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Statistical mechanics of the isothermal lane-emden equation (1982)

Messer, Joachim ; Spohn, Herbert

Springer

Journal of statistical physics 29 (1982), S. 561-578

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ISSN: 1572-9613

Keywords: Classical point particles ; Lane-Emden equation ; canonical ensemble ; instable interactions ; mean field limit ; equilibrium states

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract For classical point particles in a box Λ with potential energy H(N)=N −1(1/2) ∑ i≠j=1 N V(x i,x j) we investigate the canonical ensemble for largeN. We prove that asN→∞ the correlation functions are determined by the global minima of a certain free energy functional. Locally the distribution of particles is given by a superposition of Poisson fields. We study the particular case Λ=[−πL, πL] andV(x, y)=}-β cos(x−y),L}〉0, β}〉0.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01342187

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