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首页> 外文期刊>Nuclear Physics, A: Journal Devoted to the Experimental Study of the Fundamental Constituents of Matter and Their Actions >Microscopic theory of dissipation for slowly time-dependent mean field potentials
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Microscopic theory of dissipation for slowly time-dependent mean field potentials

机译：耗散的微观理论，用于缓慢地依赖于时间的平均场势

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We study the dissipation rate (Q) over circle in systems of nucleons bound by a slowly time-dependent meanfield potential and slightly interacting between themselves. Starting from the many-body linear response formula we evaluate an expression for (Q) over circle in terms of the pure shell-model quantities and the nucleon-nucleon collision rate Gamma. The application of the classical sum rule leads then to an expression for (Q) over circle in terms of the classical-path integral with the weighting function including Gamma. For vanishing Gamma this expression reduces to the Koonin-Randrup Knudsen-gas formula. For simplified Skyrme interactions the classical approximation for the Gamma itself is obtained. In leptodermous systems the classical-path expression for (Q) over circle decomposes into the wall formula and the multiple-reflection term owing to incomplete randomization of particle motion between consecutive encounters with the boundary. The mean-free path and temperature dependence of dissipation is analyzed for small-amplitude distortions of spherical cavities. (c) 2005 Elsevier B.V. All rights reserved.
机译：我们研究了由慢时间依赖的平均场势和它们之间的轻微相互作用所束缚的核子系统中圆上的耗散率（Q）。从多体线性响应公式开始，我们根据纯壳模型数量和核子-核子碰撞率Gamma评估圆上的（Q）表达式。然后，经典求和规则的应用根据具有包括Gamma在内的加权函数的经典路径积分得出圆上的（Q）表达式。为了消除Gamma，此表达式将简化为Koonin-Randrup Knudsen-gas公式。对于简化的Skyrme相互作用，可以获得Gamma本身的经典近似值。在皮层系统中，由于连续接触边界之间的粒子运动不完全随机化，圆上（Q）的经典路径表达式分解为壁公式和多次反射项。针对球形腔的小振幅畸变，分析了散热的自由平均路径和温度依赖性。 （c）2005 Elsevier B.V.保留所有权利。

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