Crooks fluctuation theorem

Collin, D. Ritort, F. Jarzynski, C. Smith, S.B. Tinoco, I. Bustamante, C. Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies. Nature... 

This relation is called the Jarzynski equality (hereafter referred to as JE) and can be used to recover free energies from nonequilibrium simulations or experiments (see Section IV.B.2). The FT in Eq. (27) becomes the Crooks fluctuation theorem (hereafter referred to as GET) [45, 46] ... 

D. Collin, F. Ritort, C. Jarzynski, S. B. Smith, I. Tinoco, Jr., and C. Bustamante, Veriflcation of the crooks fluctuation theorem and recovery of RNA folding free energies. Nature 437, 231-234 (2005). 

Equation (3.12) is an identity that does not depend on the details of the kinetic reaction mechanism that is operating in a particular system [19], We [19] have shown that Equation (3.12) is intimately related to the Crooks fluctuation theorem [41] - an important result in non-equilibrium statistical thermodynamics - as well as to theories developed by Hill [87, 90], Ussing [201], and Hodgkin and Huxley [95],... 

Consider a system in thermal contact with a constant temperature heat bath and driven by a time-dependent process. Crooks fluctuation theorem (Crooks, 1999) is for stochastic microscopically reversible dynamics and given by... 

Generalized Crooks fluctuation theorem compares the probability of the original process with the time-reversed process ... 

This analysis illustrates the estimation of the free-energy change of nonequilibrium dynamics of kinesin by using the Crooks fluctuation theorem. 

This result says in essence that the probability of a positive increase in entropy is exponentially greater than the probability of a decrease in entropy during mechanical work. This is in essence the fluctuation theorem that was first derived by Bochkov and Kuzovlev [58-60] and later by Evans et al. [56, 57]. A derivation has also been given by Crooks [61, 62], and the theorem has been verified experimentally [63]. The present derivation is based on the author s microscopic transition probability [4]. 

Crooks, G. E., Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences, Phys. Rev. E 1999,60, 2721-2726... 

Crooks stationary fluctuation theorem relates entropy production to the dynamical randomness of the stochastic processes. Therefore, it relates the statistics of fluctuations to the nonequilibrium thermodynamics through the entropy production estimations. The theorem predicts that entropy production will be positive as either the system size or the observation time increases and the probability of observing an entropy production opposite to that dictated by the second law of thermodynamics decreases exponentially. 

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