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 (6)

• Theory of Phase Ordering Kinetics
• Universality classes in nonequilibrium lattice systems
• Conservation Laws and Integrability of a One-dimensional Model of Diffusing Dimers
• Metastable states of the Ising chain with Kawasaki dynamics
• Directed diffusion of reconstituting dimers
• Anomalous self-diffusion in the ferromagnetic Ising chain with Kawasaki dynamics

Cited by in corpus (5)

• Gapless quantum spin chains: multiple dynamics and conformal wavefunctions
• Quantum spin chains with multiple dynamics
• Emergent tracer dynamics in constrained quantum systems
• Simulations of driven and reconstituting lattice gases
• Non-universal disordered Glauber dynamics