Stochastic thermodynamics: dissipativity, accumulativity, energy storage and entropy production
Abstract
In this paper, we develop an energy-based dynamical system model driven by a Markov input process to present a unified framework for stochastic thermodynamics predicated on a stochastic dynamical systems formalism. Specifically, using a stochastic dissipativity, losslessness and accumulativity theory, we develop a nonlinear stochastic port-Hamiltonian system model characterized by energy conservation and entropy non-conservation laws that are consistent with statistical thermodynamic principles. In particular, we show that the difference between the average stored system energy and the average supplied system energy for our stochastic thermodynamic model is a martingale with respect to the system filtration, whereas the difference between average system entropy production and the average system entropy consumption is a submartingale with respect to the system filtration.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Aug 14, 2023
- Source ID
- 10.1098/rsta.2022.0284
Entities
People
- Manuel Lanchares
- Wassim M. Haddad
Organizations
- Air Force Office of Scientific Research
- Georgia Tech