Entropy Dissipation Inequality for General Binary Collision Models
Abstract
Abstract We introduce a “two-particle factorization” condition which allows us to formulate the homogeneous Boltzmann equation for non-reversible collision kernels in terms of an entropy inequality. This formulation yields an H-Theorem. We provide some examples of non-reversible binary collision models with a concentration/dispersion mechanism, as in opinion dynamics, which satisfy this condition. As a preliminary step, we also provide an analogous variational formulation of non-reversible continuous time Markov chains, expressed in terms of an entropy dissipation inequality.
Fields of Study & Subjects
Gas Dynamics and Kinetic Theory
Statistical Mechanics and Entropy
Distributed Control Multi-Agent Systems
Publication details
- Journal / source
- Journal of Statistical Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 193
- Issue
- 8
- Publication date
- 4 August 2026
- Language
- EN