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The simplest statistical mechanics model of a Coulomb plasma in two spatial dimensions admits an exact analytic solution at some special temperature in several (curved) surfaces. We present in a unifying perspective these solutions for the…

Statistical Mechanics · Physics 2020-07-21 Riccardo Fantoni

A new solution to the mono-dimensional diffusion equation for time-variable first kind boundary condition is presented where the time-variable function at the surface is derived proposing a surface saturation model. This solution may be…

Materials Science · Physics 2022-12-08 Guglielmo Macrelli

We present a method to obtain upper bounds on covering numbers. As applications of this method, we reprove and generalize results of Rogers on economically covering Euclidean $n$-space with translates of a convex body, or more generally,…

Metric Geometry · Mathematics 2015-10-12 Márton Naszódi

Even though the study of interfacial phenomena dates back to Laplace and was formalised by Gibbs, it appears that some concepts and relations among them are still causing some confusion and debates in the literature, particularly for…

Statistical Mechanics · Physics 2020-03-30 Nicodemo Di Pasquale , Ruslan L. Davidchack

A sponge subjected to an increase of the outside fluid pressure expands its volume but nearly mantains its true density and thus gives way to an increase of the interstitial volume. This behaviour, not yet properly described by solid-fluid…

Classical Physics · Physics 2010-07-13 Giulio Sciarra , Francesco dell'Isola , Kolumban Hutter

We derive the energy of the surface between the normal and superfluid components of a mixed phase of a system composed of two particle species with different densities. The surface energy is obtained by the integration of the free energy…

Superconductivity · Physics 2009-11-11 Heron Caldas

The entropic pressure in the vicinity of a two dimensional square lattice polygon is examined as a model of the entropic pressure near a planar ring polymer. The scaling of the pressure as a function of distance from the polygon and length…

Statistical Mechanics · Physics 2015-06-16 F. Gassoumov , E. J. Janse van Rensburg

The problem of surface effects at a fluid boundary created by the force field of finite value is investigated. A classical simple fluid with a locally introduced field imitating a permeable solid is considered. The cases of micro- and…

Statistical Mechanics · Physics 2011-12-09 V. M. Zaskulnikov

Surface tension has a strong influence on the shape of fluid interfaces. We propose a method to calculate the corresponding forces efficiently. In contrast to several previous approaches, we discriminate to this end between surface and…

Computational Physics · Physics 2019-12-05 Fernando Zorrilla , Johannes Sappl , Wolfgang Rauch , Matthias Harders

We consider the surface pressure of a colloid-laden liquid interface. As micron-sized particles of suitable wettability can be irreversibly bound to the liquid interface on experimental timescales, we use the canonical ensemble to derive an…

Soft Condensed Matter · Physics 2022-03-07 R. Mears , I. Muntz , J. H. J. Thijssen

We study the adsorption of homogeneous or heterogeneous polymers onto heterogeneous planar surfaces with exponentially decaying site-site correlations, using a variational reference system approach. As a main result, we derive simple…

Soft Condensed Matter · Physics 2009-11-11 Alexey Polotsky , Friederike Schmid , Andreas Degenhard

We examine the performance of several molecular simulation techniques aimed at evaluation of the surface tension through its thermodynamic definition. For all methods explored, the surface tension is calculated by approximating the change…

Statistical Mechanics · Physics 2009-11-13 Jeffrey R. Errington , David A. Kofke

It is shown that surface of a liquid consisting of several interpenetrating superfluids becomes unstable at some threshold. We demonstrate that the criterion for the onset of the instability changes in the presence of dissipative…

Condensed Matter · Physics 2009-11-10 D. A. Abanin

We introduce a novel method for numerical spin glass investigations: Simulations of two replica at fixed temperature, weighted such that a broad distribution of the Parisi overlap parameter $q$ is achieved. Canonical expectation values for…

Condensed Matter · Physics 2009-01-23 Bernd A. Berg , Wolfhard Janke

The equilibrium contact angle of a droplet resting on a solid substrate can reveal essential properties of the solid's surface. However, when the motion of a droplet on a surface shows significant hysteresis, it is generally accepted that…

Soft Condensed Matter · Physics 2021-07-14 Jin Young Kim , Stefanie Heyden , Dominic Gerber , Nicolas Bain , Eric R. Dufresne , Robert W. Style

A closed-form expression is obtained for the density of a simple layer, equipotential to an oblate level ellipsoid of revolution in an outer space. The potential of any level spheroid of positive mass with the inward direction of attracting…

Classical Physics · Physics 2022-06-06 Danila V. Milanov

The above comment http://dx.doi.org/10.1088/0953-8984/22/42/428001 and a previous letter by the same author reveal a great misunderstanding of what Eulerian and Lagrangian quantities are, and a confusion between the deformation of an…

Other Condensed Matter · Physics 2019-07-04 Juan Olives

We construct a novel model for the steady-state contact angles of liquid droplets at the wetted substrate. The non-removable, thin liquid film covering the substrate is governed by the intermolecular forces between molecules of liquid and…

Fluid Dynamics · Physics 2022-10-19 Leonid Pekker , David Pekker , Nikolai Petviashvili

We study entanglement spectra of gapped states on the surfaces of symmetry-protected topological phases. These surface states carry anomalies that do not allow them to be terminated by a trivial state. Their entanglement spectra are…

Mesoscale and Nanoscale Physics · Physics 2022-10-04 Arjun Dey , David F. Mross

In any static spacetime the quasilocal Tolman mass contained within a volume can be reduced to a Gauss-like surface integral involving the flux of a suitably defined generalized surface gravity. By introducing some basic thermodynamics, and…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Gabriel Abreu , Matt Visser
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