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.
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.
|Item Type ||Articles|
|Creators||Collevecchio, A., Konig, W., Morters, P. and Sidorova, N.|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||Morters_CommMathPhy_2010_299_3_603.pdf: The original publication is available at www.springerlink.com|
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