Phase transitions for dilute particle systems with Lennard-Jones potential


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.

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    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
    CreatorsCollevecchio, A., Konig, W., Morters, P. and Sidorova, N.
    Related URLs
    URLURL Type
    DepartmentsFaculty of Science > Mathematical Sciences
    Research Centres
    Centre for Mathematical Biology
    Publisher StatementMorters_CommMathPhy_2010_299_3_603.pdf: The original publication is available at
    ID Code16680


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