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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