Microreversibility and nonequilibrium response theory in magnetic fields

Abstract

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.

30 pages

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• Fluctuation relations for systems in constant magnetic field
• Fluctuation relations for dissipative systems in constant external magnetic field: theory and molecular dynamics simulations
• Microreversibility and quantum transport in Aharonov-Bohm rings
• Tensor-Network Approaches to Counting Statistics for the Current in a Boundary-Driven Diffusive System