Paul Raja, Puri Sanjay, Rieger Heiko
Theoretische Physik, Universität des Saarlandes, 66041 Saarbrücken, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jun;71(6 Pt 1):061109. doi: 10.1103/PhysRevE.71.061109. Epub 2005 Jun 30.
We present results from extensive Monte Carlo (MC) simulations of domain growth in ferromagnets and binary mixtures with quenched disorder. These are modeled by the random-bond Ising model and the dilute Ising model with either nonconserved (Glauber) spin-flip kinetics or conserved (Kawasaki) spin-exchange kinetics. In all cases, our MC results are consistent with power-law growth with an exponent theta(T, epsilon) which depends on the quench temperature T and the disorder amplitude epsilon. Such exponents arise naturally when the coarsening domains are trapped by energy barriers that grow logarithmically with the domain size. Our MC results show excellent agreement with the predicted dependence of theta(T, epsilon).
我们展示了对具有淬火无序的铁磁体和二元混合物中畴生长进行广泛蒙特卡罗（MC）模拟的结果。这些通过具有非守恒（格劳伯）自旋翻转动力学或守恒（川崎）自旋交换动力学的随机键伊辛模型和稀释伊辛模型进行建模。在所有情况下，我们的MC结果都与幂律生长一致，其指数θ(T, ε)取决于淬火温度T和无序幅度ε。当粗化畴被随畴尺寸对数增长的能量势垒捕获时，这样的指数自然出现。我们的MC结果与预测的θ(T, ε)依赖性显示出极好的一致性。
