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以蒙特卡罗模拟方法对自对耦分布二维随机链q态Potts模型的短时临界行为进行了数值研究.利用初始非平衡演化阶段存在的普适幂指数和有限体积标度行为,数值模拟了在不同形式随机分布时q=3和q=8态Potts模型磁临界指数η和动力学临界指数z.计算结果发现η不依赖于自对偶无序分布的具体形式, 从而以数值方法给出了一个关于淬火掺杂自旋系统的临界普适行为的验证.
关键词:
随机链Potts模型
动力学蒙特卡罗模拟
临界普适性 相似文献
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本文提出了一种关于一维和二维量子自旋系统的Monte Carlo模拟新算法。具体给出了对于一维和二维Heisenberg模型的计算方案。在s=1/2的铁磁和反铁磁链情况下的计算结果证实了此方法有效地克服了“临界慢化(CSD)”效应和能够达到更低的温度区域进行计算。该方法可推广到各向异性和高自旋(s=1,3/2,…)量子系统、二维经典8-顶角格点模型和低维费密系统。
关键词: 相似文献
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We study the motion of a spiral wave controlled by a local periodic forcing imposed on a region around the spiral tip in an excitable medium. Three types of trajectories of spiral tip are observed: the epicycloid-like meandering, the resonant drift, and the hypocycloid-like meandering. The frequency of the spiral is sensitive to the local periodic forcing. The dependency of spiral frequency on the amplitude and size of local periodic forcing are presented. In addition, we show how the drift speed and direction are adjusted by the amplitude and phase of local periodic forcing, which is consistent with a theoretical analysis based on the weak deformation approximation. 相似文献
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We numerically calculate the topological charge of the gauge configurations on a finite lattice by the fermionic method with overlap fermions. By using the lattice index theorem, we identify the index of the massless overlap fermion operator to the topological charge of the background gauge configuration. The resulting topological susceptibility χ is in good agreement with the anticipation made by Witten and Veneziano. 相似文献
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利用一种有效的Monte Carlo簇团迭代方法进行了关于二维反铁磁Heisenberg量子模型的数值研究。比较手征微扰理论的有关解析结果,在有限温度和有限体积下精确地确定了该系统的重要低能参数:基态能量密度eo=-0.6693(1)J/a2,参差磁化强度Ms=0.3076(4)/a2,自旋波速度?c=1.68(1)Ja和自旋块度(spin stiffness)ρs=0.185(5)J。计算结果与
关键词: 相似文献
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Depending on the excitability of the medium, a propagating wave segment will either contract or expand to fill the medium with spiral waves. This paper aims to introduce a simple mechanism of feedback control to stabilize such an expansion or contraction. To do this, we lay out a feedback control system in a block diagram and reduce it into a bare, universal formula. Analytical and experimental findings are compared through a series of numerical simulations of the Barkley model. 相似文献
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应用一种有效的族团迭方法,我们在具有Ih对称性点阵上作了关于Ising自旋相互作用系统的MonteCarlo模拟,热力学量的模拟讲师结果显示,在β=0.64温度点上系统的磁化率和比热存在一个明显的峰,表征出系统的磁有序性开始消失,该结果与高温组数展开的解析计算的结果一致。 相似文献