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- W4321372987 abstract "We study the set of integer partitions as a probability space that generates distributions and, in the asymptotic limit, obeys thermodynamics. We view ordered integer partition as a configuration of cluster masses and associate them with the distribution of masses it contains. We organized the set of ordered partitions into a table that forms a microcanonical ensemble and whose columns form a set of canonical ensembles. We define a functional of the distribution (selection functional) that establishes a probability measure on the distributions of the ensemble, study the combinatorial properties of this space, define its partition functions, and show that, in the asymptotic limit, this space obeys thermodynamics. We construct a stochastic process that we call exchange reaction and used it to sample the mean distribution by Mote Carlo simulation. We demonstrated that, with appropriate choice of the selection functional, we can obtain any distribution as the equilibrium distribution of the ensemble." @default.
- W4321372987 created "2023-02-21" @default.
- W4321372987 creator A5058603985 @default.
- W4321372987 date "2023-02-20" @default.
- W4321372987 modified "2023-09-25" @default.
- W4321372987 title "Combinatorics and Statistical Mechanics of Integer Partitions" @default.
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- W4321372987 doi "https://doi.org/10.3390/e25020385" @default.
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