Phase transitions for dilute particle systems with Lennard-Jones potential

Reference:

Collevecchio, A., Konig, W., Morters, P. and Sidorova, N., 2010. Phase transitions for dilute particle systems with Lennard-Jones potential. Communications in Mathematical Physics, 299 (3), pp. 603-630.

Related documents:

Preview

PDF (Morters_CommMathPhy_2010_299_3_603.pdf) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader Download (323kB) | Preview

Official URL:

http://dx.doi.org/10.1007/s00220-010-1097-5

Abstract

We consider a classical dilute particle system in a large box with pair-interaction given by a Lennard-Jones-type potential. The inverse temperature is picked proportionally to the logarithm of the particle density. We identify the free energy per particle in terms of a variational formula and show that this formula exhibits a cascade of phase transitions as the temperature parameter ranges from zero to infinity. Loosely speaking, the particle system separates into spatially distant components in such a way that within each phase all components are of the same size, which is the larger the lower the temperature. The main tool in our proof is a new large deviation principle for sparse point configurations.

Export

Actions (login required)