The steady state entropy production rate is decompose in terms of fundamental fluxes and affinities in the spirit of Schnakenberg's theory of network thermodynamics, paving the way for the forthcoming treatment of the linear regime, of efficiency and tight coupling, of free energy transduction, and of thermodynamic constraints for network reconstruction.Expand

We assume that Markovian dynamics on a finite graph enjoys a gauge symmetry under local scalings of the probability density, derive the transformation law for the transition rates and interpret the… Expand

Statistical invariance of Wiener increments under SO(n) rotations provides a notion of gauge transformation of state-dependent Brownian motion. We show that the stochastic dynamics of… Expand

It is shown that an equilibriumlike FDR holds for internally equilibrated currents, if the perturbing conjugate force only affects the microscopic transitions that contribute to the current.Expand

We derive the statistics of the efficiency under the assumption that thermodynamic fluxes fluctuate with normal law, parametrizing it in terms of time, macroscopic efficiency, and a coupling… Expand

It is corroborated that efficient engines at divergent power output are not theoretically impossible, framing their claims within the theory of Stochastic Thermodynamics.Expand

The results stand on the mathematical construction of a hidden time reversal of the dynamics, and on the physical requirement that the observed current only accounts for a single transition in the configuration space of the system.Expand

A partitioning of the total entropy production into two contributions that individually verify integral fluctuation theorems is established: an observable partial entropy production and a hidden entropy production assigned to the unobserved subsystem.Expand

The so-called fluctuation theorems pushed the study of systems far beyond equilibrium, whose response to thermodynamic forces (affinities) is characterized by the reciprocal and the… Expand

We prove a transient fluctuation theorem for the currents for continuous-time Markov jump processes with stationary rates, generalizing an asymptotic result by Andrieux and Gaspard (2007 J. Stat.… Expand