On decompositions of non-reversible processes
arXiv:2210.03666 · doi:10.1088/1742-6596/2514/1/012007
Abstract
Markov chains are studied in a formulation involving forces and fluxes. First, the iso-dissipation force recently introduced in the physics literature is investigated; we show that its non-uniqueness is linked to different notions of duality giving rise to dual forces. We then study Hamiltonians associated to variational formulations of Markov processes, and develop different decompositions for them.
References in corpus (4)
- Irreversible Langevin samplers and variance reduction: a large deviation approach
- Geometric decomposition of entropy production into excess, housekeeping and coupling parts
- Symmetries and Geometrical Properties of Dynamical Fluctuations in Molecular Dynamics
- Variational structures beyond gradient flows: a macroscopic fluctuation-theory perspective