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An improved approach to the simulation of strongly fluctuating Coulomb gases, based on a local lattice technique introduced by Maggs and Rossetto, is described and then tested in a problem of biophysical interest. The low acceptance rates…

软凝聚态物质 · 物理学 2009-11-10 A. Duncan , R. D. Sedgewick , R. D. Coalson

The weak localization correction and the mesoscopic fluctuations of the polarizability and the capacitance of a small disordered sample are studied systematically in 2D and 3D geometries. While the grand canonical ensemble calculation gives…

介观与纳米尺度物理 · 物理学 2009-10-30 Ya. M. Blanter , A. D. Mirlin

We use the macroscopic fluctuation theory (MFT) to study large current fluctuations in non-stationary diffusive lattice gases. We identify two universality classes of these fluctuations which we call elliptic and hyperbolic. They emerge in…

统计力学 · 物理学 2015-06-16 Baruch Meerson , Pavel V. Sasorov

We develop a general theory of a boson decomposition for both local and non-local interactions in lattice fermion models which allows us to describe fermionic degrees of freedom and collective charge and spin excitations on equal footing.…

强关联电子 · 物理学 2015-05-28 A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein

We develop stochastic mixed finite element methods for spatially adaptive simulations of fluid-structure interactions when subject to thermal fluctuations. To account for thermal fluctuations, we introduce a discrete fluctuation-dissipation…

介观与纳米尺度物理 · 物理学 2023-02-28 Pat Plunkett , Jon Hu , Chris Siefert , Paul J. Atzberger

Introduction Cold atomic gases in optical lattices are emerging as excellent laboratories for testing models of strongly interacting particles in condensed matter physics. Currently, one of the major open questions is how to obtain the…

量子气体 · 物理学 2013-05-30 E. Duchon , Y. Kato , N. Trivedi

Stochastic thermodynamics has largely succeeded in characterizing both equilibrium and far-from-equilibrium phenomena. Yet many opportunities remain for application to mesoscopic complex systems -- especially biological ones -- whose…

统计力学 · 物理学 2022-11-08 Mikhael T. Semaan , James P. Crutchfield

Dynamical Mean-Field Theory (DMFT) has opened new perspectives for the investigation of strongly correlated electron systems and greatly improved our understanding of correlation effects in models and materials. In contrast to…

强关联电子 · 物理学 2020-07-16 Dieter Vollhardt

The authors in a previous paper proved the hydrodynamic incompressible limit in $d\ge 3$ for a thermal lattice gas, namely a law of large numbers for the density, velocity field and energy. In this paper the equilibrium fluctuations for…

数学物理 · 物理学 2007-05-23 O. Benois , R. Esposito , R. Marra

In small systems where relevant energies are comparable to thermal agitation, fluctuations are of the order of average values. In systems in thermodynamical equilibrium, the variance of these fluctuations can be related to the dissipation…

统计力学 · 物理学 2007-05-23 Nicolas Garnier , Ciliberto Sergio

On the examples of the quantum-electrodynamical Casimir force, as well as critical Casimir and Helmholtz forces, we present a review of some results available for the class of fluctuation induced forces. In addition, we also concisely…

统计力学 · 物理学 2024-06-17 Daniel Dantchev

An approach is proposed for evaluating dipolar and multipolar inter-site interactions in strongly correlated materials. This approach is based on the single-site dynamical mean-field theory (DMFT) in conjunction with the atomic…

强关联电子 · 物理学 2016-09-13 L. V. Pourovskii

Statistical physics in equilibrium grants us one of its most powerful tools: the equipartition principle. It states that the degrees of freedom of a mechanical system act as a thermometer: temperature is equal to the mean variance of their…

统计力学 · 物理学 2020-08-26 Alex Fontana , Richard Pedurand , Ludovic Bellon

The recently established connection between stochastic thermodynamics and fluctuating hydrodynamics is applied to a study of efficiencies in the coupled transport of heat and matter on a small scale. A stochastic model for a mesoscopic cell…

统计力学 · 物理学 2019-04-01 Jean-François Derivaux , Yannick De Decker

Thermal fluctuations play a central role in fluid dynamics at mesoscopic scales and must be incorporated into numerical schemes in a manner consistent with statistical mechanics. In this work, we develop a fluctuating lattice Boltzmann…

流体动力学 · 物理学 2026-02-19 Alessandro De Rosis , Yang Zhou

The energy of fluctuating electromagnetic field is investigated for the thermal Casimir force acting between parallel plates made of real metal. It is proved that for nondissipative media with temperature independent dielectric permittivity…

量子物理 · 物理学 2009-11-07 V. B. Bezerra , G. L. Klimchitskaya , V. M. Mostepanenko

We give a brief account of the development of methods to include thermal fluctuations into lattice Boltzmann algorithms. Emphasis is put on our recent work (Phys. Rev. E 76, 036704 (2007)) which provides a clear understanding in terms of…

统计力学 · 物理学 2009-11-13 Burkhard Duenweg , Ulf D. Schiller , Anthony J. C. Ladd

A multi-component lattice Boltzmann model recently introduced (R. Benzi et al. Phys. Rev. Lett 102, 026002 (2009)) to describe some dynamical behaviors of soft-flowing materials is theoretically analyzed. Equilibrium and transport…

软凝聚态物质 · 物理学 2015-05-13 R. Benzi , M. Sbragaglia , S. Succi , M. Bernaschi , S. Chibbaro

Fluctuations of thermodynamic quantities become non-negligible and play an important role when the system size is small. We develop finite-time thermodynamics of fluctuations in microscopic heat engines whose environmental temperature and…

统计力学 · 物理学 2022-02-16 Gentaro Watanabe , Yuki Minami

Electrostatic correlations and fluctuations in ionic systems can be described within an extended Poisson-Boltzmann theory using a Gaussian variational form. The resulting equations are challenging to solve because they require the solution…

计算物理 · 物理学 2015-06-17 Zhenli Xu , A. C. Maggs