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
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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