摘要
Through a detailed study of the mean-field approximation, the Gaussian approximation, the perturbation expansion, and the field-theoretic renormalization-group analysis of a φ^3 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 Ca model, below its critical temperature and near the instability points. Finite- time 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.
Through a detailed study of the mean-field approximation, the Gaussian approximation, the perturbation expansion, and the field-theoretic renormalization-group analysis of a φ^3 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 Ca model, below its critical temperature and near the instability points. Finite- time 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.
基金
Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant No. 10625420）.
关键词
first-order
phase
transitions
renormalization
group
theory
φ^3
theory
scaling
and
universality
instability
exponents
Yang-Lee
edge
singularity
finite-time
scaling
corrections
to
scaling
scalar
model
DYNAMICS
hysteresis
first-order phase transitions, renormalization group theory, φ^3 theory, scaling and universality, instability exponents, Yang-Lee edge singularity, finite-time scaling, corrections to scaling, scalar model, dynamics, hysteresis
