Glauber dynamics under weak competing interactions

M. D. GRYNBERG

San Carlos de Bariloche

Congreso; XIV Congreso Regional de Física Estadística y Aplicaciones a la Materia Condensada; 2016

Gerencia Física - Centro Atómico Bariloche - Instituto Balseiro - CONICET

We consider low but nonzero temperature regimes of the Glauber dynamics in a chain of Ising spins with first and second neighbor interactions J1, J2. For 0 < -J2/ | J1 | < 1 it is known that at T = 0 the dynamics is non-coarsening. However based on finite-size scaling analyses of relaxation times, we argue that in the limit of T = 0+ the asymptotic kinetics of small or weakly frustrated -J2/ | J1 |  ratios is characterized by an almost ballistic dynamic exponent z = 1.03(2) and arbitrarily slow velocities of growth. By contrast, for non-competing interactions the coarsening length scales are estimated to be slightly subdiffusive.