We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Linear Response Theory and Entropic Fluctuations in Repeated Interaction Quantum Systems.
- Authors
Bougron, Jean-François; Bruneau, Laurent
- Abstract
We study linear response theory and entropic fluctuations of finite dimensional non-equilibrium Repeated Interaction Systems (RIS). More precisely, in a situation where the temperatures of the probes can take a finite number of different values, we prove analogs of the Green–Kubo fluctuation–dissipation formula and Onsager reciprocity relations on energy flux observables. Then we prove a Large Deviation Principle, or Fluctuation Theorem, and a Central Limit Theorem on the full counting statistics of entropy fluxes. We consider two types of non-equilibrium RIS: either the temperatures of the probes are deterministic and arrive in a cyclic way, or the temperatures of the probes are described by a sequence of i.i.d. random variables with uniform distribution over a finite set.
- Subjects
FLUCTUATIONS (Physics); CENTRAL limit theorem; RANDOM variables; NONEQUILIBRIUM statistical mechanics; FLUX (Energy); LARGE deviations (Mathematics)
- Publication
Journal of Statistical Physics, 2020, Vol 181, Issue 5, p1636
- ISSN
0022-4715
- Publication type
Article
- DOI
10.1007/s10955-020-02640-x