A study of perfect wetting for Potts and Blume-Capel models with correlation inequalities

Journal Article · Fri Jul 01 00:00:00 EDT 1988 · Journal of Statistical Physics; (USA)

DOI:https://doi.org/10.1007/BF01016403· OSTI ID:5394299

De Coninck, J; Messager, A; Miracle-Sole, S; Ruiz, J ^[1]

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1. CNRS-Luminy, Marseille (France)

The so-called perfect wetting phenomenon is studied for the q-state, d {>=} 2 Potts model. Using a new correlation inequality, a general inequality is established for the surface tension between ordered phases ({sigma}{sup a,b}) and the surface tension between an ordered and the disordered phases ({sigma}{sup a,f}) for any even value of q. This result implies in particular {sigma}{sub {beta}{sub t}}{sup a,b} {>=} {sigma}{sub {beta}{sub t}}{sup a,f} + {sigma}{sub {beta}{sub t}}{sup b,f} > 0 at the transition point {beta}{sub t} where the previous phases coexist for q large. This inequality is connected to perfect wetting at the transition point using thermodynamic considerations. The same kinds of results are derived for the Blume-Capel model.

• OSTI ID: 5394299
• Journal Information: Journal of Statistical Physics; (USA), Vol. 52:1-2, Issue 1-2; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CRYSTAL MODELS
WETTABILITY
CORRELATION FUNCTIONS
EXPECTATION VALUE
FREE ENTHALPY
HAMILTONIANS
ORDER PARAMETERS
ORDER-DISORDER TRANSFORMATIONS
PHASE DIAGRAMS
PHASE STUDIES
STATISTICAL MECHANICS
SURFACE TENSION
THERMODYNAMICS
TRANSITION TEMPERATURE
DIAGRAMS
ENERGY
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
QUANTUM OPERATORS
SURFACE PROPERTIES
THERMODYNAMIC PROPERTIES
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics