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Towards the rigorous theory of phase transitions in continuous systems

✍ Scribed by R. Gielerak

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
335 KB
Volume
232
Category
Article
ISSN
0378-4371

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✦ Synopsis

We present the lattice spin system approximations for a large class of continuous systems of classical particles. In particular, a constructive strategy for proving liquid/gas-phase transition is outlined. We describe low-temperature expansion around a hypothetical classical crystalline ground-state configuration for the free energy density in terms of high temperature/high-density lattice dipole systems with long-range interactions.

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## Abstract A molecular theory of phase transitions in fatty acid monolayers at the air/water interface is proposed based on rotational ordering of molecules about their longitudinal axes. The first order statistical mechanical lattice model of Bell, Mingins, and Taylor (BMT) which is an equilibriu