Integral fluctuation relations for entropy production at stopping times

Fluctuation theorem for hidden entropy production.

Elimination of seemingly unnecessary variables in Markovian models may cause a difference in the value of irreversible entropy production between the original and reduced dynamics. We show that such difference, which we call the hidden entropy production, obeys an integral fluctuation theorem if all variables are time-reversal invariant, or if the density function is symmetric with respect to t...

Statistics of Infima and Stopping Times of Entropy Production and Applications to Active Molecular Processes

Izaak Neri, Édgar Roldán, and Frank Jülicher Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany Max Planck Institute of Molecular Cell Biology and Genetics, Pfotenhauerstraße 108, 01307 Dresden, Germany Center for Advancing Electronics Dresden cfAED, 01062 Dresden, Germany GISC-Grupo Interdisciplinar de Sistemas Complejos, 28040 Madrid, Spain (...

Fluctuation relations and positivity of the entropy production in irreversible dynamical systems

We give a generalization of fluctuation identities and inequalities for the entropy production when the microscopic dynamics preserves the phase space volume but is not assumed to be dynamically reversible. We find that general first properties such as the strict positivity of the entropy production or the validity of an H−theorem are unaffected by the irreversibility of the dynamics. Fluctuati...

Generalized entropy production fluctuation theorems for quantum systems

Based on trajectory dependent path probability formalism in state space, we derive generalized entropy production fluctuation relations for a quantum system in the presence of measurement and feedback. We have obtained these results for three different cases: (i) the system is evolving in isolation from its surroundings; (ii) the system being weakly coupled to a heat bath; and (iii) system in c...

Fluctuation bounds for entropy production estimators in Gibbs measures