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A Model for Phase Transition based on Statistical Disassembly of Nuclei at Intermediate Energies

G. Chaudhuri·S. Das Gupta·M. Sutton
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Abstract

Consider a model of particles (nucleons) which has a two-body interaction which leads to bound composites with saturation properties. These properties are : all composites have the same density and the ground state energies of composites with k nucleons are given by -kW+σk^{2/3} where W and σare positive constants. W represents a volume term and σa surface tension term. These values are taken from nuclear physics. We show that in the large N limit where N is the number of particles such an assembly in a large enclosure at finite temperature shows properties of liquid-gas phase transition. We do not use the two-body interaction but the gross properties of the composites only. We show that (a) the p-ρisotherms show a region where pressure does not change as $ρ$ changes just as in Maxwell construction of a Van der Waals gas, (b) in this region the chemical potential does not change and (c) the model obeys the celebrated Clausius-Clapeyron relations. A scaling law for the yields of composites emerges. For a finite number of particles N (upto some thousands) the problem can be easily solved on a computer. This allows us to study finite particle number effects which modify phase transition effects. The model is calculationally simple. Monte-Carlo simulations are not needed.

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BibTeXRIS

G. Chaudhuri, S. Das Gupta, M. Sutton. 2006-07-05. A Model for Phase Transition based on Statistical Disassembly of Nuclei at Intermediate Energies. https://doi.org/10.1103/physrevb.74.174106

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