Second Order Phase Transitions : From In nite to Finite Systems
نویسندگان
چکیده
We investigate the Equation of State (EOS) of classical systems having 300 and 512 particles con ned 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 = 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. PACS: 25.70.-z, 25.75.+r, 64.30.+t, 64.70.-p present address: Universitat T ubingen, Institut f ur Theoretische Physik, D-71076 T ubingen, Germany
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