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Second order phase transitions: from infinite to finite systems

1995/12/13 by P. Finocchiaro, M. Belkacem, T. Kubo +2 · 31 citations
Mathematics · Physics and Astronomy · #Boundary (topology) #Boundary value problem #Critical mass (sociodynamics) #Critical point (mathematics) #Distribution (mathematics) #Function (biology) #Ground state #Partition function (quantum field theory) #Phase transition #Power law #Statistical Mechanics and Entropy #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #nucl-th

paper · pdf · doi:10.1016/0375-9474(96)00040-1

published in Nuclear Physics A 600(2), 236-250 (Elsevier BV) · RevTex file, 17 pages + 9 figures available upon request from [email protected]

arxiv created 1995/12/13 · openalex publication_date 1996/04/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate the Equation of State (EOS) of classical systems having 300 and 512 particles confined in a box with periodic boundary conditions. We show that such a system, independently on the number of particles investigated, has a critical density of about 1/3 the ground state density and a critical temperature of about 2.5~ MeV. The mass distribution at the critical point exhibits a power law with τ= 2.23. Making use of the grand partition function of Fisher's droplet model, we obtain an analytical EOS around the critical point in good agreement with the one extracted from the numerical simulations.

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