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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.13516 |
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| _version_ | 1866913089904967680 |
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| author | Basile, Giada Benedetto, Dario |
| author_facet | Basile, Giada Benedetto, Dario |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13516 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entropy dissipation inequality for general binary collision models Basile, Giada Benedetto, Dario Mathematical Physics 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. |
| title | Entropy dissipation inequality for general binary collision models |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2512.13516 |