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Random walks: A pedestrian approach to polymers, critical phenomena, and field theory

 

作者: E. P. Raposo,   S. M. de Oliveira,   A. M. Nemirovsky,   M. D. Coutinho‐Filho,  

 

期刊: American Journal of Physics  （AIP Available online 1991）
卷期: Volume 59, issue 7  

页码: 633-645

 

ISSN:0002-9505

 

年代: 1991

 

DOI:10.1119/1.16785

 

出版商: American Association of Physics Teachers

 

关键词: RANDOM WALK;CRITICAL PHENOMENA;POLYMERS;RENORMALIZATION GROUP METHOD;FIELD THEORIES;SCALING LAWS;MACROMOLECULES;ENTROPY;STATISTICAL MECHANICS

 

数据来源: AIP

 

摘要:

Main concepts in critical phenomena such as universality, critical dimension, analogies with the statistics of polymers and scaling theory, together with renormalization group ideas and rudimentary methods in field theory are presented through the simple and intuitive properties of random walks. This work, which requires little previous knowledge of mathematics besides elementary calculus, has served as the basis of a program to introduce undergraduate students to research in theoretical physics.

 

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