On Spin Distributions for Generic p-Spin Models

Antonio Auffinger; Aukosh Jagannath

doi:10.1007/s10955-018-2188-5

On Spin Distributions for Generic p-Spin Models

Antonio Auffinger, Aukosh Jagannath^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We provide an alternative formula for spin distributions of generic p-spin glass models. As a main application of this expression, we write spin statistics as solutions of partial differential equations and we show that the generic p-spin models satisfy multiscale Thouless–Anderson–Palmer equations as originally predicted in the work of Mézard–Virasoro (J Phys 46(8):1293–1307, 1985).

Original language	English (US)
Pages (from-to)	316-332
Number of pages	17
Journal	Journal of Statistical Physics
Volume	174
Issue number	2
DOIs	https://doi.org/10.1007/s10955-018-2188-5
State	Published - Jan 30 2019

Keywords

Cavity equations
Spin glasses
Thouless–Anderson–Palmer equations

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s10955-018-2188-5

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title = "On Spin Distributions for Generic p-Spin Models",

abstract = "We provide an alternative formula for spin distributions of generic p-spin glass models. As a main application of this expression, we write spin statistics as solutions of partial differential equations and we show that the generic p-spin models satisfy multiscale Thouless–Anderson–Palmer equations as originally predicted in the work of M{\'e}zard–Virasoro (J Phys 46(8):1293–1307, 1985).",

keywords = "Cavity equations, Spin glasses, Thouless–Anderson–Palmer equations",

author = "Antonio Auffinger and Aukosh Jagannath",

note = "Funding Information: Acknowledgements The authors would like to thank Louis-Pierre Arguin, G{\'e}rard Ben Arous, Dmitry Panchenko, and Ian Tobasco for helpful discussions. This research was conducted while A.A. was supported by NSF DMS-1597864 and NSF Grant CAREER DMS-1653552 and A.J. was supported by NSF OISE-1604232. Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media, LLC, part of Springer Nature.",

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AU - Jagannath, Aukosh

N1 - Funding Information: Acknowledgements The authors would like to thank Louis-Pierre Arguin, Gérard Ben Arous, Dmitry Panchenko, and Ian Tobasco for helpful discussions. This research was conducted while A.A. was supported by NSF DMS-1597864 and NSF Grant CAREER DMS-1653552 and A.J. was supported by NSF OISE-1604232. Publisher Copyright: © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

PY - 2019/1/30

Y1 - 2019/1/30

N2 - We provide an alternative formula for spin distributions of generic p-spin glass models. As a main application of this expression, we write spin statistics as solutions of partial differential equations and we show that the generic p-spin models satisfy multiscale Thouless–Anderson–Palmer equations as originally predicted in the work of Mézard–Virasoro (J Phys 46(8):1293–1307, 1985).

AB - We provide an alternative formula for spin distributions of generic p-spin glass models. As a main application of this expression, we write spin statistics as solutions of partial differential equations and we show that the generic p-spin models satisfy multiscale Thouless–Anderson–Palmer equations as originally predicted in the work of Mézard–Virasoro (J Phys 46(8):1293–1307, 1985).

KW - Cavity equations

KW - Spin glasses

KW - Thouless–Anderson–Palmer equations

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On Spin Distributions for Generic p-Spin Models

Abstract

Keywords

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