Level 2.5 large deviations for continuous time Markov chains with time periodic rates

التفاصيل البيبلوغرافية
العنوان: Level 2.5 large deviations for continuous time Markov chains with time periodic rates
المؤلفون: Bertini, L., Chetrite, R., Faggionato, A., Gabrielli, D.
سنة النشر: 2017
المجموعة: Mathematics
Condensed Matter
Mathematical Physics
مصطلحات موضوعية: Mathematics - Probability, Condensed Matter - Statistical Mechanics, Mathematical Physics, 60F10, 60J27, 82C05
الوصف: We consider an irreducible continuous time Markov chain on a finite state space and with time periodic jump rates and prove the joint large deviation principle for the empirical measure and flow and the joint large deviation principle for the empirical measure and current. By contraction we get the large deviation principle of three types of entropy production flow. We derive some Gallavotti-Cohen duality relations and discuss some applications.
Comment: 37 pages. corrected version
نوع الوثيقة: Working Paper
DOI: 10.1007/s00023-018-0705-3
URL الوصول: http://arxiv.org/abs/1710.08001
رقم الأكسشن: edsarx.1710.08001
قاعدة البيانات: arXiv
الوصف
DOI:10.1007/s00023-018-0705-3