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Название: Finite-Size Scaling Study of a First-Order Temperature-Driven Symmetry-Breaking Structural Phase Transition
Авторы: Morris J. R., Gooding R. J.
Аннотация:
We present a study of finite-size effects in a model exhibiting a first-order temperature-driven symmetry-breaking structural phase transition. 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 x 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 as L• diverges.