Evidences of the Instability Fixed Points of First-Order Phase Transitions |
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Authors: | Shuangli Fan Fan Zhong |
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Affiliation: | 1.State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics and Engineering,Sun Yat-sen University,Guangzhou,People’s Republic of China;2.School of Physics and Information Technology,Shaanxi Normal University,Xi’an,People’s Republic of China |
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Abstract: | We study the dynamics of the first-order phase transitions in the two-dimensional Potts model driven by a linearly varying temperature using a finite-time scaling with extended dynamic Monte Carlo renormalization group method. It is found that, for sufficiently large lattice sizes, the flows of apparent exponents of different temperature sweep rates upon renormalization show characteristics that are markedly distinct from those of continuous transitions and are argued to result from the instability fixed points involved and provide a method for estimating the associated instability exponents. |
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