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/0103133 · Physics Letters A

Monte Carlo simulations of critical dynamics with conserved order parameter

B. Zheng

Published Dec 1, 2000• 10 citations
arXivHTMLPDF
DOI
10.1016/s0375-9601(00)00658-7

Related papers

Monte Carlo simulations of short-time critical dynamics

Bo Zheng

Computer Physics Communications•Sep 1, 1999•10 citations

Monte Carlo Simulations of Critical Dynamics with Conserved Order Parameter

Bo Zheng

Taking the two-dimensional Ising model for example, short-time behavior of critical dynamics with a conserved order parameter is investigated by Monte Carlo simulations. Scaling behavior is observed, but the dynamic exponent z is updating schemes dependent. PACS: 64.60.Ht, 02.70.Lq, 75.10.Hk

•Jan 1, 2001•6 citations

Monte Carlo simulations of short-time critical dynamics with a conserved quantity

Bo Zheng, H. J. Luo

With Monte Carlo simulations, we investigate short-time critical dynamics of the three-dimensional antiferromagnetic Ising model with a globally conserved magnetization m(s) (not the order parameter). From the power law behavior of the staggered magnetization (the order parameter), its second moment and the autocorrelation, we determine all static and dynamic critical exponents as well as the critical temperature. The universality class of m(s)=0 is the same as that without a conserved quantity, but the universality class of nonzero m(s) is different.

arXiv:cond-mat/0103136•Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics•May 25, 2001•17 citations

Monte Carlo simulations and numerical solutions of short-time critical dynamics

B Zheng

arXiv:cond-mat/9910504•Physica A Statistical Mechanics and its Applications•Aug 1, 2000•28 citations

Critical Behavior of the Contact Process with Parity Conservation

Norio Inui, A. Yu. Tretyakov

We introduce a parity conserving version of the contact process, which can be treated using a series expansion technique. Both Pad\'e approximants for the series and numerical simulations for the derivative of the order parameter show that the critical exponent $\ensuremath{\beta}$ is consistent with the conjecture $\ensuremath{\beta}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1$. Dynamical Monte Carlo simulations confirm that the model belongs to the branching annihilating random walk with an even number of offsprings universality class.

Physical Review Letters•Jun 8, 1998•17 citations

Numerical Simulations of Critical Dynamics far from Equilibrium

B. Zheng

Springer eBooks•Sep 4, 2006•5 citations
With Monte Carlo simulations, we investigate short-time critical dynamics of the three-dimensional antiferromagnetic Ising model with a globally conserved magnetization m(s) (not the order parameter). From the power law behavior of the staggered magnetization (the order parameter), its second moment and the autocorrelation, we determine all static and dynamic critical exponents as well as the critical temperature. The universality class of m(s)=0 is the same as that without a conserved quantity, but the universality class of nonzero m(s) is different.
We introduce a parity conserving version of the contact process, which can be treated using a series expansion technique. Both Pad\'e approximants for the series and numerical simulations for the derivative of the order parameter show that the critical exponent $\ensuremath{\beta}$ is consistent with the conjecture $\ensuremath{\beta}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1$. Dynamical Monte Carlo simulations confirm that the model belongs to the branching annihilating random walk with an even number of offsprings universality class.