Phase Diagrams of Mixtures and Magnetic Systems

  • D. P. Landau
Part of the Topics in Current Physics book series (TCPHY, volume 7)

Abstract

During the past several decades extensive experimental studies of phase transitions in magnetic materials, binary alloys, ferroelectrics, liquid crystals, and other condensed matter systems have yielded detailed information concerning phase diagrams and critical behavior which can be compared and contrasted with those in classical liquid-gas systems. Many of these physical systems are well approximated by lattice models which are relatively simple yet are not exactly soluble by present theoretical methods. In many such cases Monte Carlo computer simulations provide the most useful and accurate estimates of the location of phase boundaries as well as critical and multicritical exponents. In this chapter we shall concentrate on the use of the Monte Carlo method to study the static, bulk properties of these models (dynamic behavior will be considered in Chap.6 and surface effects in Chap.9). In the following discussion the application of the Monte Carlo method to the study of “ordinary” phase transition will be presented in Sect.3.1 and to multicritical phenomena in Sect.3.2. In Sect.3.3 we shall consider a range of “miscellaneous” systems, and conclusions and the outlook for the future will be in Sect.3.4.

Keywords

Entropy Vortex Migration Anisotropy Manganese 

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  • D. P. Landau

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