Journal ArticleDOI
The renormalization group in the theory of critical behavior
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In this paper, the renormalization group approach to the theory of critical behavior is reviewed at an introductory level with emphasis on magnetic systems, including the dependence of critical exponents above Tc on dimensionality d = 4−e.Abstract:
The renormalization group approach to the theory of critical behavior is reviewed at an introductory level with emphasis on magnetic systems. Among recent results reported are the dependence of critical exponents above Tc on dimensionality d=4−e; on the symmetry index or number of spin components, n; on the range and anisotropy of exchange couplings; and on dipolar interactions and lattice anisotropies, in ferro- and antiferromagnets. Calculations of the scaling functions for the equation of state and critical scattering are summarized.read more
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Journal ArticleDOI
Theory of Dynamic Critical Phenomena
TL;DR: The renormalization group theory has been applied to a variety of dynamic critical phenomena, such as the phase separation of a symmetric binary fluid as mentioned in this paper, and it has been shown that it can explain available experimental data at the critical point of pure fluids, and binary mixtures, and at many magnetic phase transitions.
Journal ArticleDOI
Spin glasses: Experimental facts, theoretical concepts, and open questions
Kurt Binder,A. P. Young +1 more
TL;DR: In this article, the most characteristic properties of spin glass systems are described, and related phenomena in other glassy systems (dielectric and orientational glasses) are mentioned, and a review summarizes recent developments in the theory of spin glasses, as well as pertinent experimental data.
Book
Scaling and Renormalization in Statistical Physics
TL;DR: In this article, the authors provide a thoroughly modern graduate-level introduction to the theory of critical behavior, including phase diagrams, fixed points, cross-over behavior, finite-size scaling, perturbative renormalization methods, low-dimensional systems, surface critical behaviour, random systems, percolation, polymer statistics, critical dynamics and conformal symmetry.
Journal ArticleDOI
Critical phenomena and renormalization-group theory
Andrea Pelissetto,Ettore Vicari +1 more
TL;DR: In this paper, the critical behavior of spin systems at equilibrium is studied in three and two dimensions, and the results in three-dimensional space are presented in particular for the six-loop perturbative series for the β -functions.
Journal ArticleDOI
Finite size scaling analysis of Ising model block distribution functions
TL;DR: In this article, the authors studied the distribution function P L ( s ) of the local order parameters in finite blocks of linear dimension L for Ising lattices of dimension d = 2,3 and 4.