A work fluctuation theorem for a Brownian particle in a non confining potentia
arXiv:2101.03568 · doi:10.1103/PhysRevResearch.3.013115
Abstract
Using the Feynman-Kac formula, a work fluctuation theorem for a Brownian particle in a nonconfining potential, e.g., a potential well with finite depth, is derived. The theorem yields aninequality that puts a lower bound on the average work needed to change the potential in time.In comparison to the Jarzynski equality, which holds for confining potentials, an additional termdescribing a form of energy related to the never ending diffusive expansion appears.
References in corpus (18)
- A nonequilibrium equality for free energy differences
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- Steady State Thermodynamics of Langevin Systems
- Generalized Jarzynski Equality under Nonequilibrium Feedback Control
- Three detailed fluctuation theorems
- Irreversibility in active matter systems: Fluctuation theorem and mutual information
- Infinite Ergodic Theory for Heterogeneous Diffusion Processes
- Second law of thermodynamics at stopping times
- Integral Fluctuation Relations for Entropy Production at Stopping Times
- Solution of the Fokker-Planck equation with a logarithmic potential
- From Non-normalizable Boltzmann-Gibbs statistics to infinite-ergodic theory
- Ergodic properties of heterogeneous diffusion processes in a potential well
- Infinite ergodic theory meets Boltzmann statistics
- Infinite invariant density in a semi-Markov process with continuous state variables
- Nonequilibrium thermodynamics at the microscale: Work relations and the second law
- Regularized Boltzmann-Gibbs statistics for a Brownian particle in a non-confining field