Renormalization-group theory of first-order phase transition dynamics in field-driven scalar model

doi:10.1007/s11467-016-0632-z

Front. Phys.

2017, Vol. 12

Issue (5) : 126402 https://doi.org/10.1007/s11467-016-0632-z

RESEARCH ARTICLE

Renormalization-group theory of first-order phase transition dynamics in field-driven scalar model

Fan Zhong(

)

State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics, Sun Yat-sen University, Guangzhou 510275, China

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Abstract

Through a detailed study of the mean-field approximation, the Gaussian approximation, the perturbation expansion, and the field-theoretic renormalization-group analysis of a φ³ theory, we show that the instability fixed points of the theory, together with their associated instability exponents, are quite probably relevant to the scaling and universality behavior exhibited by the first-order phase transitions in a field-driven scalar φ⁴ model, below its critical temperature and near the instability points. Finitetime scaling and leading corrections to the scaling are considered. We also show that the instability exponents of the first-order phase transitions are equivalent to those of the Yang–Lee edge singularity, and employ the latter to improve our estimates of the former. The outcomes agree well with existing numerical results.

Keywords first-order phase transitions renormalization group theory φ³ theory scaling and universality instability exponents Yang–Lee edge singularity finite-time scaling corrections to scaling scalar model dynamics hysteresis

Corresponding Author(s): Fan Zhong

Issue Date: 03 January 2017

Cite this article:

Fan Zhong. Renormalization-group theory of first-order phase transition dynamics in field-driven scalar model[J]. Front. Phys. , 2017, 12(5): 126402.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-016-0632-z
https://academic.hep.com.cn/fop/EN/Y2017/V12/I5/126402

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