Chaos in Temperature in Generic 2p-Spin Models

We prove chaos in temperature for even p -spin models which include sufficiently many p -spin interaction terms. Our approach is based on a new invariance property for coupled asymptotic Gibbs measures, similar in spirit to the invariance property that appeared in the proof of ultrametricity in Panc...

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Bibliographic Details
Published inCommunications in mathematical physics Vol. 346; no. 2; pp. 703 - 739
Main Author Panchenko, Dmitry
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2016
Subjects
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
Gibbs Measure
Spin Glass
Invariance Property
Couple System
Random Measure
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Summary:We prove chaos in temperature for even p -spin models which include sufficiently many p -spin interaction terms. Our approach is based on a new invariance property for coupled asymptotic Gibbs measures, similar in spirit to the invariance property that appeared in the proof of ultrametricity in Panchenko (Ann Math (2) 177(1):383–393, 2013 ), used in combination with Talagrand’s analogue of Guerra’s replica symmetry breaking bound for coupled systems.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-016-2585-z