Statisical Mechanical Theory of Cooperative Phenomena.-1-General Theory of Fluctuations, Coherent Anomalies and Scaling Exponents with Simple Applications to Critical Phenomena

DOI Web Site Web Site BIBCODE 被引用文献45件 参考文献36件
  • Suzuki Masuo
    Department of Physics, Faculty of Science, University of Tokyo

書誌事項

タイトル別名
  • Statistical Mechanical Theory of Cooperative Phenomena.I. General Theory of Fluctuations, Coherent Anomalies and Scaling Exponents with Simple Applications to Critical Phenomena
  • Statisical Mechanical Theory of Coopera

この論文をさがす

説明

A general method is proposed to study non-classical scaling behaviors of cooperative systems. This is based on the appearance of a “coherent anomaly” in mean-field-type or classical approximations of cooperative systems. The degree of approximation is analytically continued to construct a parameterized expression of a whole set of approximations, using Kubo’s linear response theory. General relations between scaling (or critical) exponents and “coherent-anomaly exponents” are derived using the theory of envelope and are also obtained from a finite-degree-of-approximation scaling, which is inspired by Fisher’s finite-size scaling. The present coherent-anomaly method (CAM) is promising for calculating analytically non-classical scaling exponents in cooperative phenomena. A general scheme of CAM in critical phenomena is presented. It is shown that even the combination of the Weiss and Bethe approximations gives rather good estimates of static and dynamic critical exponents.

収録刊行物

被引用文献 (45)*注記

もっと見る

参考文献 (36)*注記

もっと見る

詳細情報 詳細情報について

問題の指摘

ページトップへ