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Abstract
We consider a classical dilute particle system in a large box with pairinteraction given by a LennardJonestype 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.
Original language  English 

Pages (fromto)  603630 
Number of pages  28 
Journal  Communications in Mathematical Physics 
Volume  299 
Issue number  3 
DOIs  
Publication status  Published  Nov 2010 
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Projects
 1 Finished

INTERSECTION LOCAL TIMES AND STOCHASTIC PROCESSES IN RANDOM MEDIA
Morters, P.
Engineering and Physical Sciences Research Council
1/09/05 → 31/08/10
Project: Research council