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We study the dynamic critical behavior of the multi-grid Monte Carlo (MGMC) algorithm with piecewise-constant interpolation applied to the two-dimensional O(4)-symmetric nonlinear $\sigma$-model [= SU(2) principal chiral model], on lattices…

高能物理 - 格点 · 物理学 2009-10-22 Robert G. Edwards , Sabino José Ferreira , Jonathan Goodman , Alan D. Sokal

While the 3d Ising model has defied analytic solution, various numerical methods like Monte Carlo, MCRG and series expansion have provided precise information about the phase transition. Using Monte Carlo simulation that employs the Wolff…

计算物理 · 物理学 2018-06-12 Alan M. Ferrenberg , Jiahao Xu , David P. Landau

We consider a fluctuating superconductor in the vicinity of the transition temperature, $T_c$. The fluctuation shear viscosity is calculated. In two dimensions, the leading correction to viscosity is negative and scales as $\delta \eta(T)…

强关联电子 · 物理学 2019-08-07 Yunxiang Liao , Victor Galitski

A new description is proposed for the low-field critical behavior of type-II superconductors. The starting point is the Ginzburg-Landau theory in presence of an external magnetic field H. A set of fictitious vortex variables and a singular…

凝聚态物理 · 物理学 2009-10-28 Zlatko Tesanovic

The magnetic levitation forces of a superconducting disk (SC) levitated by a cylindrical permanent magnet (PM) have been calculated from first principles for superconductors with finite thickness. The current $j(\rho,z)$ and field…

超导电性 · 物理学 2007-05-23 M. J. Qin , G. Li , H. K. Liu , S. X. Dou , E. H. Brandt

The nature of the resistive transition for a current applied parallel to the magnetic field in high-Tc materials is investigated by numerical simulation on the three dimensional Josephson junction array model. It is shown by using finite…

supr-con · 物理学 2009-10-28 E. A. Jagla , C. A. Balseiro

With Monte Carlo methods, we simulate the critical domain-wall dynamics of model B, taking the two-dimensional Ising model as an example. In the macroscopic short-time regime, a dynamic scaling form is revealed. Due to the existence of the…

统计力学 · 物理学 2015-03-13 R. H. Dong , B. Zheng , N. J. Zhou

We apply the event-chain Monte Carlo algorithm to the three-dimensional ferromagnetic Heisenberg model. The algorithm is rejection-free and also realizes an irreversible Markov chain that satisfies global balance. The autocorrelation…

统计力学 · 物理学 2015-12-22 Yoshihiko Nishikawa , Manon Michel , Werner Krauth , Koji Hukushima

We report on numerically exact determinantal quantum Monte Carlo simulations of the onset of spin-density wave (SDW) order in itinerant electron systems captured by a sign-problem-free two-dimensional lattice model. Extensive measurements…

强关联电子 · 物理学 2017-01-18 Max H. Gerlach , Yoni Schattner , Erez Berg , Simon Trebst

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

高能物理 - 格点 · 物理学 2019-06-05 Heiko Rieger , A. P. Young

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

凝聚态物理 · 物理学 2009-10-22 Heiko Rieger , A. P. Young

We investigate the short-time universal behavior of the two dimensional Ashkin-Teller model at the Baxter line by performing time-dependent Monte Carlo Simulations. First, as preparatory results, we obtain the critical parameters by…

统计力学 · 物理学 2017-04-12 H. A. Fernandes , R. da Silva , A. A. Caparica , J. R. Drugowich de Felício

Dynamic relaxation of the XY model quenched from a high temperature state to the critical temperature or below is investigated with Monte Carlo methods. When a non-zero initial magnetization is given, in the short-time regime of the dynamic…

凝聚态物理 · 物理学 2009-10-30 K. Okano , L. Schuelke , K. Yamagishi , B. Zheng

The critical dynamics of classical 3D Heisenberg model and complex model of the real antiferromagnetic Cr2O3 is investigated with use of the method of molecular dynamics. The dynamic critical exponent z are determined for these models on…

统计力学 · 物理学 2013-02-11 A. K. Murtazaev , V. A. Mutailamov

The penetration of transverse magnetic flux into a thin superconducting square film in the flux flow state is considered by numerical simulation. Due to the film self-field, the governing equations are nonlinear, and in combination with the…

超导电性 · 物理学 2013-09-19 J. I. Vestgarden , Y. M. Galperin , T. H. Johansen

In this work we performed numerical simulations for the Ising model on three dimensional lattices with coordination number equal 5. With Monte Carlo simulations in the static case we evaluated the critical temperature and the static…

统计力学 · 物理学 2024-06-28 Lourdes Bibiana Merino-Solís , Francisco Sastre

We study a one-dimensional lattice random walk with an absorbing boundary at the origin and a movable partial reflector. On encountering the reflector, at site x, the walker is reflected (with probability r) to x-1 and the reflector is…

统计力学 · 物理学 2009-11-07 Ronald Dickman , Daniel ben-Avraham

On the basis of the time-dependent Ginzburg-Landau equation we studied the dynamics of the superconducting condensate in a wide two-dimensional sample in the presence of a perpendicular magnetic field and applied current. We could identify…

超导电性 · 物理学 2009-11-10 D. Vodolazov , B. J. Baelus , F. M. Peeters

We compute the leading behavior of the uniform magnetic susceptibility, $\chi$, of a Fermi liquid near an antiferromagnetic transition with dynamic exponent $z=2$. Our calculation clarifies the role of triangular ``anomaly'' graphs in the…

凝聚态物理 · 物理学 2009-10-22 L. B. Ioffe , A. J. Millis

We use quantum Monte-Carlo simulations to calculate the phase diagram and the correlation functions for the quantum phase transitions in the two-dimensional dissipative XY model with and without four-fold anisotropy. Without anisotropy, the…

强关联电子 · 物理学 2015-06-05 Lijun Zhu , Yan Chen , Chandra M. Varma