Conditional Gaussian fluctuations and refined asymptotics of the spin in the phase-coexistence region

DOI10.1007/s10955-012-0620-9zbMath1263.82018OpenAlexW2145087636MaRDI QIDQ1938803

Richard S. Ellis, Jingran Li

Publication date: 25 February 2013

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://scholarworks.umass.edu/cgi/viewcontent.cgi?article=1812&context=open_access_dissertations

zbMATH Keywords

tricritical pointlarge deviation principlesecond-order phase transitionfinite-size scalingmoderate deviation principlefinite-size magnetizationthermodynamic magnetizationconditional central limit theorems

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Large deviations (60F10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of magnetic materials (82D40)

Cites Work

• Asymptotic behavior of the finite-size magnetization as a function of the speed of approach to criticality
• Limit theorems for the empirical vector of the Curie-Weiss-Potts model
• Asymptotic behavior of the magnetization near critical and tricritical points via Ginzburg-Landau polynomials
• Multiple critical behavior of probabilistic limit theorems in the neighborhood of a tricritical point
• Analysis of phase transitions in the mean-field Blume-Emery-Griffiths model
• Limit theorems for sums of dependent random variables occurring in statistical mechanics

This page was built for publication: Conditional Gaussian fluctuations and refined asymptotics of the spin in the phase-coexistence region