Dynamical TAP equations for non-equilibrium Ising spin glasses

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Dynamical TAP equations for non-equilibrium Ising spin glasses. / Roudi, Yasser; Hertz, John.

In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2011, No. 3, 31.03.2011, p. P03031.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Roudi, Y & Hertz, J 2011, 'Dynamical TAP equations for non-equilibrium Ising spin glasses', Journal of Statistical Mechanics: Theory and Experiment, vol. 2011, no. 3, pp. P03031. https://doi.org/10.1088/1742-5468/2011/03/P03031

APA

Roudi, Y., & Hertz, J. (2011). Dynamical TAP equations for non-equilibrium Ising spin glasses. Journal of Statistical Mechanics: Theory and Experiment, 2011(3), P03031. https://doi.org/10.1088/1742-5468/2011/03/P03031

Vancouver

Roudi Y, Hertz J. Dynamical TAP equations for non-equilibrium Ising spin glasses. Journal of Statistical Mechanics: Theory and Experiment. 2011 Mar 31;2011(3):P03031. https://doi.org/10.1088/1742-5468/2011/03/P03031

Author

Roudi, Yasser ; Hertz, John. / Dynamical TAP equations for non-equilibrium Ising spin glasses. In: Journal of Statistical Mechanics: Theory and Experiment. 2011 ; Vol. 2011, No. 3. pp. P03031.

Bibtex

@article{c0f518d586034548b28a65180fae2050,
title = "Dynamical TAP equations for non-equilibrium Ising spin glasses",
abstract = "We derive and study dynamical TAP equations for Ising spin glasses obeying both synchronous and asynchronous dynamics using a generating functional approach. The system can have an asymmetric coupling matrix, and the external fields can be time-dependent. In the synchronously updated model, the TAP equations take the form of self consistent equations for magnetizations at time t+1, given the magnetizations at time t. In the asynchronously updated model, the TAP equations determine the time derivatives of the magnetizations at each time, again via self consistent equations, given the current values of the magnetizations. Numerical simulations suggest that the TAP equations become exact for large systems.",
author = "Yasser Roudi and John Hertz",
year = "2011",
month = mar,
day = "31",
doi = "10.1088/1742-5468/2011/03/P03031",
language = "English",
volume = "2011",
pages = "P03031",
journal = "Journal of Statistical Mechanics: Theory and Experiment",
issn = "1742-5468",
publisher = "Institute of Physics Publishing Ltd",
number = "3",

}

RIS

TY - JOUR

T1 - Dynamical TAP equations for non-equilibrium Ising spin glasses

AU - Roudi, Yasser

AU - Hertz, John

PY - 2011/3/31

Y1 - 2011/3/31

N2 - We derive and study dynamical TAP equations for Ising spin glasses obeying both synchronous and asynchronous dynamics using a generating functional approach. The system can have an asymmetric coupling matrix, and the external fields can be time-dependent. In the synchronously updated model, the TAP equations take the form of self consistent equations for magnetizations at time t+1, given the magnetizations at time t. In the asynchronously updated model, the TAP equations determine the time derivatives of the magnetizations at each time, again via self consistent equations, given the current values of the magnetizations. Numerical simulations suggest that the TAP equations become exact for large systems.

AB - We derive and study dynamical TAP equations for Ising spin glasses obeying both synchronous and asynchronous dynamics using a generating functional approach. The system can have an asymmetric coupling matrix, and the external fields can be time-dependent. In the synchronously updated model, the TAP equations take the form of self consistent equations for magnetizations at time t+1, given the magnetizations at time t. In the asynchronously updated model, the TAP equations determine the time derivatives of the magnetizations at each time, again via self consistent equations, given the current values of the magnetizations. Numerical simulations suggest that the TAP equations become exact for large systems.

U2 - 10.1088/1742-5468/2011/03/P03031

DO - 10.1088/1742-5468/2011/03/P03031

M3 - Journal article

VL - 2011

SP - P03031

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

IS - 3

ER -

ID: 37388372