Three detailed fluctuation theorems.

1 M ar 2 01 0 Three detailed fluctuation theorems

Unfying approach for fluctuation theorems from joint probability distributions

Any decomposition of the total trajectory entropy production for markovian systems have a joint probability distribution satisfying a generalized detailed fluctuation theorem, without relying in dual probability distributions, when all the contributing terms are odd with respect to time reversal. We show that several fluctuation theorems for perturbed non-equilibrium steady states are unified a...

Unifying approach for fluctuation theorems from joint probability distributions.

Any decomposition of the total trajectory entropy production for Markovian systems has a joint probability distribution satisfying a generalized detailed fluctuation theorem, when all the contributing terms are odd with respect to time reversal. The expression of the result does not bring into play dual probability distributions, hence easing potential applications. We show that several fluctua...

Entropy fluctuation theorems in driven open systems: application to electron counting statistics.

The total entropy production generated by the dynamics of an externally driven systems exchanging energy and matter with multiple reservoirs and described by a master equation is expressed as the sum of three contributions, each corresponding to a distinct mechanism for bringing the system out of equilibrium: Nonequilibrium initial conditions, external driving, and breaking of detailed balance....

Independence of the transient fluctuation theorem to thermostatting details.

The fluctuation theorems show how macroscopic irreversibility arises from time reversible microscopic dynamics. They have been confirmed in computer simulations and in laboratory experiments. The standard proofs of the transient fluctuation theorems involve the use of time reversible deterministic thermostats to control the temperature of the system of interest. These mathematical thermostats d...