Effect of randomness on critical behavior of spin models | Zendy

T. C. Lubensky | Zendy; Amanda Harris | Zendy

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Effect of randomness on critical behavior of spin models

Author(s) -

T. C. Lubensky,

Amanda Harris

Publication year - 1975

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.177

H-Index - 75

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.30103

Subject(s) - randomness , ising model , statistical physics , recursion (computer science) , renormalization group , fixed point , critical phenomena , critical exponent , critical point (mathematics) , mathematics , stability (learning theory) , spin (aerodynamics) , physics , phase transition , mathematical physics , computer science , quantum mechanics , mathematical analysis , statistics , thermodynamics , algorithm , machine learning

Renormalization group methods are used to analyze the critical behavior of random Ising models. The Wilson‐Fischer e‐expansion for the recursion relations for n‐component continuous spin models are developed for randomly inhomogeneous systems. In addition to the usual variables for a homogeneous system there appears a variable which in essence describes local fluctuations in Tc. From the structure and stability of the fixed points we conclude that critical exponents are unaffected by randomness for n≳4 but are renormalized by randomness for 1

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