论文标题

恒定磁场中系统的波动关系

Fluctuation relations for systems in constant magnetic field

论文作者

Coretti, Alessandro, Rondoni, Lamberto, Bonella, Sara

论文摘要

研究了恒定磁场中系统的波动关系(FR)的有效性。最近,在存在静态电场和磁场和确定性恒温器的存在下保持的时间反向对称性被用于证明瞬态FR,而不会像通常这样做的那样调用磁场的反转。在T混合条件下,稳态FR也被得出。这些结果扩展了重要的统计力学关系的预测能力。我们通过耗散累积物的非线性响应来说明这一点,以表明如何确定单个磁场中的系统的分析性无效累积物。

The validity of the Fluctuation Relations (FR) for systems in a constant magnetic field is investigated. Recently introduced time-reversal symmetries that hold in presence of static electric and magnetic fields and of deterministic thermostats are used to prove the transient FR without invoking, as commonly done, inversion of the magnetic field. Steady-state FR are also derived, under the t-mixing condition. These results extend the predictive power of important statistical mechanics relations. We illustrate this via the non-linear response for the cumulants of the dissipation, showing how the new FR enable to determine analytically null cumulants also for systems in a single magnetic field.

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