Revisiting Kawasaki dynamics in one dimension.

Revisiting Kawasaki dynamics in one dimension.
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一维重温川崎动力学。

DOI:
10.1103/physreve.82.051121
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发表时间:
2010
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
M. D. Grynberg
M. D. Grynberg
中科院分区:
--
文献类型:
--
作者:
M. D. Grynberg

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通过自旋和畴壁表象中演化算符的谱隙,对伊辛链中川崎动力学的临界指数进行了数值计算.在低温制度,后者提供了一个快速的有限尺寸收敛到这些指数,这往往是z = 3.11的瞬间淬火下铁磁耦合,而接近z = 2的antiferro的情况下。自旋表示补充了在较高的温度范围内,动力学仍然保持缓慢的动态指数的评价。
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 ≃ 3.11 for instant quenches under ferromagnetic couplings, while approaching to z ≃ 2 in the antiferro case. The spin representation complements the evaluation of dynamic exponents at higher temperature scales, where the kinetics still remains slow.