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Mean‐field theories

Hidetoshi Nishimori and Gerardo Ortiz

in Elements of Phase Transitions and Critical Phenomena

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199577224
eISBN:
9780191722943
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577224.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The present chapter explains the mean-field approximation, the Landau theory, the infinite-range model, and the Bethe approximation, and shows that all these (mean-field) theories are essentially ... More


Corrections to Scaling Behaviour

JEAN ZINN-JUSTIN

in Quantum Field Theory and Critical Phenomena

Published in print:
2002
Published Online:
January 2010
ISBN:
9780198509233
eISBN:
9780191708732
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509233.003.0027
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter examines corrections to scaling behaviour. It considers generic dimensions, logarithmic corrections at the upper-critical dimension, and corrections coming from irrelevant operations. It ... More


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