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We introduce thermal fluctuations in the lattice Boltzmann method for non-ideal fluids. A fluctuation-dissipation theorem is derived within the Langevin framework and applied to a specific lattice Boltzmann model that approximates the…

软凝聚态物质 · 物理学 2010-12-01 M. Gross , R. Adhikari , M. E. Cates , F. Varnik

We introduce a finite-time detailed fluctuation theorem for the environmental entropy of the form $\tilde P(\Delta S_{env}) = e^{\Delta S_{env}} \tilde P(-\Delta S_{env})$ for an appropriately weighted probability density of the external…

统计力学 · 物理学 2013-04-22 David Luposchainsky , Andre Cardoso Barato , Haye Hinrichsen

Some nonequilibrium systems exhibit anomalous suppression of the large-scale density fluctuations, so-called hyperuniformity. Recently, hyperuniformity was found numerically in a simple model of chiral active fluids [Q.-L. Lei et al., Sci.…

软凝聚态物质 · 物理学 2023-11-13 Yuta Kuroda , Kunimasa Miyazaki

We study diffusive mixing in the presence of thermal fluctuations under the assumption of large Schmidt number. In this regime we obtain a limiting equation that contains a diffusive thermal drift term with diffusion coefficient obeying a…

统计力学 · 物理学 2015-06-18 A. Donev , T. G. Fai , E. Vanden-Eijnden

We formulate a relativistic hydrodynamic theory for fluids with spin and intrinsic dilation charges. Using an entropy-current analysis, we derive constitutive relations featuring a bulk viscosity and a dilation conductivity governing the…

高能物理 - 理论 · 物理学 2026-03-19 Zhong-Hua Zhang , Xi-Hu Lv , Xu-Guang Huang

A general diffuse interface model with a realistic equation of state (e.g. Peng-Robinson equation of state) is proposed to describe the multi-component two-phase fluid flow based on the principles of the NVT-based framework which is a…

数值分析 · 数学 2016-11-29 Jisheng Kou , Shuyu Sun

In many scenarios of interest, a quantum system interacts with an unknown environment, necessitating the use of open quantum system methods to capture dissipative effects and environmental noise. With the long-term goal of developing a…

高能物理 - 理论 · 物理学 2025-03-26 Santiago Agui Salcedo , Thomas Colas , Enrico Pajer

We examine hydrodynamics from the perspective of an effective field theory. The microscopic scale in this case is the thermalization scale, and the macroscopic scale is the gradient, with thermal fluctuations playing the role of $\hbar$. We…

高能物理 - 理论 · 物理学 2019-07-24 David Montenegro , Radoslaw Ryblewski , Giorgio Torrieri

We analyze a hydrodynamical model of a polar fluid in (3+1)-dimensional spacetime. We explore a spacetime symmetry -- volume preserving diffeomorphisms -- to construct an effective description of this fluid in terms of a topological BF…

介观与纳米尺度物理 · 物理学 2015-01-12 Apoorv Tiwari , Xiao Chen , Titus Neupert , Luiz Santos , Shinsei Ryu , Claudio Chamon , Christopher Mudry

A generally relativistic theory of thermodynamics is developed, based on four main physical principles: heat is a local form of energy, therefore described by a thermal energy tensor; conservation of mass, equivalent to conservation of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Sean A. Hayward

We propose a generalization of quantum mechanical equations in the hydrodynamic form by introducing, into the Lagrangian density, terms taking into account the diffusion velocity at zero and finite temperatures and the diffusion pressure…

量子物理 · 物理学 2014-04-14 O. N. Golubjeva , S. V. Sidorov

The article provides a unitary and complete solution to the fluctuation-dissipation relations for particle hydromechanics in a generic fluid, accounting for the hydrodynamic fluid-particle interactions (including arbitrary memory kernels in…

统计力学 · 物理学 2024-12-30 Massimiliano Giona , Giuseppe Procopio , Chiara Pezzotti

We examine the effective theory of critical dynamics near superfluid phase transitions in the framework of the Keldysh-Schwinger formalism. We focus on the sector capturing the dynamics of the complex order parameter and the conserved…

高能物理 - 理论 · 物理学 2024-01-31 Aristomenis Donos , Polydoros Kailidis

The search for the conjectured QCD critical point in heavy-ion collisions requires to account for far-from equilibrium effects as well as fluctuations, and in particular non-Gaussian fluctuations, in the modeling of the dynamics of the hot…

高能物理 - 理论 · 物理学 2025-04-29 Navid Abbasi , Dirk H. Rischke

The fluctuation theorem is a pivotal result of statistical physics. It quantifies the probability of observing fluctuations which are in violation of the second law of thermodynamics. More specifically, it quantifies the ratio of the…

统计力学 · 物理学 2011-08-26 M. Belushkin , R. Livi , G. Foffi

The observable properties of topological quantum matter are often described by topological field theories. We here demonstrate that this principle extends beyond thermal equilibrium. To this end, we construct a model of two-dimensional…

统计力学 · 物理学 2020-07-01 Federico Tonielli , Jan Carl Budich , Alexander Altland , Sebastian Diehl

Assuming an effective quadratic Hamiltonian, we derive an approximate, linear stochastic equation of motion for the density-fluctuations in liquids, composed of overdamped Brownian particles. From this approach, time dependent two point…

软凝聚态物质 · 物理学 2017-04-26 Matthias Krüger , David S. Dean

We unveil the universal (model-independent) symmetry satisfied by Schwinger-Keldysh quantum field theories whenever they describe equilibrium dynamics. This is made possible by a generalization of the Schwinger-Keldysh path-integral…

统计力学 · 物理学 2018-02-02 Camille Aron , Giulio Biroli , Leticia F. Cugliandolo

We consider the low-energy effective field theory describing the infrared dynamics of non-dissipative fluids. We extend previous work to accommodate conserved charges, and we clarify the matching between field theory variables and…

高能物理 - 理论 · 物理学 2012-08-23 Sergei Dubovsky , Lam Hui , Alberto Nicolis , Dam Thanh Son

The correlation theory of the thermal hydrodynamic fluctuations of liquids with internal spin within a spherical cavity is developed. For the hydrodynamic fields of such a liquid, linearized equations with random thermal sources are used.…

软凝聚态物质 · 物理学 2007-05-23 T. Yu. Tchesskaya , V. Lisy , A. V. Zatovsky