The large deviation principle and steady-state fluctuation theorem for the entropy production rate of a stochastic process in magnetic fields | |
Chen,Yong1; Ge,Hao2; Xiong,Jie3; Xu,Lihu3,4 | |
2016-07 | |
Source Publication | Journal of Mathematical Physics |
ISSN | 00222488 |
Volume | 57Issue:7 |
Abstract | Fluctuation theorem is one of the major achievements in the field of nonequilibrium statistical mechanics during the past two decades. There exist very few results for steady-state fluctuation theorem of sample entropy production rate in terms of large deviation principle for diffusion processes due to the technical difficulties. Here we give a proof for the steady-state fluctuation theorem of a diffusion process in magnetic fields, with explicit expressions of the free energy function and rate function. The proof is based on the Karhunen-Loève expansion of complex-valued Ornstein-Uhlenbeck process. |
DOI | http://doi.org/10.1063/1.4958978 |
URL | View the original |
Indexed By | SCI |
Language | 英语 |
WOS Research Area | Physics |
WOS Subject | Physics, Mathematical |
WOS ID | WOS:000382444300025 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Affiliation | 1.School of Mathematics and Computing ScienceHunan University of Science and Technology,Xiangtan, Hunan,411201,China 2.Beijing International Center for Mathematical Research and Biodynamic Optical Imaging CenterPeking University,Beijing,100871,China 3.Department of MathematicsFaculty of Science and TechnologyUniversity of Macau,Taipa Macau,China 4.UMacau Zhuhai Research Institute,Zhuhai, Canton province,519080,China |
Recommended Citation GB/T 7714 | Chen,Yong,Ge,Hao,Xiong,Jie,et al. The large deviation principle and steady-state fluctuation theorem for the entropy production rate of a stochastic process in magnetic fields[J]. Journal of Mathematical Physics,2016,57(7). |
APA | Chen,Yong,Ge,Hao,Xiong,Jie,&Xu,Lihu.(2016).The large deviation principle and steady-state fluctuation theorem for the entropy production rate of a stochastic process in magnetic fields.Journal of Mathematical Physics,57(7). |
MLA | Chen,Yong,et al."The large deviation principle and steady-state fluctuation theorem for the entropy production rate of a stochastic process in magnetic fields".Journal of Mathematical Physics 57.7(2016). |
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