Download Communications in Mathematical Physics - Volume 238 by M. Aizenman (Chief Editor) PDF

By M. Aizenman (Chief Editor)

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Extra resources for Communications in Mathematical Physics - Volume 238

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54 54 55 56 57 60 61 61 64 65 68 c Copyright rests with the authors. Reproduction of the entire article for non-commercial purposes is permitted without charge. 1 Convexity estimates . . . . . . . . . 2 Infrared bound . . . . . . . . . . 3 Proof of Main Theorem . . . . . . . . 4. Proofs of Results for Specific Models . . . . . 1 General considerations . . . . . .

3 Cubic model . . . . . . . . . . . 4 Nematic model . . . . . . . . . . 5. Mean-Field Theory and Complete-Graph Models . . M. Biskup, L. Chayes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 71 74 76 76 76 77 78 79 82 84 90 1. 1. Motivation and outline. Mean-field theory has traditionally played a seminal role for qualitative understanding of phase transitions.

54 54 55 56 57 60 61 61 64 65 68 c Copyright rests with the authors. Reproduction of the entire article for non-commercial purposes is permitted without charge. 1 Convexity estimates . . . . . . . . . 2 Infrared bound . . . . . . . . . . 3 Proof of Main Theorem . . . . . . . . 4. Proofs of Results for Specific Models . . . . . 1 General considerations . . . . . . .

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