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arXiv 2202.01528cond-mat.stat-mech
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从一阶到二阶相变转变及d=2,3维q态Potts模型的潜热:一种简单Migdal-Kadanoff改编方法

First-Order to Second-Order Phase Transition Changeover and Latent Heats of q-State Potts Models in d=2,3 from a Simple Migdal-Kadanoff Adaptation

H. Yagiz Devre, A. Nihat Berker

AI总结:

本文通过简单改编Migdal-Kadanoff方法,确定了q态Potts模型在d=2,3维中一阶到二阶相变转变点,并计算了潜热,相变温度较精确自对偶和蒙特卡洛结果显著改善。

摘要:

利用Migdal-Kadanoff重正化群变换的一种物理直觉简单的改编,在空间维度d=3时q_c=2处,以及在d=2时基本在q_c=4处,获得了q态Potts模型中从一阶到二阶相变的转变。这一简单过程产生了一阶相变时的潜热。在d=2和d=3两种情况下,计算得到的相变温度分别与精确自对偶和蒙特卡洛结果相比,均有显著改善。

英文摘要:

The changeover from first-order to second-order phase transitions in q-state Potts models is obtained at q_c=2 in spatial dimension d=3 and essentially at q_c=4 in d=2, using a physically intuited simple adaptation of the Migdal-Kadanoff renormalization-group transformation. This simple procedure yields the latent heats at the first-order phase transitions. In both d=2 and 3, the calculated phase transition temperatures, respectively compared with the exact self-duality and Monte Carlo results, are dramatically improved.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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