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A stochastic theory is presented for a quantum vortex that is expected to occur in superfluids coated on two dimensional sphere $ {\rm S}^2 $. The starting point is the canonical equation of motion (the Kirchhoff equation) for a point…

Statistical Mechanics · Physics 2015-05-30 Hiroshi Kuratsuji

The conventional theory of hydrodynamics describes the evolution in time of chaotic many-particle systems from local to global equilibrium. In a quantum integrable system, local equilibrium is characterized by a local generalized Gibbs…

Statistical Mechanics · Physics 2018-02-21 Vir B. Bulchandani , Romain Vasseur , Christoph Karrasch , Joel E. Moore

The results of molecular dynamics simulations of the properties of water in an aqueous ionic solution close to an interface with a model metallic electrode are described. In the simulations the electrode behaves as an ideally polarizable…

Statistical Mechanics · Physics 2014-09-09 Adam P. Willard , Stewart K. Reed , Paul A. Madden , David Chandler

It is undeniable that life as we know it depends on liquid water. It is difficult to imagine any biochemical machinery that does not require water. On Earth, life adapts to the most diverse environments and, once established, it is very…

Earth and Planetary Astrophysics · Physics 2018-03-08 Karla de Souza Torres , Othon Cabo Winter

We investigate fluid transport in random velocity fields with unsteady drift. First, we propose to quantify fluid transport between flow regimes of different characteristic motion, by escape probability and mean residence time. We then…

chao-dyn · Physics 2007-05-23 Jinqiao Duan , James Brannan , Vincent Ervin

Systems with long-range interactions display a short-time relaxation towards Quasi-Stationary States (QSSs), whose lifetime increases with system size. With reference to the Hamiltonian Mean Field (HMF) model, we here review Lynden-Bell's…

Statistical Mechanics · Physics 2016-11-23 Pierre-Henri Chavanis , Giovanni De Ninno , Duccio Fanelli , Stefano Ruffo

We analyze differences in dynamics and in properties of the sampled potential energy landscape between different equilibrium trajectories, for a system of rigid water molecules interacting with a two body potential. On entering in the…

Soft Condensed Matter · Physics 2007-05-23 E. La Nave , F. Sciortino

Kinetics of phase separation in a three dimensional single-component Lennard-Jones fluid, that exhibits vapor-liquid transition, is studied via molecular dynamics simulations after quenching homogeneous systems, of different overall…

Statistical Mechanics · Physics 2018-03-09 Sutapa Roy , Subir K. Das

The modern form of the Saint-Venant - Wantzel formula for an outflow velocity of gas stream from flowing element is submitted. Taking into account of contact interaction of gas stream with the streamline surface in the form of the static…

Fluid Dynamics · Physics 2007-05-23 S. L. Arsenjev , I. B. Lozovitski , Y. P. Sirik

Systems with long-range interactions display a short-time relaxation towards Quasi Stationary States (QSSs) whose lifetime increases with system size. With reference to the Hamiltonian Mean Field (HMF) model, we here show that a maximum…

Statistical Mechanics · Physics 2009-11-13 Andrea Antoniazzi , Duccio Fanelli , Stefano Ruffo , Yoshiyuki Y. Yamaguchi

In equilibrium and supercooled liquids, polymorphism is manifested by thermodynamic regions defined in the phase diagram, which are predominantly of different short- and medium-range order (local structure). It is found that on the phase…

Soft Condensed Matter · Physics 2024-03-19 Anatolii V. Mokshin , Roman V. Vlasov

We study a homogeneously driven granular fluid of hard spheres at intermediate volume fractions and focus on time-delayed correlation functions in the stationary state. Inelastic collisions are modeled by incomplete normal restitution,…

Statistical Mechanics · Physics 2013-05-29 Katharina Vollmayr-Lee , Timo Aspelmeier , Annette Zippelius

The emergence of a classical spacetime from any quantum gravity model is still a subtle and only partially understood issue. If indeed spacetime is arising as some sort of large scale condensate of more fundamental objects then it is…

General Relativity and Quantum Cosmology · Physics 2014-04-24 Stefano Liberati , Luca Maccione

We analyze the diffusion of a Brownian particle in a fluid under stationary flow. By using the scheme of non-equilibrium thermodynamics in phase space, we obtain the Fokker-Planck equation which is compared with others derived from kinetic…

Statistical Mechanics · Physics 2016-08-16 I. Santamaría-Holek , D. Reguera , J. M. Rubí

Tetrahedral interactions describe the behaviour of the most abundant and technologically important materials on Earth, such as water, silicon, carbon, germanium, and countless others. Despite their differences, these materials share unique…

Soft Condensed Matter · Physics 2018-04-13 John Russo , Kenji Akahane , Hajime Tanaka

In {\em{Holm}, Proc. Roy. Soc. A 471 (2015)} stochastic fluid equations were derived by employing a variational principle with an assumed stochastic Lagrangian particle dynamics. Here we show that the same stochastic Lagrangian dynamics…

Analysis of PDEs · Mathematics 2017-10-25 Colin J Cotter , Georg A Gottwald , Darryl D Holm

We investigate the behavior of self-propelled particles in infinite space dimensions by comparing two powerful approaches in many-body dynamics: the Fokker-Planck equation and dynamical mean-field theory. The dynamics of the particles at…

Unlike crystalline solids or ideal gases, transport properties remain difficult to describe from a microscopic point of view in liquids, whose dynamics result from complex energetic and entropic contributions at the atomic scale. Two…

Soft Condensed Matter · Physics 2022-08-16 Farid Rizk , Simon Gelin , Anne-Laure Biance , Laurent Joly

This paper explores the catastrophic energy transformations, in particular the ones leading to the generation of a flow in a weakly rotating self-gravitating fluid/gas found, for instance, in the vicinity of a massive compact object.…

High Energy Astrophysical Phenomena · Physics 2026-02-03 L. Gudushauri , N. L. Shatashvili , G. Shekiladze , S. M. Mahajan

We investigate the equilibrium of a fluid in contact with a solid boundary through a density-functional theory. Depending on the conditions, the fluid can be in one phase, gas or liquid, or two phases, while the wall induces an external…

Fluid Dynamics · Physics 2012-02-06 Antonio Pereira , Serafim Kalliadasis