Cooling dynamics of pure and random Ising chains

Details Cooling dynamics of pure and random Ising chains Cooling dynamics of pure and random Ising chains

2008-07-18

arxiv.org/abs/0807.2933v2

J. Stat. Mech. P03032 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages and 2 figures, published version

Scientific paper

10.1088/1742-5468/2009/03/P03032

Dynamics of quenching temperature is studied in pure and random Ising chains. Using the Kibble-Zurek argument, we obtain for the pure Ising model that the density of kinks after quenching decays as 1/\sqrt{\tau} with the quench rate of temperature 1/\tau for large \tau. For the random Ising model, we show that decay rates of the density of kinks and the residual energy are 1/\ln\tau and 1/(\ln\tau)^2 for large \tau respectively. Analytic results for the random Ising model are confirmed by the Monte-Carlo simulation. Our results reveal a clear difference between classical and quantum quenches in the random Ising chain.

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