Report
Fluctuation theorems for discrete kinetic models of molecular motors
| العنوان: | Fluctuation theorems for discrete kinetic models of molecular motors |
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| المؤلفون: | Faggionato, Alessandra, Silvestri, Vittoria |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Mathematical Physics, Mathematics - Probability |
| الوصف: | 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 includes the linear model considered in \cite{LLM1}. We also derive fluctuation theorems for the time-integrated cycle currents and discuss how the matrix approach of \cite{LLM1} can be extended to derive the above Gallavotti-Cohen symmetry for any Markov random walk on $\mathbb{Z}$ with periodic jump rates. Finally, we review in the present context some large deviation results of \cite{FS1} and give some specific examples with explicit computations. Comment: Modified Appendix B, added figure 13, minor modifications. 27 pages, 16 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1742-5468/aa6731 |
| URL الوصول: | http://arxiv.org/abs/1701.01721 |
| رقم الانضمام: | edsarx.1701.01721 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1742-5468/aa6731 |
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