Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/9911193 · The European Physical Journal B

The short-time critical behaviour of the Ginzburg-Landau model with long-range interaction

Y. Chen, Shuo-Hong Guo, Zhibing Li, S. Mârculescu, Lothar Schülke

Published Nov 1, 2000• 15 citations
arXivHTMLPDF
DOI
10.1007/s100510070060

Related papers

Critical behaviour of isotropic spin systems with long- and short-range interactions

Y. Yamazaki

Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fields•Jan 1, 1980•6 citations

Short-Time Critical Behavior Affected by Weakly Long-Range Interactions

Yuan Chen, Guo Shuohong, Zhibing Li

The theoretic renormalization group approach is applied to the study of short-time critical behavior of the Ginzburg–Landau model with weakly long-range interactions . The system initially at a high temperature is firstly quenched to the critical temperature and then released to an evolution with a model A dynamics. A double expansion in and with of order is employed, where is the spatial dimension. The asymptotic scaling laws and the initial slip exponents and for the order parameter and the response function respectively are calculated to the second order in for close to 2.

Communications in Theoretical Physics•Apr 15, 2001•3 citations

The Landau–Wilson model for critical phenomena

C. Di Castro, Roberto Raimondi

Cambridge University Press eBooks•Aug 27, 2015•0 citations

Short—Time Critical Behavior Affected by Weakly Long—Range Interactions

CHENYuan, LIZhi-Bing

The theoretic renormalization group approach is applied to the study of short-time critical behavior of the Ginzburg-Landau model with weakly long-range interactions pσsps-p. The system initially at a high temperature is firstly quenched to the critical temperature Tc and then released to an evolution with a model A dynamics. A double expansion in ∈ = 2σ-d and α = 1 -σ/2 with α of order ∈ is employed, where d is the spatial dimension. The asymptotic scaling laws and the initial slip exponents θ' and θ for the order parameter and the response function respectively are calculated to the second order in ∈ for σ close to 2.

理论物理通讯：英文版•Jan 1, 2001•0 citations

On the Critical Dynamics in Bose Systems and the Time-Dependent Ginzburg-Landau Model

Masuo Suzuki

An extended expression of the dynamic self-energy of one-particle Green function is obtained up to order 1/m in m-component Bose systems, by means of a complex unperturbed propagator. As applications of it, dynamic critical exponents of the TDGL model as well as of a Bose system are evaluated to order 1/m, for both short-range and long-range interactions. These confirm the previous results of the TDGL model and of the Bose system for short-range interactions. An effective interaction Veff(p, iωn) is obtained to order 1/m, which is useful for discussion on anomalies of transport coefficients near the λ-transition.

Progress of Theoretical Physics•Jan 1, 1975•9 citations

Quantum critical dynamics of the boson system in the Ginzburg–Landau model

Mikhail Gennag'evich Vasin

Physica A Statistical Mechanics and its Applications•Aug 19, 2014•4 citations
The theoretic renormalization group approach is applied to the study of short-time critical behavior of the Ginzburg–Landau model with weakly long-range interactions . The system initially at a high temperature is firstly quenched to the critical temperature and then released to an evolution with a model A dynamics. A double expansion in and with of order is employed, where is the spatial dimension. The asymptotic scaling laws and the initial slip exponents and for the order parameter and the response function respectively are calculated to the second order in for close to 2.
The theoretic renormalization group approach is applied to the study of short-time critical behavior of the Ginzburg-Landau model with weakly long-range interactions pσsps-p. The system initially at a high temperature is firstly quenched to the critical temperature Tc and then released to an evolution with a model A dynamics. A double expansion in ∈ = 2σ-d and α = 1 -σ/2 with α of order ∈ is employed, where d is the spatial dimension. The asymptotic scaling laws and the initial slip exponents θ' and θ for the order parameter and the response function respectively are calculated to the second order in ∈ for σ close to 2.
An extended expression of the dynamic self-energy of one-particle Green function is obtained up to order 1/m in m-component Bose systems, by means of a complex unperturbed propagator. As applications of it, dynamic critical exponents of the TDGL model as well as of a Bose system are evaluated to order 1/m, for both short-range and long-range interactions. These confirm the previous results of the TDGL model and of the Bose system for short-range interactions. An effective interaction Veff(p, iωn) is obtained to order 1/m, which is useful for discussion on anomalies of transport coefficients near the λ-transition.