Critical behavior from Landau theory in nanothermodynamic equilibrium

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Abstract

Two modern thermostatistical techniques are used to treat classical Landau-like theories. A Ginzburg-Landau model is simplified using Kadanoff blocks that fluctuate independently, and the Landau energy is lowered using a nanothermodynamic ensemble with no constraints. Advantages of these techniques include eliminating explicit surface terms between real-space blocks, and minimizing the free energy to give the true thermal equilibrium. The theory yields non-uniform clustering, non-exponential relaxation, and non-classical critical scaling, similar to behavior found near the liquid-glass and ferromagnetic transitions. 2003 Elsevier B.V. All rights reserved.

Original languageEnglish (US)
Pages (from-to)313-318
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume315
Issue number3-4
DOIs
StatePublished - Aug 25 2003

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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