Heating, Cooling, and Equilibration of an Interacting Many-Fermion System

• 作者: Angel Ricardo Plastino Angelo Plastino Gustavo Luis Ferri
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Many-Fermion System Master Equation Temperature Disturbances Equilibration Process
• 年，卷（期）: 2020,（9）
• 页码范围: 1312-1325
• 页数: 14页
• 分类号: O17

摘要

We discuss the process of equilibrium’s attainment in an interacting many-fermions system linked to a heat reservoir, whose temperature <em>T</em> is subject to a short-time disturbance of total duration 2<span style="white-space:nowrap;"><em>&tau;</em>.</span> In this time-interval, its temperature increases up to a maximum value , cooling off afterward (also gradually) to its original value T_<em>M</em>. The process is described by a typical master equation that leads eventually to equilibration. We discuss how the equilibration process depends upon 1) the system’s fermion-number, 2) the fermion-fermion interaction’s strength <em>V</em>, 3) the disturbance duration <span style="white-space:nowrap;"><span style="white-space:nowrap;">2<span style="white-space:nowrap;"><em>&tau;</em></span></span></span><em></em>, and finally 4) the maximum number of equations <em>N</em> of the master equation.