Scaling, polymers and spins

  • Neal Madras
  • Gordon Slade
Part of the Modern Birkhäuser Classics book series (MBC)


This chapter is concerned with some of the nonrigorous work on the selfavoiding walk: the scaling theory which leads to the scaling relations stated in Section 1.4, the connection with polymers and the derivation of the Flory values for the critical exponent v, and finally, the interpretation of the selfavoiding walk as a "zero-component" ferromagnet.


Partition Function Random Walk Correlation Length Ising Model Critical Exponent 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Neal Madras
    • 1
  • Gordon Slade
    • 2
  1. 1.Department of Mathematics and StatisticsYork UniversityTorontoCanada
  2. 2.Department of MathematicsThe University of British ColumbiaVancouverCanada

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