Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
نویسندگان
چکیده
منابع مشابه
The Renormalization Group and Critical Phenomena
1. Introduction This paper has three parts. The first part is a simplified presentation of the basic ideas of the renormalization group and the ε expansion applied to critical phenomena , following roughly a summary exposition given in 1972 1. The second part is an account of the history (as I remember it) of work leading up to the papers in I971-1972 on the renormalization group. Finally, some...
متن کاملCritical Phenomena and Renormalization-Group Theory
We review results concerning the critical behavior of spin systems at equilibrium. We consider the Ising and the general O(N)-symmetric universality class. For each of them, we review the estimates of the critical exponents, of the equation of state, of several amplitude ratios, and of the two-point function of the order parameter. We report results in three and two dimensions. We discuss the c...
متن کاملCritical Phenomena in the Dyson Hierarchical Model and Renormalization Group
We review some results on the critical phenomena in the Dyson hierarchical model and renormalization group.
متن کاملCritical Phenomena: Landau Theory and the Renormalization Group Method
We first discuss a phenomenological mean-field theory of phase transitions due to Landau and introduce the ideas of universality and scaling near critical points. The breakdown of mean-field theory near a critical point leads us to introduce the renormalization group method, which has had a major impact on our understanding of phase transitions, quantum field theory, and turbulence. We introduc...
متن کاملThe effective potential , critical point scaling and the renormalization group
The desirability of evaluating the effective potential in field theories near a phase transition has been recognized in a number of different areas. We show that recent Monte Carlo simulations for the probability distribution for the order parameter in an equilibrium Ising system, when combined with loworder renormalization group results for an ordinary φ4 system, can be used to extract the eff...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 1971
ISSN: 0556-2805
DOI: 10.1103/physrevb.4.3174