Evidence for Fisher Renormalization in the CompressibleModel
- 10 April 2008
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 100 (14), 140602
- https://doi.org/10.1103/physrevlett.100.140602
Abstract
We present novel Fourier Monte Carlo simulations of a compressible phi4-model on a simple-cubic lattice with linear-quadratic coupling of order parameter and strain, focusing on the detection of fluctuation-induced first-order transitions and deviations from standard critical behavior. The former is indeed observed in the constant stress ensemble and for auxetic systems at constant strain, while for regular isotropic systems at constant strain, we find strong evidence for Fisher-renormalized critical behavior and are led to predict the existence of a tricritical point.This publication has 27 references indexed in Scilit:
- Critical behavior of an elastic Ising antiferromagnet at constant pressurePhysical Review B, 2005
- Critical behavior of the three-dimensional compressible Ising antiferromagnet at constant volume: A Monte Carlo studyPhysical Review B, 2005
- Phase diagram and structural properties for a compressible Ising ferromagnet at constant volumePhysical Review B, 2004
- Compressible metamagnetic Ising model: Mean-field Curie-Weiss approach and Landau expansionPhysical Review B, 2002
- Monte Carlo simulations of the pseudospin model of RbSCNJournal of Physics: Condensed Matter, 1999
- Phase diagram and critical behavior of the Si-Ge unmixing transition: A Monte Carlo study of a model with elastic degrees of freedomPhysical Review B, 1993
- Elastic anomalies in compressible Ising modelsPhysics Letters A, 1979
- Critical behaviour of a compressible random Ising modelPhysics Letters A, 1978
- Specific Heats of Compressible Lattices and the Theory of MeltingThe Journal of Chemical Physics, 1956
- Thermodynamics of Phase Transitions in Compressible Solid LatticesThe Journal of Chemical Physics, 1954