We study the nonequilibrium dynamics (purely dissipative and relaxational) in a semi-infinite system following a quench from the high temperature disordered phase to its critical temperature. We show that the local autocorrelation near the surface of a semi-infinite system decays algebraically in time with a new exponent which is different from the bulk. We calculate this new nonequilibrium surface exponent in several cases, both analytically and numerically.
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Majumdar et al. (1996) studied this question.
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