Finite-size scaling study of a first-order temperature-driven symmetry-breaking structural phase transition |
| |
Authors: | J. R. Morris R. J. Gooding |
| |
Affiliation: | (1) Laboratory of Atomic and Solid State Physics, Cornell University, 14853-2501 Ithaca, New York;(2) Department of Physics, Queen's University, K7L 3N6 Kingston, Ontario, Canada |
| |
Abstract: | We present a study of finite-size effects in a model exhibiting a first-order temperature-driven symmetry-breaking structural phase transition in theL × cylindrical geometry in theL![bottom](/content/p48727v6n9g77575/xxlarge8869.gif) ![rarr](/content/p48727v6n9g77575/xxlarge8594.gif) limit. Exact studies demonstrate the applicability of our scaling ansatz even in the one-dimensional limit, making this model ideal for studying finite-size effects. The scaling ansatz, similar to the previously developed ansatz for field-driven transitions, demonstrates that latent heat is crucial in driving these transitions. This ansatz is supported by a 2×2 phenomenological transfer matrix based upon the symmetries of the system; this produces an analytic free energy which has the scaling form. Order parameter probability distributions show that the high- and low-temperature phases coexist only in a small finite-size-affected regime near the bulk transition temperature; this regime vanishes exponentially fast asL diverges. |
| |
Keywords: | First-order transitions finite-size effects coexistence structural phase transition |
本文献已被 SpringerLink 等数据库收录! |
|