Metastable and scaling regimes of a one dimensional Kawasaki dynamics

F. A. GÓMEZ ALBARRACÍN; H. D. ROSALES; M. D. GRYNBERG

Trieste

Conferencia; Conference on Frustration, Disorder and Localization: Statics and Dynamics; 2015

The Abdus Salam International Centre of Theoretical Physics

Conservative dynamics have been extensively studied in the context of phase separation near critical points. In particular, in 1D the low but nonzero temperature Kawasaki dynamics of ferromagnetic Ising chains is known to be dominated by metastable states. These are ultimately responsible for typical domain sizes growing in time as t^{1/3} (z = 3). In this work we consider the asymptotic effects brought about by different metastable structures arising from the inclusion of second neighbor couplings in this 1D model. Several situations with a variety of activation barriers and metastable proliferations are identified, eventually in some cases leading to different scaling asymptotic regimes depending on the coupling ratios. Dynamic exponents (z) are obtained by finite-size scaling analyses of relaxation times, in turn calculated via exact diagonalizations of the evolution operator in finite chains. We present results both for ferromagnetic and antiferromagnetic couplings, and discuss whether frustration plays a significant role. Comparisons with the Glauber dynamics under weak competing interactions are also presented.