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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…

统计力学 · 物理学 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…

材料科学 · 物理学 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,…

度量几何 · 数学 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…

统计力学 · 物理学 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…

经典物理 · 物理学 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…

超导电性 · 物理学 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…

统计力学 · 物理学 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…

统计力学 · 物理学 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…

计算物理 · 物理学 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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 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…

统计力学 · 物理学 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…

凝聚态物理 · 物理学 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…

凝聚态物理 · 物理学 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…

软凝聚态物质 · 物理学 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…

经典物理 · 物理学 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…

其他凝聚态物理 · 物理学 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…

流体动力学 · 物理学 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…

介观与纳米尺度物理 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 2011-09-28 Gabriel Abreu , Matt Visser