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In the case of nonabelian gauge theories with a complex weight, a controlled exploration of the complexified configuration space during a complex Langevin process requires the use of SL(N,C) gauge cooling, in order to minimize the distance…

高能物理 - 格点 · 物理学 2014-10-20 Lorenzo Bongiovanni , Gert Aarts , Erhard Seiler , Denes Sexty , Ion-Olimpiu Stamatescu

Low-order perturbation corrections to the electronic grand potential, internal energy, chemical potential, and entropy of a gas of noninteracting, identical molecules at a nonzero temperature are determined numerically as the…

化学物理 · 物理学 2019-10-21 Punit K. Jha , So Hirata

A model of dipolar dimer liquid (DDL) on a two-dimensional lattice has been proposed. We found that at high density and low temperature, it has a partially ordered phase which we called glacia phase. The glacia phase transition can be…

统计力学 · 物理学 2019-02-26 Junyi Zhang

A simple and computationally efficient algorithm enables implementing negative temperature values in a spin dynamics simulation. The algorithm uses a Langevin spin dynamics thermostat with a negative damping parameter, enabling the…

材料科学 · 物理学 2024-03-05 Pui-Wai Ma , Sergei L. Dudarev

The sign problem appears in lattice QCD as soon as a non-zero chemical potential is introduced. This prevents direct simulations to determine the phase structure of the strongly interacting matter. Complex Langevin methods have been…

高能物理 - 格点 · 物理学 2018-04-18 Felipe Attanasio , Benjamin Jäger

This paper is devoted to the development of a theoretical and computational framework to efficiently sample the statistically significant thermally activated reaction pathways, in multi-dimensional systems obeying Langevin dynamics. We show…

统计力学 · 物理学 2009-11-13 E. Autieri , P. Faccioli , M. Sega , F. Pederiva , H. Orland

The Equation of State of Quantum Chromodynamics with $N_f=3$ flavours is determined non-perturbatively with a precision of about $0.5\%-1.0\%$ in the range of temperatures between 3 GeV and 165 GeV. The computation is carried out by…

高能物理 - 格点 · 物理学 2025-10-01 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

Our aim is to give a self-contained review of recent advances in the analytic description of the deconfinement transition and determination of the deconfinement temperature in lattice QCD at large N. We also include some new results, as for…

高能物理 - 理论 · 物理学 2015-06-26 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

We present a new method for isothermal rigid body simulations using the quaternion representation and Langevin dynamics. It can be combined with the traditional Langevin or gradient (Brownian) dynamics for the translational degrees of…

计算物理 · 物理学 2013-11-26 Ruslan L. Davidchack , Richard Handel , M. V. Tretyakov

The complex Langevin method is a leading candidate for solving the so-called sign problem occurring in various physical situations. Its most vexing problem is that in some cases it produces `convergence to the wrong limit'. In the first…

高能物理 - 格点 · 物理学 2015-05-27 Gert Aarts , Frank A. James , Erhard Seiler , Ion-Olimpiu Stamatescu

We discuss the prospects of performing high-order perturbative calculations in systems characterized by a vanishing temperature but finite density. In particular, we show that the determination of generic Feynman integrals containing…

高能物理 - 唯象学 · 物理学 2017-01-04 Ioan Ghisoiu , Tyler Gorda , Aleksi Kurkela , Paul Romatschke , Matias Säppi , Aleksi Vuorinen

An estimator for the dynamical temperature in an arbitrary ensemble is derived in the framework of Bayesian statistical mechanics and the maximum entropy principle. We test this estimator numerically by a simulation of the two-dimensional…

统计力学 · 物理学 2016-12-14 G. Palma , G. Gutiérrez , S. Davis

The observable behavior of a system usually carries useful information about its internal state, properties, and potential future behaviors. In this paper, we introduce configuration monitoring to determine an unknown configuration of a…

形式语言与自动机理论 · 计算机科学 2024-09-02 Maximilian A. Köhl , Clemens Dubslaff , Holger Hermanns

The complex Langevin method in conjunction with the gauge cooling is applied to the two-dimensional lattice $SU(2)$ Yang-Mills theory that is analytically solvable. We obtain strong numerical evidence that at large Langevin time the…

高能物理 - 格点 · 物理学 2015-10-21 Hiroki Makino , Hiroshi Suzuki , Daisuke Takeda

Complex Langevin simulations are an attempt to solve the sign (or complex-action) problem encountered in various physical systems of interest. The method is based on a complexification of the underlying degrees of freedom and an evolution…

高能物理 - 格点 · 物理学 2025-04-08 Michael W. Hansen , Michael Mandl , Erhard Seiler , Dénes Sexty

We study lattice QCD at non-vanishing chemical potential using the complex Langevin equation. We compare the results with multi-parameter reweighting both from $\mu=0$ and phase quenched ensembles. We find a good agreement for lattice…

高能物理 - 格点 · 物理学 2015-12-02 Z. Fodor , S. D. Katz , D. Sexty , C. Török

Adaptive Langevin dynamics is a method for sampling the Boltzmann-Gibbs distribution at prescribed temperature in cases where the potential gradient is subject to stochastic perturbation of unknown magnitude. The method replaces the…

概率论 · 数学 2023-11-14 Benedict Leimkuhler , Matthias Sachs , Gabriel Stoltz

In this work, we study the nonequilibrium statistical properties of the relaxation dynamics of a nanoparticle trapped in a harmonic potential. We report an exact time-dependent analytical solution to the Langevin dynamics that arises from…

统计力学 · 物理学 2016-11-23 Domingos S. P. Salazar , Sérgio A. Lira

We investigate the critical behavior of continuous phase transitions in the context of Ginzburg Landau models with a double well effective potential. In particular, we show that the recently proposed configurational entropy, a measure of…

统计力学 · 物理学 2020-12-10 Marcelo Gleiser , Damian Sowinski

Using extensive Monte Carlo simulations, we clarify the critical behaviour of the 3 dimensional simple cubic Ising Fully Frustrated system. We find two transition temperatures and two long range ordered phases. Within the present numerical…

统计力学 · 物理学 2009-10-31 L. W. Bernardi , K. Hukushima , H. Takayama