标题： 微可逆性与磁场中的非平衡响应理论 显示英文标题

标题： Microreversibility and nonequilibrium response theory in magnetic fields

摘要： 对于受到外部磁场作用的开放系统，由于微观可逆性，在偏离平衡的任意阶次下，建立了其波动电流的统计累积量与其响应系数之间的关系。这些关系是通过扩展此类系统的波动关系得出的，并利用了在[ M. Barbier 和 P. Gaspard, J. Phys. A: Math. Theor. 51 (2018) 355001 ]中开发的方法进行分析的。我们明确地识别出在统计累积量及其非平衡响应中，哪些量是独立的，因此由波动关系，即由微观可逆性所未指定的。我们还通过欧拉多项式的系数，找到了依赖量相对于独立量的显式表达式。 显示英文摘要

摘要： For open systems subjected to external magnetic fields, relations between the statistical cumulants of their fluctuating currents and their response coefficients are established at arbitrary orders in the deviations from equilibrium, as a consequence of microreversibility. These relations are systematically deduced from the extension of the fluctuation relation for this class of systems, and analyzed by using methods developed in [M. Barbier and P. Gaspard, J. Phys. A: Math. Theor. 51 (2018) 355001]. We unambiguously identify, among the statistical cumulants and their nonequilibrium responses, which of these quantities are independent and thus left unspecified by the fluctuation relation, i.e. by microreversibility. We also find the explicit expression of the dependent quantities in terms of the independent ones by means of coefficients of Euler polynomials.