Revisiting Kawasaki dynamics in one dimension

Details Revisiting Kawasaki dynamics in one dimension Revisiting Kawasaki dynamics in one dimension

2010-09-23

arxiv.org/abs/1009.4511v1

Phys. Rev. E 82, 051121 (2010)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 8 figures

Scientific paper

10.1103/PhysRevE.82.051121

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.

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