H-theorem do-conjecture
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866916404542832640 |
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| author | Süzen, Mehmet |
| author_facet | Süzen, Mehmet |
| contents | A pedagogical formulation of Loschmidt's paradox and H-theorem is presented with basic notation on occupancy on discrete states without invoking velocity collision operators. A conjecture, so called H-theorem do-conjecture, is formulated. Causal inference perspective on the dynamical evolution of classical many-particle system is invoked. This perspectice introduce a probabilistic view on the state of the system conditioning on the thermodyamic ensemble, i.e., function of state-variables representing the ensemble. A numerical simulation of random walkers for deterministic diffusion demonstrate the causal effect of interventional ensemble, showing a dynamical behaviour as a test of the proposed conjecture. Moreover, the chosen game like dynamics provides an accessible practical example, named Ising-Conway Entropy Game, in order to demonstrate increase in entropy over time, as a toy system of statistical physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01458 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | H-theorem do-conjecture Süzen, Mehmet Statistical Mechanics 82B03, 82B30, 91A50 G.3; F.2.1 A pedagogical formulation of Loschmidt's paradox and H-theorem is presented with basic notation on occupancy on discrete states without invoking velocity collision operators. A conjecture, so called H-theorem do-conjecture, is formulated. Causal inference perspective on the dynamical evolution of classical many-particle system is invoked. This perspectice introduce a probabilistic view on the state of the system conditioning on the thermodyamic ensemble, i.e., function of state-variables representing the ensemble. A numerical simulation of random walkers for deterministic diffusion demonstrate the causal effect of interventional ensemble, showing a dynamical behaviour as a test of the proposed conjecture. Moreover, the chosen game like dynamics provides an accessible practical example, named Ising-Conway Entropy Game, in order to demonstrate increase in entropy over time, as a toy system of statistical physics. |
| title | H-theorem do-conjecture |
| topic | Statistical Mechanics 82B03, 82B30, 91A50 G.3; F.2.1 |
| url | https://arxiv.org/abs/2310.01458 |