecholamines in the myocardium if the vagi are left intact. Cardiac responses to tyramine (500 micrograms intracoronary) were compared in animals with CS, extrinsic cardiac denervation (CD), and chemical sympathectomy with 6-hydroxydopamine (6-OHDA). Dogs were placed on cardiopulmonary bypass and isovolumic pressures were recorded from the heart. In control animals, tyramine caused profound increases in rate (58%) and isovolumic pressures (86-170%). Ten CS animals demonstrated responses indistinguishable from control animals. Four CD and four 6-OHDA animals showed no response to tyramine. Cervical vagal stimulation after atropine in the CS animals produced tachycardia. Histofluorescent studies demonstrated the presence of significant numbers of cardiac adrenergic fibers in this group. The normal tyramine responsiveness of the CS animals was attributed to 1) significant numbers of vagal adrenergic fibers remaining in the heart after cervicothoracic sympathectomy, and 2) denervation supersensitivity, rendering the heart very responsive to the catecholamine that remains.

The effect of adrenertgic agonists on the cyclic AMP levels in atria from euthyroid and hypothyroid rats

To examine the effects of thyroid state on the production of cyclic AMP, left and right atria isolated from euthyroid and thyroidectomized male rats were exposed to the alpha adrenergic agonist methoxamine and the beta adrenergic agonist isoproterenol. Methoxamine increased force and rate in paced (1 Hz) left and spontaneously beating right atria, respectively, to a greater extent in the hypothyroid state than in the euthyroid state. Methoxamine was found to have no effect on cyclic AMP production in either the euthyroid or hypothyroid left and right atria. These effects were qualitatively different from those observed using a beta adrenoreceptor agonist. Isoproterenol increased cyclic AMP levels, force and rate in both thyroid states. The data of the present study support the hypothesis that the inotropic and chronotropic responses to alpha and beta adrenergic stimulation involves different mechanisms, such that only the beta-induced responses are cyclic AMP dependent. The data do not support the hypothesis that rat heart adrenoceptors undergo a conversion from beta to alpha in the hypothyroid state in terms of cyclic AMP production.

Blockade of the rate and force responses to phenylephrine on rat atria with labetalol

Evidence suggests that the combined alpha and beta adrenergic agonist phenylephrine influences cardiac tissue through stimulation of both alpha and beta adrenoceptors. Phenylephrine effected a positive inotropic and chronotropic response in paced (1 Hz) left and spontaneously beating right atria, respectively. In the presence of the combined alpha and beta adrenoceptor antagonist labetalol (5 x 10(-6)M) the rate and force responses to phenylephrine were completely abolished. The data suggest that phenylephrine exerts its inotropic and chronotropic effects through both alpha and beta adrenoceptors in such a way that both adrenoceptors must be blocked in order to completely abolish the responses induced by the dual agonist.