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A numerical study of finite temperature features of thermodynamical observables is performed for the lattice 2d Ising model. Our results support the conjecture that the Finite Size Scaling analysis employed in the study of integrable…

统计力学 · 物理学 2009-11-07 P. Grinza , A. Rago

We demonstrate the applicability of the $\epsilon$-convergence algorithm in extracting the critical temperatures and critical exponents of three-dimensional Ising models. We analyze the low temperature magnetization as well as high…

统计力学 · 物理学 2024-10-22 M V Vismaya , M V Sangaranarayanan

We present a comparative numerical study of the ordered and the random two-dimensional sine-Gordon models on a lattice. We analytically compute the main features of the expected high temperature phase of both models, described by the…

统计力学 · 物理学 2008-12-18 Angel Sanchez , A. R. Bishop , Esteban Moro

In our previous paper [JHEP 10 (2020) 144], we found that the complex Langevin (CL) method works for QCD at finite density on the $16^3 \times 32$ lattice in the low-temperature high-density regime within the range $\mu / T = 1.6 - 9.6$…

Complex Langevin dynamics can be used to perform numerical simulations of theories with a complex action. In order to justify the procedure, it is important to understand the properties of the real and positive distribution, which is…

高能物理 - 格点 · 物理学 2013-09-13 Pietro Giudice , Gert Aarts , Erhard Seiler

Molecular Dynamics simulations have been performed on the orientationally disordered crystal chloroadamantane: a model system where dynamics are almost completely controlled by rotations. A critical temperature T_c = 225 K as predicted by…

材料科学 · 物理学 2009-10-31 F. Affouard , M. Descamps

QCD at nonzero baryon chemical potential suffers from the sign problem, due to the complex quark determinant. Complex Langevin dynamics can provide a solution, provided certain conditions are met. One of these conditions, holomorphicity of…

高能物理 - 格点 · 物理学 2017-06-07 Gert Aarts , Erhard Seiler , Denes Sexty , Ion-Olimpiu Stamatescu

QCD at non-zero chemical potential ($\mu$) for quark number has a complex fermion determinant and thus standard simulation methods for lattice QCD cannot be applied. We therefore simulate this theory using the Complex-Langevin algorithm…

高能物理 - 格点 · 物理学 2015-10-22 D. K. Sinclair , J. B. Kogut

We propose a new method for computing the temperature dependence of the heat capacity in complex molecular systems. The proposed scheme is based on the use of the Langevin equation with low frequency color noise. We obtain the temperature…

计算物理 · 物理学 2009-11-13 Sahin Buyukdagli , Alexander V. Savin , Bambi Hu

The Langevin dynamics of a system exhibiting a Fluctuation Induced First Order Phase Transition is solved within the self consistent Hartree Approximation. Competition between interactions at short and long length scales gives rise to…

软凝聚态物质 · 物理学 2013-05-29 Roberto Mulet , Daniel Stariolo

Critical properties of the compact three-dimensional U(1) lattice gauge theory are explored at finite temperatures. The critical point of the deconfinement phase transition, critical indices and the string tension are studied numerically on…

高能物理 - 格点 · 物理学 2010-12-23 Oleg Borisenko , Roberto Fiore , Mario Gravina , Alessandro Papa

Jammed packings of granular materials differ from systems normally described by statistical mechanics in that they are athermal. In recent years a statistical mechanics of static granular media has emerged where the thermodynamic…

软凝聚态物质 · 物理学 2015-11-12 Song-Chuan Zhao , Matthias Schröter

The complex Langevin method has been attracting much attention as a solution to the sign problem since the method was shown to work in finite density QCD in the deconfined phase by using the so-called gauge cooling procedure. Whether it…

高能物理 - 格点 · 物理学 2015-11-30 Keitaro Nagata , Jun Nishimura , Shinji Shimasaki

We present a new and improved method for simultaneous control of temperature and pressure in molecular dynamics simulations with periodic boundary conditions. The thermostat-barostat equations are build on our previously developed…

统计力学 · 物理学 2014-11-20 Niels Grønbech-Jensen , Oded Farago

It is well known that investigating QCD at finite density by standard Monte Carlo methods is extremely difficult due to the sign problem. Some years ago, the complex Langevin method with gauge cooling was shown to work at high temperature,…

高能物理 - 格点 · 物理学 2019-01-15 Keitaro Nagata , Jun Nishimura , Shinji Shimasaki

We review the critical behaviour of the Driven Lattice Gas (DLG) model. As a result, we obtain a novel Langevin equation for the DLG which depends on the microscopic transition probabilities. We then show how this dependence affects the…

凝聚态物理 · 物理学 2015-06-25 F. de los Santos , P. L. Garrido

Strong optical drives have been shown to induce transient superconducting-like response in materials above their equilibrium $T_c$. Many of these materials already exhibit short-range superconducting correlations in equilibrium. This…

We theoretically study Langevin systems with a tilted periodic potential. It has been known that the ratio $\Theta$ of the diffusion constant to the differential mobility is not equal to the temperature of the environment (multiplied by the…

统计力学 · 物理学 2009-11-10 Kumiko Hayashi , Shin-ichi Sasa

We study the dynamics of a dilute spherical model with two body interactions and random exchanges. We analyze the Langevin equations and we introduce a functional variational method to study generic dilute disordered models. A crossover…

凝聚态物理 · 物理学 2009-11-07 Guilhem Semerjian , Leticia F. Cugliandolo

In the frustrated interaction systems, the nature of ordered configuration can be intrinsically temperature dependent. There, the idea of effective coupling of decorated and frustrated bond plays an important role. The idea of effective…

无序系统与神经网络 · 物理学 2011-06-06 Shu Tanaka , Seiji Miyashita