Jarzynski’s Equality, Fluctuation Theorems, and Variance Reduction: Mathematical Analysis and Numerical Algorithms
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-019-02286-4
Abstract: In this paper, we study Jarzynski’s equality and fluctuation theorems for diffusion processes. While some of the results considered in the current work are known in the (mainly physics) literature, we review and generalize these… read more here.
Keywords: jarzynski equality; fluctuation theorems; equality fluctuation; variance reduction ... See more keywords
Jarzynski equality for superconducting optical cavities: An alternative path to determine Helmholtz free energy
Sign Up to like & getrecommendations! Published in 2019 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2018.12.042
Abstract: A superconducting cavity model was proposed as a way to experimentally investigate the work performed in a quantum system. We found a simple mathematical relationship between the free energy variation and visibility measurement in quantum… read more here.
Keywords: free energy; determine; equality superconducting; jarzynski equality ... See more keywords
Exact work distribution and Jarzynski's equality of a relativistic particle in an expanding piston.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review. E"
DOI: 10.1103/physreve.110.024128
Abstract: We study the nonequilibrium work in a pedagogical model of relativistic ideal gas. We obtain the exact work distribution and verify Jarzynski's equality. In the nonrelativistic limit, our results recover the nonrelativistic results of Lua… read more here.
Keywords: work distribution; jarzynski equality; exact work; work ... See more keywords
Modified Jarzynski equality in a microcanonical ensemble.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review. E"
DOI: 10.1103/physreve.111.l012102
Abstract: We show that the conventional Jarzynski equality does not hold for a system prepared in a microcanonical ensemble. We derive a modified equality that connects microcanonical work fluctuations to entropy production, in an analogous way… read more here.
Keywords: equality microcanonical; jarzynski equality; microcanonical ensemble; modified jarzynski ... See more keywords
Nonequilibrium free-energy estimation conditioned on measurement outcomes.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.022155
Abstract: The Jarzynski equality is one of the most influential results in the field of nonequilibrium statistical mechanics. This celebrated equality allow the calculation of equilibrium free-energy differences from work distributions of nonequilibrium processes. In practice,… read more here.
Keywords: jarzynski equality; energy; nonequilibrium free; free energy ... See more keywords