Stochastic thermodynamics, fluctuation theorems and molecular machines

U Seifert - Reports on progress in physics, 2012 - iopscience.iop.org
Stochastic thermodynamics as reviewed here systematically provides a framework for
extending the notions of classical thermodynamics such as work, heat and entropy …

Shortcuts to isothermality and nonequilibrium work relations

G Li, HT Quan, ZC Tu - Physical Review E, 2017 - APS
In conventional thermodynamics, it is widely acknowledged that the realization of an
isothermal process for a system requires a quasistatic controlling protocol. Here we propose …

Two refreshing views of fluctuation theorems through kinematics elements and exponential martingale

R Chetrite, S Gupta - Journal of Statistical Physics, 2011 - Springer
In the context of Markov evolution, we present two original approaches to obtain
Generalized Fluctuation-Dissipation Theorems (GFDT), by using the language of stochastic …

Nonequilibrium fluctuations for linear diffusion dynamics

C Kwon, JD Noh, H Park - Physical Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
We present the theoretical study on nonequilibrium (NEQ) fluctuations for diffusion dynamics
in high dimensions driven by a linear drift force. We consider a general situation in which …

Quantum corrections of work statistics in closed quantum systems

Z Fei, HT Quan, F Liu - Physical Review E, 2018 - APS
We investigate quantum corrections to the classical work characteristic function (CF) as a
semiclassical approximation to the full quantum work CF. In addition to explicitly establishing …

Equivalence of two Bochkov-Kuzovlev equalities in quantum two-level systems

F Liu - Physical Review E, 2014 - APS
We present two kinds of Bochkov-Kuzovlev work equalities in a two-level system that is
described by a quantum Markovian master equation. One is based on multiple time …

Stochastic thermodynamics with odd controlling parameters

G Li, ZC Tu - Physical Review E, 2019 - APS
Stochastic thermodynamics extends the notions and relations of classical thermodynamics
to small systems that experience strong fluctuations. The definitions of work and heat and …

Derivation of quantum work equalities using a quantum Feynman-Kac formula

F Liu - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
On the basis of a quantum mechanical analog of the famous Feynman-Kac formula, we
present a method to derive nonequilibrium work equalities for isolated quantum systems …

Fluctuation relations for diffusion that is thermally driven by a nonstationary bath

R Chetrite - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
In the context of the Markovian dynamical evolution in a nonstationary thermal bath, we
construct a family of fluctuation relations for the entropy production that are not verified by …

Nonequilibrium work equalities in isolated quantum systems

F Liu, ZC Ouyang - Chinese Physics B, 2014 - iopscience.iop.org
We briefly introduce the quantum Jarzynski and Bochkov—Kuzovlev equalities in isolated
quantum Hamiltonian systems, including their origin, their derivations using a quantum …