… that applies to arbitrary measurable subsets of trajectories. And… trajectory classes, we
markedly strengthen statements of the Second Law [14]. Practically, too, by using trajectory classes …

… equations of motion for this single microscopic trajectory. However, we would have to take
care that our microscopic trajectory C …t†, was a typical trajectory and that it did not behave in …

… a known initial state over transient trajectories is often referred to as the transient fluctuation
… ) 9 ] can be applied to a larger class of dynamical systems (eg, constant temperature systems…

… arise from a simple fundamental timereversal symmetry of a certain class of … The fluctuation
theorems presented in this review are concerned with the probability distributions of trajectory…

… balance can be identified along fluctuating trajectories. For a basic … ) fluctuation theorem
(FT), it was first proven for a large class of … As a variant, a transient fluctuation theorem valid for …

… We shall call this trajectory the reversed trajectory and is … The class of stochastic behaviour
we shall consider will be … of A on both sides we obtain the integral fluctuation theorem …

… the fluctuation theorem is also valid for a class of stochastic nonequilibrium systems. The
theorem … Unlike steady-state FT’s, this transient fluctuation theorem is exact for all trajectory dura…

… wide class of dynamics; in each case, the detailed fluctuation … the detailed fluctuation theorem
for quantum trajectories, we … The detailed fluctuation theorem for the quantum trajectories …

… limit theorem are also proven. We need some properties of the motion of the second class
… bounded measurable function defined on the trajectories of the process is constant as By …

… In this paper we generalize the transient and steady-state fluctuation theorems … We will refer
to the trajectory starting at … has been shown to be valid for a wide class of stochastic systems.…