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A process-theoretic approach to electrodynamics based on persistent Kac-type stochastic processes is developed. Finite-velocity stochastic propagation is taken as primary, while relativistic wave equations arise as emergent descriptions…

Quantum Physics · Physics 2026-05-26 Partha Ghose

In article the following tasks on computer modeling of electric fields are analyzed: 1) calculation of distribution of potential for the field created by two parallel plates and charged bodies in the non-uniform environment; 2) calculation…

Other Computer Science · Computer Science 2013-12-16 Robert V Mayer

Superstatistics is a superposition of two different statistics relevant for driven nonequilibrium systems with a stationary state and intensive parameter fluctuations. It contains Tsallis statistics as a special case. After briefly…

Statistical Mechanics · Physics 2009-11-10 Christian Beck

In the study of colloidal, biological and electrochemical systems, it is customary to treat surfaces, macromolecules and electrodes as homogeneously charged. This simplified approach is proven successful in most cases, but fails to describe…

Soft Condensed Matter · Physics 2022-08-04 Ram M. Adar , David Andelman , Haim Diamant

Dynamical equations describing physical systems at statistical equilibrium are commonly extended by mathematical tools called "thermostats". These tools are designed for sampling ensembles of statistical mechanics. We propose a dynamic…

Data Analysis, Statistics and Probability · Physics 2018-01-17 A. Samoletov , B. Vasiev

The recent discovery of electro-active polymers has shown great promises in the field of soft robotics, and was logically followed by experimental, numerical and theoretical developments. Most of these studies were concerned with systems…

Soft Condensed Matter · Physics 2020-12-07 Hadrien Bense , Benoît Roman , Bruno Andreotti

Analogies between mechanical and electrical systems have been developed and applied for almost a century, and they have proved their usefulness in the study of mechanical and electrical systems. The development of new elements such as the…

Systems and Control · Electrical Eng. & Systems 2020-09-03 Javier López-Martínez , Javier Martínez , Daniel García-Vallejo , Alfredo Alcayde , Francisco G. Montoya

Electrostatic correlations play an important role in physics, chemistry and biology. In plasmas they lead to thermodynamic instability similar to the liquid-gas phase transition of simple molecular fluids. For charged colloidal suspensions…

Soft Condensed Matter · Physics 2009-11-07 Yan Levin

Total energy electronic structure calculations, based on density functional theory or on the more empirical tight binding approach, are generally believed to scale as the cube of the number of electrons. By using the localisaton property of…

Materials Science · Physics 2009-11-11 Florian R. Krajewski , Michele Parrinello

We give a bird's-eye view of the plastic deformation of crystals aimed at the statistical physics community, and a broad introduction into the statistical theories of forced rigid systems aimed at the plasticity community. Memory effects in…

A new variational method for studying the equilibrium states of an interacting particles system has been proposed. The statistical description of the system is realized by means of a density matrix. This method is used for description of…

General Physics · Physics 2014-12-19 Boris Bondarev

In statistical mechanics, measuring the number of available states and their probabilities, and thus the system's entropy, enables the prediction of the macroscopic properties of a physical system at equilibrium. This predictive capacity…

Statistical Mechanics · Physics 2023-12-14 Mathias Casiulis , Stefano Martiniani

Continuum solvation methods can provide an accurate and inexpensive embedding of quantum simulations in liquid or complex dielectric environments. Notwithstanding a long history and manifold applications to isolated systems in open boundary…

Materials Science · Physics 2014-12-02 Oliviero Andreussi , Nicola Marzari

This thesis is dedictaed to the study of fluctuation and correlation observables of hadronic equilibrium systems. The statistical hadronization model of high energy physics, in its ideal, i.e. non-interacting, gas approximation will be…

Nuclear Theory · Physics 2010-08-13 Michael Hauer

Electrostatic theory preserves charges, but allows dipolar excitations. Elasticity theory preserves dipoles, but allows quadrupolar (Eshelby like) plastic events. Charged amorphous granular systems are interesting in their own right; here…

Soft Condensed Matter · Physics 2020-05-13 Prasenjit Das , H. George E. Hentschel , Itamar Procaccia

The problem of quantum harmonic oscillator with "regular+random" square frequency, subjected to "regular+random external force, is considered in framework of representation of the wave function by complex-valued random process. Average…

Quantum Physics · Physics 2007-05-23 A. S. Gevorkyan , A. A. Udalov

We present an application of the theory of stochastic processes to model and categorize non-equilibrium physical phenomena. The concepts of uniformly continuous probability measures and modular evolution lead to a systematic hierarchical…

Mathematical Physics · Physics 2009-08-18 Enrique Hernandez-Lemus , Jesus K. Estrada-Gil

We derive an equilibrium statistical theory for the macroscopic description of a ferromagnetic material at positive finite temperatures. Our formulation describes the most-probable equilibrium macrostates that yield a coherent deterministic…

Materials Science · Physics 2007-05-23 Markos A. Katsoulakis , Petr Plechac

Recent progress in approaches to determine the elastic constants of solids starting from the microscopic particle interactions is reviewed. On the theoretical side, density functional theory approaches are discussed and compared to more…

Statistical Mechanics · Physics 2013-01-07 Matthias Fuchs

We review theoretical results obtained recently in the framework of statistical mechanics to study systems with long range forces. This fundamental and methodological study leads us to consider the different domains of applications in a…

Statistical Mechanics · Physics 2008-11-26 Thierry Dauxois , Stefano Ruffo , Ennio Arimondo , Martin Wilkens