Infinitely divisible distribution functions of class L and the Lee-Yang theorem (Q1062343)
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scientific article; zbMATH DE number 3913348
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinitely divisible distribution functions of class L and the Lee-Yang theorem |
scientific article; zbMATH DE number 3913348 |
Statements
Infinitely divisible distribution functions of class L and the Lee-Yang theorem (English)
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1984
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It is shown that the free-energy density of a large class of ferromagnets satisfying the Lee-Yang property [\textit{C. N. Yang} and \textit{T. D. Lee}, Phys. Rev., II. Ser. 87, 404-409 and 410-419 (1952; Zbl 0048.433)] is to be connected with the limit characteristic function of a suitably renormalized sum of independent and non-identically distributed random variables. Using the canonical representation formulae of such characteristic functions, various chains of inequalities are derived for the Ursell functions.
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statistical mechanics
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free-energy density
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Lee-Yang property
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canonical representation formulae
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