dorsal/arxiv
View SchemaFoundations of Statistical Mechanics and Theory of Phase Transition
| Authors | E. D. Belokolos |
|---|---|
| Categories | |
| ArXiv ID | physics/9703007 |
| URL | https://arxiv.org/abs/physics/9703007 |
Abstract
A new formulation of statistical mechanics is put forward according to which a random variable characterizing a macroscopic body is postulated to be infinitely divisible. It leads to a parametric representation of partition function of an arbitrary macroscopic body, a possibility to describe a macroscopic body under excitation by a gas of some elementary quasiparticles etc. A phase transition is defined as such a state of a macroscopic body that its random variable is stable in sense of L\'evy. From this definition it follows by deduction all general properties of phase transitions: existence of the renormalization semigroup, the singularity classification for thermodynamic functions, the phase transition universality and universality classes. On this basis we has also built a 2-parameter scaling theory of phase transitions, a thermodynamic function for the Ising model etc.
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"abstract": "A new formulation of statistical mechanics is put forward according to which\na random variable characterizing a macroscopic body is postulated to be\ninfinitely divisible. It leads to a parametric representation of partition\nfunction of an arbitrary macroscopic body, a possibility to describe a\nmacroscopic body under excitation by a gas of some elementary quasiparticles\netc. A phase transition is defined as such a state of a macroscopic body that\nits random variable is stable in sense of L\\\u0027evy. From this definition it\nfollows by deduction all general properties of phase transitions: existence of\nthe renormalization semigroup, the singularity classification for thermodynamic\nfunctions, the phase transition universality and universality classes. On this\nbasis we has also built a 2-parameter scaling theory of phase transitions, a\nthermodynamic function for the Ising model etc.",
"arxiv_id": "physics/9703007",
"authors": [
"E. D. Belokolos"
],
"categories": [
"math-ph",
"math.MP"
],
"title": "Foundations of Statistical Mechanics and Theory of Phase Transition",
"url": "https://arxiv.org/abs/physics/9703007"
},
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