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Effect of Random Impurities on Fluctuation-Driven First Order Transitions

Abstract:

We analyse the effect of quenched uncorrelated randomness coupling to the local energy density of a model consisting of N coupled two-dimensional Ising models. For N>2 the pure model exhibits a fluctuation-driven first order transition, characterised by runaway renormalisation group behaviour. We show that the addition of weak randomness acts to stabilise these flows, in such a way that the trajectories ultimately flow back towards the pure decoupled Ising fixed point, with the usual criti...

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Publication status:
Published

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Publisher copy:
10.1088/0305-4470/29/9/006

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Role:
Author
Journal:
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume:
29
Issue:
9
Pages:
1897-1904
Publication date:
1995-11-23
DOI:
EISSN:
1361-6447
ISSN:
0305-4470
URN:
uuid:eb37d87e-7734-4bc3-aca7-cb6c4c282104
Source identifiers:
240769
Local pid:
pubs:240769
Keywords:

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