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We show in detail how three one-body fluctuation profiles, namely the local compressibility, the local thermal susceptibility, and the reduced density, can be obtained from a statistical mechanical many-body description of classical…

Statistical Mechanics · Physics 2026-04-08 Tobias Eckert , Nex C. X. Stuhlmüller , Florian Sammüller , Matthias Schmidt

We consider a particle undergoing Brownian motion in Euclidean space of any dimension, forced by a Gaussian random velocity field that is white in time and smooth in space. We show that conditional on the velocity field, the quenched…

Probability · Mathematics 2022-02-09 Alexander Dunlap , Yu Gu

Local modes and local particles are defined at any point in curved space time as those that most resemble Minkowsky modes at that point. It is shown that the renormalised stress tensor is the difference of energy between the physical vacuum…

High Energy Physics - Theory · Physics 2011-04-15 S. Massar

A thermodynamic analysis of weakly nonlocal non-relativistic fluids is presented under the assumption that an additional scalar field also contributes to the dynamics. The most general evolution of this field and the constitutive relations…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Mátyás Szücs , Péter Ván

We describe the cosmological dynamics of perfect fluids within the framework of effective field theories. The effective action is a derivative expansion whose terms are selected by the symmetry requirements on the relevant long-distance…

High Energy Physics - Theory · Physics 2013-05-23 Guillermo Ballesteros , Brando Bellazzini

We investigate an undamped random phase-space dynamics in deterministic external force fields (conservative and magnetic ones). By employing the hydrodynamical formalism for those stochastic processes we analyze microscopic kinetic-type…

Statistical Mechanics · Physics 2009-11-07 R. Czopnik , P. Garbaczewski

Inhomogeneous fluids exhibit physical properties that are neither uniform nor isotropic. The pressure tensor is a case in point, key to the mechanical description of the interfacial region. Kirkwood and Buff, and later Irving and Kirkwood,…

Statistical Mechanics · Physics 2018-08-15 Carlos Braga , Edward Smith , Andreas Nold , David N. Sibley , Serafim Kalliadasis

In shape analysis, the concept of shape spaces has always been vague, requiring a case-by-case approach for every new type of shape. In this paper, we give a general definition for an abstract space of shapes in a manifold. This notion…

Differential Geometry · Mathematics 2015-04-09 Sylvain Arguillère

In this work, we will introduce a general framework to derive the thermodynamics of a fluid mechanical system, which guarantees the consistence between the energetic variational approaches with the laws of thermodynamics. In particular, we…

Analysis of PDEs · Mathematics 2021-02-24 Chun Liu , Jan-Eric Sulzbach

Stochastic field theories are often constructed phenomenologically, without a systematic assessment of thermodynamic consistency or local detailed balance. This may hinder a physical description of irreversibility at the field-theoretic…

Statistical Mechanics · Physics 2026-04-29 Héctor Vaquero del Pino , François Gay-Balmaz , Hiroaki Yoshimura , Lock Yue Chew

An inhomogeneous fluid in accelerated motion is investigated. When the velocity field $v(x)$ is not constant, the geometry viewed by a static observer is curved, as if the observer were immersed in a gravitational field. A…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Hristu Culetu

Recent times have seen surge of research activity on systems combining fluid mechanics and electromagnetic fields. In radiation optics, whenever information about the distribution of pressure in a dielectric fluid is required, the…

Fluid Dynamics · Physics 2012-03-05 Simen Å. Ellingsen , Iver Brevik

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

We present an experimental investigation of the pressure dynamics during the flow of self-propelled particles through narrow passages. When the ensemble is flowing, pressure fluctuates around a constant value that does not depend on the…

Other Condensed Matter · Physics 2026-01-09 N Colantuono , M Ramdan Ferressini , I Zuriguel , DR Parisi , GA Patterson

Local thermal equilibrium generally implies the absence of heat flux within a fluid. We find the relations between a set of thermodynamic variables of a fluid on a general spacetime and those defined on a conformally connected spacetime,…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Bhera Ram , Bibhas Ranjan Majhi

Heat and work are fundamental concepts for thermodynamical systems. When these are scaled down to the quantum level they require appropriate embeddings. Here we show that the dependence of the particle spectrum on system size giving rise to…

Quantum Physics · Physics 2009-11-10 P. Borowski , J. Gemmer , G. Mahler

he necessary and sufficient conditions for a unit time-like vector field to be the unit velocity of a classical ideal gas are obtained. In a recent paper [Coll, Ferrando and S\'aez, Phys. Rev D {\bf 99} (2019)] we have offered a purely…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Joan Josep Ferrando , Juan Antonio Sáez

A magnetic field rotating on the free surface of a ferrofluid layer is shown to induce considerable fluid motion toward the direction the field is rolling. The measured flow velocity i) increases with the square of the magnetic field…

Fluid Dynamics · Physics 2007-05-23 Robert Krauss , Mario Liu , Bert Reimann , Reinhard Richter , Ingo Rehberg

Self-propelled microparticles create flow fields that determine how they interact with surfaces, external flows, and each other. These flow fields fall into distinct classes--pushers, pullers, and neutral swimmers--each exhibiting…

Soft Condensed Matter · Physics 2025-12-25 Lisa Rohde , Gordei Anchutkin , Viktor Holubec , Frank Cichos

An ensemble of classical subsystems interacting with surrounding particles has been considered. In general case, a phase volume of the subsystems ensemble was shown to be a function of time. The evolutional equations of the ensemble are…

Statistical Mechanics · Physics 2015-06-24 S. R. Sharov