On the origin of the Boltzmann distribution
| Autor: | Sandomirskiy, Fedor, Tamuz, Omer |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The Boltzmann distribution is used in statistical mechanics to describe the distribution of states in systems with a given temperature. We give a novel characterization of this distribution as the unique one satisfying independence for uncoupled systems. The theorem boils down to a statement about symmetries of the convolution semigroup of finitely supported probability measures on the natural numbers, or, alternatively, about symmetries of the multiplicative semigroup of polynomials with non-negative coefficients. Comment: 21 pages, 0 figures |
| Databáze: | arXiv |
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