Dynamical TAP equations for non-equilibrium Ising spin glasses

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.

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.

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

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

M3 - Journal article

SN - 1742-5468

VL - 2011

SP - P03031

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

IS - 3

ER -