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Recent developments in molecular theories and simulation of ions and polar molecules in water are reviewed. The hydration of imidazole and imidazolium solutes is used to exemplify the theoretical issues. The treatment of long-ranged…

化学物理 · 物理学 2016-09-28 Gerhard Hummer , Lawrence R. Pratt , Angel E. Garcia

Fluctuation theorems, which have been developed over the past 15 years, have resulted in fundamental breakthroughs in our understanding of how irreversibility emerges from reversible dynamics, and have provided new statistical mechanical…

统计力学 · 物理学 2015-05-13 E. M. Sevick , R. Prabhakar , Stephen R. Williams , Debra J. Searles

Periodically forced turbulence is used as a test case to evaluate the predictions of two-equation and multiple-scale turbulence models in unsteady flows. The limitations of the two-equation model are shown to originate in the basic…

流体动力学 · 物理学 2010-09-02 Robert Rubinstein , Wouter J. T. Bos

Fluid polyamorphism, the existence of multiple amorphous fluid states in a single-component system, has been observed or predicted in a variety of substances. A remarkable example of this phenomenon is the fluid-fluid phase transition in…

软凝聚态物质 · 物理学 2022-09-21 Nathaniel R. Fried , Thomas J. Longo , Mikhail A. Anisimov

At its core, hydrodynamics is a many-body low-energy effective theory for the long-wavelength, long-timescale dynamics of conserved charges in systems close to thermodynamic equilibrium. It has a wide range of applications spanning from…

高能物理 - 理论 · 物理学 2024-08-22 Luca Martinoia

Irreversible processes play a major role in the description and prediction of atmospheric dynamics. In this paper, we present a variational derivation of the evolution equations for a moist atmosphere with rain process and subject to the…

数学物理 · 物理学 2018-04-27 François Gay-Balmaz

It is shown how traditional development of theories of fluids based upon the concept of physical clustering can be adapted to an alternative local clustering definition. The alternative definition can preserve a detailed valence description…

化学物理 · 物理学 2015-06-26 Lawrence R. Pratt , Randall A. LaViolette

Thermodynamical arguments are known to be useful in the construction of physically motivated Lyapunov functionals for nonlinear stability analysis of spatially homogeneous equilibrium steady states in thermodynamically isolated systems.…

统计力学 · 物理学 2019-08-06 Miroslav Bulíček , Josef Málek , Vít Průša

Thermodynamics, which describes vast systems, has been reconciled with small scales, relevant to single-molecule experiments, in resource theories. Resource theories have been used to model exchanges of energy and information. Recently,…

量子物理 · 物理学 2018-02-05 Nicole Yunger Halpern

Recently, the theoretical framework of stochastic thermodynamics has been revealed to be useful for macroscopic systems. However, despite its conceptual and practical importance, the connection to hydrodynamics has yet to be explored. In…

统计力学 · 物理学 2024-06-21 Kohei Yoshimura , Sosuke Ito

Heat transport in open quantum systems is particularly susceptible to the modeling of system-reservoir interactions. It thus requires to consistently treat the coupling between a quantum system and its environment. While perturbative…

统计力学 · 物理学 2017-06-07 Thomas Motz , Joachim Ankerhold , Jürgen T. Stockburger

We introduce a new computationally efficient and accurate classical density-functional theory for water and apply it to hydration of hard spheres and inert gas atoms. We find good agreement with molecular dynamics simulations for the…

统计力学 · 物理学 2010-01-16 Sahak A. Petrosyan , David Roundy , Jean-Francois Briere , Tomas A. Arias

We use a novel parameterization of the flowing Hamiltonian to show that the flow equations based on continuous unitary transformations, as proposed by Wegner, can be implemented through a nonlinear partial differential equation involving…

其他凝聚态物理 · 物理学 2015-06-24 J. N. Kriel , A. Y. Morozov , F. G. Scholtz

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

We introduce a simple model of the time evolution of a binary mixture of compressible fluids including the thermal effects. Despite its apparent simplicity, the model is thermodynamically consistent admitting an entropy balance equation. We…

偏微分方程分析 · 数学 2021-09-07 Eduard Feireisl , Madalina Petcu , Bangwei She

The hydrodynamic equations for a model of a confined quasi-two-dimensional gas of smooth inelastic hard spheres are derived from the Boltzmann equation for the model, using a generalization of the Chapman-Enskog method. The heat and…

统计力学 · 物理学 2015-06-11 J. Javier Brey , V. Buzón , P. Maynar , M. I. García de Soria

Inspired by the recent developments in the study of the thermodynamics of van der Waals fluids via the theory of nonlinear conservation laws and the description of phase transitions in terms of classical (dissipative) shock waves, we…

可精确求解与可积系统 · 物理学 2016-08-24 Francesco Giglio , Giulio Landolfi , Antonio Moro

Inspired by dense contractile tissues, where cells are subject to periodic deformation, we formulate and study a generic hydrodynamic theory of pulsating active liquids. Combining mechanical and phenomenological arguments, we postulate that…

软凝聚态物质 · 物理学 2025-09-25 Tirthankar Banerjee , Thibault Desaleux , Jonas Ranft , Étienne Fodor

We show how statistical thermodynamics can be formulated in situations in which thermodynamics applies, while equilibrium statistical mechanics does not. A typical case is, in the words of Landau and Lifshitz, that of partial (or…

统计力学 · 物理学 2013-04-16 A. Carati , A. Maiocchi , L. Galgani

We develop a covariant formalism to study nonlinear perturbations of dissipative and interacting relativistic fluids. We derive nonlinear evolution equations for various covectors defined as linear combinations of the spatial gradients of…

天体物理学 · 物理学 2009-11-11 David Langlois , Filippo Vernizzi