Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-07-05
Physics
Condensed Matter
Statistical Mechanics
RevTex file, 21 pages, 5 figures
Scientific paper
10.1103/PhysRevB.74.174106
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+\sigma k^{2/3} where W and \sigma are positive constants. W represents a volume term and \sigma a 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-\rho isotherms show a region where pressure does not change as $\rho$ 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.
Chaudhuri Gargi
Gupta Subal Das
Sutton Mark
No associations
LandOfFree
A Model for Phase Transition based on Statistical Disassembly of Nuclei at Intermediate Energies does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Model for Phase Transition based on Statistical Disassembly of Nuclei at Intermediate Energies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Model for Phase Transition based on Statistical Disassembly of Nuclei at Intermediate Energies will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-45209