Microreversibility, nonequilibrium current fluctuations, and response theory

Microreversibility rules the fluctuations of the currents flowing across open systems in nonequilibrium (or equilibrium) steady states. As a consequence, the statistical cumulants of the currents and their response coefficients at arbitrary orders in the deviations from equilibrium obey time-reversal symmetry relations, as established in quantum statistical mechanics. It is shown that some of these relations satisfy recurrences that can be...