Comments on the critical behavior of random systems

Journal Article · Thu Jan 01 04:00:00 EST 1976 · Phys. Rev., B; (United States)

DOI:https://doi.org/10.1103/PhysRevB.13.466· OSTI ID:7354415

Aharony, A ^[1]; Imry, Y; Ma, S K

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1. Univ. of California, San Diego, La Jolla

The renormalization-group treatment of the critical behavior of random systems is augmented by including all the cumulants of the disorder distribution. The results substantiate Lubensky's argument that the n ..-->.. 0 isotropic fixed point is ''unphysical,'' and that the phase transition of random m-component systems which have a positive specific-heat exponent will be sharp, with exponents determined by the ''random'' fixed point. The renormalization-group transformations of a random Gaussian model lead to a ''runaway'', which is shown to be unrelated to a first-order transition. This is related to the problem of a particle in a random potential with and without an absorptive part. (auth)

• OSTI ID: 7354415
• Journal Information: Phys. Rev., B; (United States), Journal Name: Phys. Rev., B; (United States) Vol. 13:1; ISSN PLRBA
• Country of Publication: United States
• Language: English

Related Subjects

657006* -- Theoretical Physics-- Statistical Physics & Thermodynamics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CRITICAL TEMPERATURE
CRYSTAL MODELS
ISING MODEL
MATHEMATICAL MODELS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
RENORMALIZATION
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE