SHORT-TIME CRITICAL DYNAMICS OF MULTISPIN INTERACTION ISING MODEL IN TWO DIMENSIONS

We investigated the short-time dynamics of a multispin model in two dimensions. A dynamical Monte Carlo simulation which avoids the critical slowing down is performed at critical temperature and the short-time dynamic scaling behavior is found. By using the universal power-law scaling features, the critical exponents θ, z and 2β/ν are estimated in our calculations.

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DETERMINATION OF THE VAPOR-LIQUID CRITICAL POINT FROM THE SHORT-TIME DYNAMICS

Modern Physics Letters B ◽

10.1142/s0217984901001768 ◽

2001 ◽

Vol 15 (12n13) ◽

pp. 369-374 ◽

Cited By ~ 2

Author(s):

SHENG-YOU HUANG ◽

XIAN-WU ZOU ◽

ZHI-JIE TAN ◽

ZHUN-ZHI JIN

Keyword(s):

Critical Point ◽

Early Time ◽

Dynamic Scaling ◽

Time Behavior ◽

Time Dynamic ◽

Time Dynamics ◽

Dynamics Simulations ◽

Average Potential Energy ◽

Short Time ◽

Vapor Liquid

Considering the average potential energy per particle as the parameter, we investigate the early-time dynamics of vapor-liquid transition in the critical region for 2D Lennard-Jones fluids by using NVT molecular dynamics simulations. The results verify the existence of short-time dynamic scaling in the fluid systems and show that the critical point Tc can be determined by the universal short-time behavior. The obtained value of Tc = 0.540 from the short-time dynamics is very close to the value of 0.533 from the Monte Carlo simulations in the equilibrium state of the systems.

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DYNAMIC SCALING FOR FIRST-ORDER PHASE TRANSITIONS

International Journal of Modern Physics C ◽

10.1142/s0129183100000468 ◽

2000 ◽

Vol 11 (03) ◽

pp. 553-559

Author(s):

BANU EBRU ÖZOĞUZ ◽

YIĞIT GÜNDÜÇ ◽

MERAL AYDIN

Keyword(s):

Phase Transitions ◽

Finite Size ◽

Two Dimensions ◽

Dynamic Scaling ◽

Finite Size Scaling ◽

Potts Models ◽

Time Dynamics ◽

First Order ◽

Short Time ◽

First Order Phase

The critical behavior in short time dynamics for the q = 6 and 7 state Potts models in two-dimensions is investigated. It is shown that dynamic finite-size scaling exists for first-order phase transitions.

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Dynamic Monte Carlo Study of the Two-Dimensional Quantum XY Model

Modern Physics Letters B ◽

10.1142/s0217984998001463 ◽

1998 ◽

Vol 12 (29n30) ◽

pp. 1237-1243 ◽

Cited By ~ 13

Author(s):

H. P. Ying ◽

H. J. Luo ◽

L. Schülke ◽

B. Zheng

Keyword(s):

Monte Carlo ◽

Monte Carlo Study ◽

Two Dimensions ◽

Xy Model ◽

Dynamic Scaling ◽

Two Dimensional ◽

Time Dynamic ◽

Dynamic Monte Carlo ◽

Short Time ◽

Dynamical Exponents

We present a dynamic Monte Carlo study of the spin-1/2 quantum XY model in two-dimensions at the Kosterlitz–Thouless phase transition temperature. The short-time dynamic scaling behaviour is found and the dynamical exponents θ, z and the static exponent η are determined.

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Monte Carlo Simulations of Short-Time Critical Dynamics

International Journal of Modern Physics B ◽

10.1142/s021797929800288x ◽

1998 ◽

Vol 12 (14) ◽

pp. 1419-1484 ◽

Cited By ~ 220

Author(s):

B. Zheng

Keyword(s):

Monte Carlo ◽

Monte Carlo Simulations ◽

Dynamic Systems ◽

Critical Exponents ◽

Xy Model ◽

Critical Dynamics ◽

Time Dynamics ◽

Time Critical ◽

Short Time ◽

Dynamic Ising Model

Monte Carlo simulations of the short-time critical dynamics are reviewed. The short-time universal scaling behavior of the dynamic Ising model and Potts model are discussed in detail, while extension and application to more complex systems as the XY model, the fully frustrated XY model and other dynamic systems are also presented. The investigation of the universal behavior of the short-time dynamics not only enlarges the fundamental knowledge on critical phenomena but also, more interestingly, provides possible new ways to determine not only the new critical exponents θ and θ1, but also the traditional dynamic critical exponent z as well as all static critical exponents.

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