Modern Physics Letters B

SHORT-TIME DYNAMICS OF THE RANDOM n-VECTOR MODEL WITH LONG-RANGE INTERACTION

Yuan Chen, Zhibing Li

Published Oct 10, 2003• 4 citations

Abstract

The short-time critical behavior of the random n-vector model with long-range interaction is studied by the theoretic renormalization-group approach. After a sudden quench to the critical temperature from the high temperature phase, the system is released to an evolution within model A dynamics. The initial slip exponents and the dynamic exponent are calculated to two-loop order.

DOI: 10.1142/s0217984903006244

Related papers

THE AGING BEHAVIOR OF THE RANDOM n-VECTOR MODEL WITH LONG-RANGE INTERACTION

Yuan Chen

The aging behavior of the random n-vector model with long-range interaction decaying as r-(d+σ) (where d is the dimensionality), is investigated by the theoretic renormalization-group approach. The system initially disordered at a high temperature is firstly quenched to the critical temperature T c and then released to an evolution with model A dynamics. The aging properties are studied by the short-time expansions. The scaling behavior of two-time response and correlation functions are obtained in a frame of the expansion in ∊ = 2σ-d. In dimensions d < 2σ, the long-time limit of the critical fluctuation dissipation ratio X∞ is calculated up to one-loop order. The simulation of X∞ is discussed.

Modern Physics Letters BOct 3, 20071 citation

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 PhysicsApr 15, 20013 citations

Short-Time Dynamics of the Random n -Vector Model

Yuan Chen, Zhibing Li, Fang Hai +2 more

Short-time critical behavior of the random n -vector model is studied by the theoretic renormalization-group approach. Asymptotic scaling laws are studied in a frame of the expansion in =4- d for n ≠1 and for n =1 respectively. In d <4, the initial slip exponents θ' for the order parameter and θ for the response function are calculated up to the second order in =4- d for n ≠1 and for n =1 at the random fixed point respectively. Our results show that the random impurities exert a strong influence on the short-time dynamics for d <4 and n < n c .

Communications in Theoretical PhysicsNov 15, 20011 citation

Short-time dynamics of a random Ising model with long-range interaction

Yuan Chen

Short-time critical dynamics of a random Ising model (model A) with long-range interaction decaying as r(-(d+sigma)) (where sigma is the parameter controlling the range of the interaction), is studied by the theoretic renormalization-group approach. In dimensions d<2sigma, the initial slip exponents theta(') describing the initial increase of the order parameter, and theta for the growth of the response function, which govern the short-time scaling behaviors, are calculated to the second order in sqrt[epsilon] with epsilon=2sigma-d. The crossover between the long-range interaction and the short-range interaction, which occurs at some sigma>2, is also discussed.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsSep 25, 200214 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, 20010 citations

Short-Time Dynamics of the Random n-Vector Model

Chen, Yuan, Zhibing Li +7 more

Short-time critical behavior of the random n-vector model is studied by the theoretic renormalization-group approach.Asymptotic scaling laws are studied in a frame of the expansion in e = 4 - d for n ≠ 1 and for n = 1respectively.In d ＜ 4,the initial slip exponents θ′ for the order parameter and θ for the response function are calculated up to the second order in e ＝ 4 - d for n ≠ 1 and for n ＝ 1 at the random fixed point respectively.Our results show that the random impurities exert a strong influence on the short-time dynamics for d ＜ 4 and n ＜ nc.``

理论物理通讯：英文版Jan 1, 20010 citations