Revisiting Kawasaki dynamics in one dimension

Abstract

Critical exponents of the Kawasaki dynamics in the Ising chain are re-examined numerically through the spectrum gap of evolution operators constructed both in spin and domain wall representations. At low temperature regimes the latter provides a rapid finite-size convergence to these exponents, which tend to $z\simeq 3.11$ for instant quenches under ferromagnetic couplings, while approaching to $z\simeq 2$ in the antiferro case. The spin representation complements the evaluation of dynamic exponents at higher temperature scales, where the kinetics still remains slow.

11 pages, 8 figures

References in corpus (1)

• Directed diffusion of reconstituting dimers