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The value of the dynamic critical exponent $z$ is studied for two-dimensional superconducting, superfluid, and Josephson Junction array systems in zero magnetic field via the Fisher-Fisher-Huse dynamic scaling. We find $z\simeq5.6\pm0.3$, a…

超导电性 · 物理学 2009-10-31 S. W. Pierson , M. Friesen , S. M. Ammirata , J. C. Hunnicutt , L. A. Gorham

It is shown from computer simulations that the current-voltage ($I$-$V$) characteristics for the two-dimensional XY model with resistively-shunted Josephson junction dynamics and Monte Carlo dynamics obeys a finite-size scaling form from…

超导电性 · 物理学 2007-05-23 Petter Minnhagen , Beom Jun Kim , A. Gronlund

In recent years many groups have used Fisher, Fisher, and Huse (FFH) dynamical scaling to investigate and demonstrate details of the superconducting phase transition. Some attention has been focused on two dimensions where the phase…

超导电性 · 物理学 2009-10-31 J. Holzer , R. S. Newrock , C. J. Lobb , T. Aouaroun , S. T. Herbert

Zero-field current-voltage (I-V) characteristics of a thin ("two-dimensional") $Bi_2Sr_2CaCu_2O_{8+\delta}$ crystal are reported and analyzed in two ways. The "conventional" approach yields ambiguous results while a dynamical scaling…

The dynamic critical exponent $z$ is determined from numerical simulations for the three-dimensional (3D) lattice Coulomb gas (LCG) and the 3D XY models with relaxational dynamics. It is suggested that the dynamics is characterized by two…

超导电性 · 物理学 2007-05-23 Petter Minnhagen , Beom Jun Kim , Hans Weber

We use a driven Monte Carlo dynamics in the phase representation to determine the linear resistivity and current-voltage scaling of a two-dimensional Josephson-junction array at an irrational flux quantum per plaquette. The results are…

超导电性 · 物理学 2009-11-13 Enzo Granato

The dynamic critical exponent $z$ is determined numerically for the $d$-dimensional XY model ($d=2, 3$, and 4) subject to relaxational dynamics and resistively shunted junction dynamics. We investigate both the equilibrium fluctuation and…

超导电性 · 物理学 2007-05-23 Lars Melwyn Jensen , Beom Jun Kim , Petter Minnhagen

Using the new supercomputer JUMP at the Research Center Juelich, we were able to simulate large lattices (up to L=2000000, meaning a new world record) for long times (up to T=6000 for L=150000). Using this data, we examined the dynamical…

统计力学 · 物理学 2009-11-10 Daniel Tiggemann

We carry out driven diffusion Monte Carlo simulations of the two dimensional classical lattice Coulomb gas in an applied uniform electric field, as a model for vortex motion due to an applied d.c. current, in a periodic superconducting…

凝聚态物理 · 物理学 2009-10-22 Jong-Rim Lee , S. Teitel

We calculate the dynamic critical exponent $z$ for 2d and 3d Ising universality classes by means of minimally subtracted five-loop $\varepsilon$ expansion obtained for the one-component model A. This breakthrough turns out to be possible…

In this work we have calculated the dynamic critical exponent $z$ for 2-, 3- and 4-dimensional Ising models using the Wolff's algorithm through dynamic finite size scaling. We have studied time evolution of the average cluster size, the…

统计力学 · 物理学 2007-05-23 Mehmet Dílaver , Semra Gündüç , Meral Aydın , Yiğit Gündüç

We have studied the rationally frustrated Josephson-junction array model in the square lattice through Monte Carlo simulations of $(2+1)$D XY-model. For frustration $f=1/4$, the model at zero temperature shows a continuous…

强关联电子 · 物理学 2009-11-07 Hunpyo Lee , Min-Chul Cha

We study the scaling behavior and critical dynamics of the resistive transition in Josephson-junction arrays, at f=1/2 flux quantum per plaquette, by numerical simulation of an on-site dissipation model for the dynamics. The results are…

超导电性 · 物理学 2009-11-11 Enzo Granato , Daniel Dominguez

We have studied experimentally the magnetic field-induced superconductor-insulator quantum phase transition in one-dimensional arrays of small Josephson junctions. The zero bias resistance was found to display a drastic change upon…

超导电性 · 物理学 2013-05-29 Watson Kuo , C. D. Chen

We study the resistive transition in Josephson-junction arrays at $f=1/2$ flux quantum per plaquette by dynamical simulations of the resistively-shunted-junction model. The current-voltage scaling and critical dynamics of the phases are…

超导电性 · 物理学 2009-11-10 Enzo Granato , Daniel Dominguez

The dynamic critical exponent z is determined from numerical simulations for the three-dimensional XY model subject to two types of dynamics, i.e. relaxational dynamics and resistively shunted junction (RSJ) dynamics, as well as for two…

超导电性 · 物理学 2007-05-23 Lars Melwyn Jensen , Beom Jun Kim , Petter Minnhagen

Recently the scaling result $z=d$ for the dynamic critical exponent at the Bose glass to superfluid quantum phase transition has been questioned both on theoretical and numerical grounds. This motivates a careful evaluation of the critical…

无序系统与神经网络 · 物理学 2015-05-30 Hannes Meier , Mats Wallin

We describe numerical simulations of the stochastic diffusion equation with a conserved charge. We focus on the dynamics in the vicinity of a critical point in the Ising universality class. The model we consider is expected to describe the…

核理论 · 物理学 2023-10-17 Chandrodoy Chattopadhyay , Josh Ott , Thomas Schaefer , Vladimir Skokov

Dynamical simulations and scaling arguments are used to study the current-voltage (IV) characteristics of a two-dimensional model of resistively shunted Josephson-junction arrays in presence of percolative disorder, at zero external field.…

超导电性 · 物理学 2009-10-30 Enzo Granato , Daniel Dominguez

We study purely dissipative relaxational dynamics in the three-dimensional Ising universality class. To this end, we simulate the improved Blume-Capel model on the simple cubic lattice by using local algorithms. We perform a finite size…

统计力学 · 物理学 2020-02-28 Martin Hasenbusch
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