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Systems of particles interacting through a screened Coulomb potential of the Debye-Yukawa form are considered. The pressure is obtained from the stress tensor of the field corresponding to the Yukawa interaction, by a suitable statistical…

Statistical Mechanics · Physics 2007-05-23 B. Jancovici

A pinned or free-floating rigid plate lying on the free surface of a thin film of viscous fluid, which itself lies on top of a horizontal substrate that is moving to the right at a constant speed is considered. The focus of the present work…

Classical Physics · Physics 2022-09-07 Philippe H. Trinh , Stephen K. Wilson , Howard A. Stone

There has been long-standing debate about the physical state and possible phase transformations of confined liquids. In this report we show that a model confined liquid can behave both as a Newtonian liquid with very little change in its…

Soft Condensed Matter · Physics 2007-05-23 Shivprasad Patil , George Matei , Ahmet Oral , Peter M. Hoffmann

Exposing a solution to a temperature gradient can lead to the accumulation of particles on either the cold or warm side. This phenomenon, known as thermophoresis, has been discovered more than a century ago, and yet its microscopic origin…

Statistical Mechanics · Physics 2023-01-02 Shiling Liang , Daniel Maria Busiello , Paolo De Los Rios

We study the effective forces acting between colloidal particles trapped at a fluid interface which itself is exposed to a pressure field. To this end we apply what we call the ``force approach'', which relies solely on the condition of…

Soft Condensed Matter · Physics 2008-03-31 Alvaro Dominguez , Martin Oettel , Siegfried Dietrich

Long-ranged correlations generically exist in non-equilibrium fluid systems. In the case of a non-equilibrium steady state caused by a temperature gradient the correlations are especially long-ranged and strong. The anomalous light…

Statistical Mechanics · Physics 2016-11-23 T. R. Kirkpatrick , J. R. Dorfman , J. V. Sengers

Microscopic swimming particles, which dissipate energy to execute persistent directed motion, are a classic example of a non-equilibrium system. We investigate the non-interacting Ornstein--Uhlenbeck Particle (OUP), which is propelled…

Soft Condensed Matter · Physics 2018-04-09 Cato Sandford , Alexander Y. Grosberg , Jean-François Joanny

Molecular clouds are supported by thermal pressure, magnetic pressure, and turbulent pressure. Each of these can be modeled with a polytropic equation of state, so that overall the total pressure is the sum of the individual components. We…

Astrophysics · Physics 2012-08-27 Christopher F. McKee , John H. Holliman , II

We study long-range interacting systems perturbed by external stochastic forces. Unlike the case of short-range systems, where stochastic forces usually act locally on each particle, here we consider perturbations by external stochastic…

Statistical Mechanics · Physics 2013-12-04 Cesare Nardini , Shamik Gupta , Stefano Ruffo , Thierry Dauxois , Freddy Bouchet

There are several definitions of energy density in quantum mechanics. These yield expressions that differ locally, but all satisfy a continuity equation and integrate to the value of the expected energy of the system under consideration.…

Quantum Physics · Physics 2023-06-29 Francisco Torres Arvizu , Adrian Ortega , Hernán Larralde

Colloidal systems are often modelled as fluids of hard particles (possibly with an additional soft attraction, e.g. caused by polymers also contained in the suspension). in simulations of such systems, the virial theorem cannot be…

Soft Condensed Matter · Physics 2015-05-30 Debabrata Deb , Dorothea Wilms , Alexander Winkler , Peter Virnau , Kurt Binder

We study the force that non-interacting point-like active particles apply to a symmetric inert object in the presence of a gradient of activity and particle sources and sinks. We consider two simple patterns of sources and sinks that are…

Statistical Mechanics · Physics 2018-03-06 Nitzan Razin , Raphael Voituriez , Jens Elgeti , Nir S. Gov

Correlations in fluids in nonequilibrium steady states are long ranged. Hence, finite-size effects have important consequences in the nonequilibrium thermodynamics of fluids. One consequence is that nonequilibrium temperature fluctuations…

Statistical Mechanics · Physics 2014-03-05 T. R. Kirkpatrick , J. M. Ortiz de Zárate , J. V. Sengers

We calculate and verify with simulations the ratio between the average translational and rotational energies of systems with rough, inelastic particles, either forced or freely cooling. The ratio shows non-equipartition of energy. In…

Statistical Mechanics · Physics 2009-10-31 S. McNamara , S. Luding

The statistical mechanical description of small systems staying in thermal equilibrium with an environment can be achieved by means of the Hamiltonian of mean force. In contrast to the reduced density matrix of an open quantum system, or…

Statistical Mechanics · Physics 2020-10-28 Peter Talkner , Peter Hänggi

Dry granular materials consist of a vast ensemble of discrete solid particles, interacting through complex frictional forces at the contact points. The particles are so large that these systems are believed to be completely athermal. Here,…

Soft Condensed Matter · Physics 2024-01-17 Kasra Farain , Daniel Bonn

Power law is one of the the simplest forms of the relationship between different variables of a system. It leads naturally to the introduction of compound parameters describing physical properties of the system. Often one of the variables…

Materials Science · Physics 2007-05-23 Alexander M. Korsunsky

This paper is devoted to the study of induced topological pressure, including both classical and nonlinear cases. For the classical induced topological pressure, we investigate equilibrium states, subdifferential and freezing states, while…

Dynamical Systems · Mathematics 2025-07-11 Wenhui Ma , Yun Zhao , Hanjing Zhu

We review the inherent structure thermodynamical formalism and the formulation of an equation of state for liquids in equilibrium based on the (volume) derivatives of the statistical properties of the potential energy surface. We also show…

Soft Condensed Matter · Physics 2009-11-07 S. Mossa , E. La Nave , P. Tartaglia , F. Sciortino

We prove three exact sum rules that relate the polarization of active Brownian particles to their one-body current: (i) The total polarization vanishes, provided that there is no net flux through the boundaries, (ii) at any planar wall the…

Statistical Mechanics · Physics 2020-06-01 Sophie Hermann , Matthias Schmidt