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Today's textbooks of electromagnetism give the particular solution to Maxwell's equations involving the integral over the charge and current sources at retarded times. However, the texts fail to emphasize the role played by the choice of…

Classical Physics · Physics 2016-09-05 Timothy H. Boyer

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

Two different physical systems are said to be thermodynamically equiv- alent if one of the thermodynamic potentials of the first system is pro- portional to the corresponding potential of the second system after expressing the state…

Statistical Mechanics · Physics 2015-06-04 Salvino Ciccariello

Several aspects of the theory of the coexistence of phases and equilibrium forms are discussed. In section 1, the problem is studied from the point of view of thermodynamics. In section 2, the statistical mechanical theory is introduced. We…

Statistical Mechanics · Physics 2012-06-20 Salvador Miracle-Sole

We consider an interface with surface tension that separates a perfectly conducting inviscid fluid from a vacuum. The fluid flow is governed by the equations of ideal compressible magnetohydrodynamics (MHD), while the electric and magnetic…

Analysis of PDEs · Mathematics 2024-09-24 Yuri Trakhinin

This work presents a concise theoretical and computational framework for the finite element formulation of frictional contact problems with arbitrarily large deformation and sliding. The aim of this work is to extend the contact theory…

Computational Engineering, Finance, and Science · Computer Science 2019-04-03 Thang X. Duong , Roger A. Sauer

The temperature of a physical system is operationally defined in physics as "that quantity which is measured by a thermometer" weakly coupled to, and at equilibrium with the system. This definition is unique only at global equilibrium in…

Statistical Mechanics · Physics 2020-01-08 Daochi Zhang , Xiao Zheng , Massimiliano Di Ventra

We revisit the sharp-interface continuum thermodynamics of two-phase multicomponent fluid systems with interfacial mass. Since the published work is not fully consistent, we provide a rigorous derivation of the local balance equations and…

Fluid Dynamics · Physics 2022-08-15 Dieter Bothe

The morphology of interfaces is known to play fundamental role on the efficiency of energy-related applications, such light harvesting or ion intercalation. Altering the morphology on demand, however, is a very difficult task. Here, we show…

Chemical Physics · Physics 2020-05-20 Dimitrios Fraggedakis , Martin Z. Bazant

Electrical charges generation occurring during contact and friction of insulating materials has been identified for a long time. However the contribution of these electrical charges to the friction behaviour is usually neglected in the…

Classical Physics · Physics 2007-07-19 Christelle Guerret-Piecourt , Sandrine Bec , Daniel Treheux

The characteristics of the hadron-to-quark first-order phase transition differ depending on whether charge neutrality is locally or globally fulfilled. In $\beta$-equilibrated matter, these two possibilities correspond to the Maxwell and…

Nuclear Theory · Physics 2025-12-10 Constantinos Constantinou , Mirco Guerrini , Tianqi Zhao , Sophia Han , Madappa Prakash

We look at the wetting of a pure fluid in contact with a charged flat surface. In the bulk, the fluid is a classical van der Waals fluid containing dissociated ions. The presence of wall and ions leads to strong dielectrophoretic and…

Statistical Mechanics · Physics 2021-11-16 Yoav Tsori

For a class of nonequilibrium systems, called driven lattice gases, we study what happens when two systems are kept in contact and allowed to exchange particles with the total number of particles conserved. Both for attractive and repulsive…

Statistical Mechanics · Physics 2011-10-13 Punyabrata Pradhan , Robert Ramsperger , Udo Seifert

A communication theory for a transmitter broadcasting to many receivers is presented. In this case energetic considerations cannot be neglected as in Shannon theory. It is shown that, when energy is assigned to the information bit,…

Information Theory · Computer Science 2007-07-16 Oded Kafri

A central goal of modern materials physics and nanoscience is control of materials and their interfaces to atomic dimensions. For interfaces between polar and non-polar layers, this goal is thwarted by a polar catastrophe that forces an…

Materials Science · Physics 2007-05-23 Naoyuki Nakagawa , Harold Y. Hwang , David A. Muller

We consider the thermodynamic properties of systems in contact with an information source and focus on the consequences of energetic cost associated with the exchange of information. To this end we introduce the model of a thermal tape and…

Statistical Mechanics · Physics 2015-06-18 Johannes Hoppenau , Andreas Engel

The zeroth law of thermodynamics involves a transitivity relation (pairwise between three objects) expressed either in terms of `equal temperature' (ET), or `in equilibrium' (EQ) conditions. In conventional thermodynamics conditional on…

Statistical Mechanics · Physics 2021-04-21 Jen-Tsung Hsiang , Bei-Lok Hu

The statistical mechanics of equilibrium interfaces has been well-established for over a half century. In the last decade, a wealth of observations have made increasingly clear that a new perspective is required to describe interfaces…

Soft Condensed Matter · Physics 2025-04-21 Luke Langford , Ahmad K. Omar

Effective interface conditions for a periodically voided thin layer separating two homogeneous bulk regions are derived for the elastic wave equation by taking the simultaneous limit of vanishing layer periodicity and layer thickness. The…

Analysis of PDEs · Mathematics 2026-03-30 Markus Gahn , Tanja Lochner , Malte A. Peter

We consider the time-harmonic Maxwell's equations with a polarization interface condition. The interface condition demands that one component of the electric field vanishes at the interface and that the corresponding component of the…

Analysis of PDEs · Mathematics 2025-07-28 Bérangère Delourme , Ben Schweizer , David Wiedemann