摘要翻译:
我们数值研究了具有两自旋和四自旋混合相互作用的Ising模型在从高温相到一级相变点的突然猝灭后的非平衡动力学行为。在过渡点m_c处,自相关函数接近于由有序相磁化强度所给出的极限值。另一方面,从与磁化强度不相关的初始态m_i开始,磁化强度的弛豫在m_i>0.5时接近m_c,在m_i<0.5时接近零。对于较小的m_i和m_i略大于0.5时,磁化强度的弛豫随时间呈渐近幂律关系,因此从非平衡点的角度看,跃迁是连续的。
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英文标题:
《Nonequilibrium critical relaxation at a first-order phase transition
point》
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作者:
Michel Pleimling and Ferenc Igloi
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
We study numerically the nonequilibrium dynamical behavior of an Ising model with mixed two-spin and four-spin interactions after a sudden quench from the high-temperature phase to the first-order phase transition point. The autocorrelation function is shown to approach its limiting value, given by the magnetization in the ordered phase at the transition point, m_c, through a stretched exponential decay. On the other hand relaxation of the magnetization starting with an uncorrelated initial state with magnetization, m_i, approaches either m_c, for m_i>0.5, or zero, for m_i<0.5. For small m_i and for m_i slightly larger than 0.5 the relaxation of the magnetization shows an asymptotic power-law time dependence, thus from a nonequilibrium point of view the transition is continuous.
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PDF链接:
https://arxiv.org/pdf/705.2142