Colloquium: Statistical mechanics and thermodynamics at strong coupling: Quantum and classical

P Talkner, P Hänggi - Reviews of Modern Physics, 2020 - APS
The statistical mechanical description of small systems staying in thermal equilibrium with an
environment can be achieved by means of the Hamiltonian of mean force. In contrast to the …

Steps minimize dissipation in rapidly driven stochastic systems

S Blaber, MD Louwerse, DA Sivak - Physical Review E, 2021 - APS
Micro-and nanoscale systems driven by rapid changes in control parameters (control
protocols) dissipate significant energy. In the fast-protocol limit, we find that protocols that …

Multidimensional minimum-work control of a 2D Ising model

MD Louwerse, DA Sivak - The Journal of Chemical Physics, 2022 - pubs.aip.org
A system's configurational state can be manipulated using dynamic variation of control
parameters, such as temperature, pressure, or magnetic field; for finite-duration driving …

Direct measurement of weakly nonequilibrium system entropy is consistent with Gibbs–Shannon form

M Gavrilov, R Chétrite… - Proceedings of the …, 2017 - National Acad Sciences
Stochastic thermodynamics extends classical thermodynamics to small systems in contact
with one or more heat baths. It can account for the effects of thermal fluctuations and …

Skewed thermodynamic geometry and optimal free energy estimation

S Blaber, DA Sivak - The Journal of Chemical Physics, 2020 - pubs.aip.org
Free energy differences are a central quantity of interest in physics, chemistry, and biology.
We develop design principles that improve the precision and accuracy of free energy …

Convergence of large-deviation estimators

CM Rohwer, F Angeletti, H Touchette - Physical Review E, 2015 - APS
We study the convergence of statistical estimators used in the estimation of large-deviation
functions describing the fluctuations of equilibrium, nonequilibrium, and manmade …

Convergence of the integral fluctuation theorem estimator for nonequilibrium Markov systems

F Coghi, L Buffoni, S Gherardini - Journal of Statistical …, 2023 - iopscience.iop.org
The integral fluctuation theorem (IFT) for entropy production is among the few equalities that
are known to be valid for physical systems arbitrarily driven far from equilibrium …

Number of trials required to estimate a free-energy difference, using fluctuation relations

N Yunger Halpern, C Jarzynski - Physical Review E, 2016 - APS
The difference Δ F between free energies has applications in biology, chemistry, and
pharmacology. The value of Δ F can be estimated from experiments or simulations, via …

Unbiased free energy estimates in fast nonequilibrium transformations using Gaussian mixtures

P Procacci - The Journal of Chemical Physics, 2015 - pubs.aip.org
In this paper, we present an improved method for obtaining unbiased estimates of the free
energy difference between two thermodynamic states using the work distribution measured …

Comment on “Measurability of nonequilibrium thermodynamics in terms of the Hamiltonian of mean force”

P Talkner, P Hänggi - Physical Review E, 2020 - APS
In a recent paper [Phys. Rev. E 101, 050101 (R)(2020) PREHBM 2470-0045
10.1103/PhysRevE. 101.050101] an attempt is presented to formulate the nonequilibrium …