2017
DOI: 10.1088/1742-5468/aa6731
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Fluctuation theorems for discrete kinetic models of molecular motors

Abstract: Motivated by discrete kinetic models for non-cooperative molecular motors on periodic tracks, we consider random walks (also not Markov) on quasi one dimensional (1d) lattices, obtained by gluing several copies of a fundamental graph in a linear fashion. We show that, for a suitable class of quasi-1d lattices, the large deviation rate function associated to the position of the walker satisfies a Gallavotti-Cohen symmetry for any choice of the dynamical parameters defining the stochastic walk. This class includ… Show more

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Cited by 4 publications
(2 citation statements)
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“…In [16] we will continue our analysis discussing more in detail the connection with the GC functional [32] and why the validity of the GC symmetry for the above class of quasi 1d lattices is indeed a consequence of a universal symmetry for algebraic currents [17]. In [16] we will also consider some examples.…”
Section: Introductionmentioning
confidence: 99%
“…In [16] we will continue our analysis discussing more in detail the connection with the GC functional [32] and why the validity of the GC symmetry for the above class of quasi 1d lattices is indeed a consequence of a universal symmetry for algebraic currents [17]. In [16] we will also consider some examples.…”
Section: Introductionmentioning
confidence: 99%
“…applications to biochemical processes (see e.g. [1,2,7,8,14,15] and references therein), it is relevant to extend the above analysis to generalized empirical currents along cycles (or equivalently, chords).…”
Section: Fluctuation Theorem For the Empirical Current Along Chordsmentioning
confidence: 99%