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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.

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    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.

    Details

    Item Type Articles
    CreatorsCollevecchio, A., Konig, W., Morters, P. and Sidorova, N.
    DOI10.1007/s00220-010-1097-5
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementMorters_CommMathPhy_2010_299_3_603.pdf: The original publication is available at www.springerlink.com
    RefereedYes
    StatusPublished
    ID Code16680

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