Metastable and scaling regimes of a one-dimensional Kawasaki dynamics

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

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Lugar: New York; Año: 2016

1539-3755

We investigate the large-time scaling regimes arising from a variety of metastable structures in a chain of Ising spins with both first- and second-neighbor couplings while subject to a Kawasaki dynamics. Depending on the ratio and sign of these former, different dynamic exponents are suggested by finite-size scaling analyses of relaxation times. At low but nonzero-temperatures these are calculated via exact diagonalizations of the evolution operator in finite chains under several activation barriers. In the absence of metastability the dynamics is always diffusive.