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The relationship between mathematics and physics has long been an area of interest and speculation. Subscribing to the recent definition by Tegmark, we present a mathematical structure involving the only division rings - the real,…

General Physics · Physics 2009-08-17 Lester C. Welch

Implication logic gates that are based on volatile memristors are demonstrated experimentally with the use of relay-based volatile memristor emulators of an original design. The fabricated logic circuit involves two volatile memristors and…

Emerging Technologies · Computer Science 2019-09-18 Y. V. Pershin

The building blocks of Nature, namely atoms and elementary particles, are described by quantum mechanics. This fundamental theory is the ground on which physicists have built their major mathematical models [1]. Today, the unique features…

Some features of hydro- and thermodynamics, as applied to atmospheres and to stellar structures, are puzzling: 1. The suggestion, first made by Laplace, that our atmosphere has an adiabatic temperature distribution, is confirmed for the…

Fluid Dynamics · Physics 2008-05-30 Christian Fronsdal

The well-known two-capacitor problem, in which exactly half the stored energy disappears when a charged capacitor is connected to an identical capacitor is discussed based on the mechanical harmonic oscillator model approach. In the…

Classical Physics · Physics 2012-10-17 Keeyung Lee

An equation for the reduced density matrix which describes a free particle, that is interacting with a linearly dissipative medium, is derived using the total Hamiltonian, and without resorting to any artificial model. A Master equation is…

Statistical Mechanics · Physics 2007-05-23 W. H. Richardson

We consider state changes in quantum theory due to "conditional action" and relate these to the discussion of entropy decrease due to interventions of "intelligent beings" and the principles of Szilard and Landauer/Bennett. The mathematical…

Quantum Physics · Physics 2021-03-02 Heinz-Jürgen Schmidt

When a thermally isolated system performs a driving process in the quasistatic regime, its variation of average energy is equal to its quasistatic work. Even though presenting this simple definition, few attempts have been made to describe…

Statistical Mechanics · Physics 2025-02-17 Pierre Nazé

In this work a finite element simulation of the motion of a rigid body in a fluid, with free surface, is described. A completely general referential description (of which both Lagrangian and Eulerian descriptions are special cases) of an…

Fluid Dynamics · Physics 2015-06-26 S. J. Childs , B. D. Reddy

In references cond-mat/9907171 and cond-mat/9606206 (Phys.Rev.B.53, 4927 (1996)) by You-Quan Li and Bin Chen, was considered a mesoscopic LC circuit with charge discreteness. So, it was proposed a finite difference Schroedinger equation for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. C. Flores

We propose a unified approach to addition of some physical quantities (among which resistors and capacitors are the most well-known) that are usually encountered in introductory physics such that the formulae required to solve problems are…

Physics Education · Physics 2007-05-23 C. J. Efthimiou , R. A. Llewellyn

A system of drift-diffusion equations for the electron, hole, and oxygene vacancy densities in a semiconductor, coupled to the Poisson equation for the electric potential, is analyzed in a bounded domain with mixed Dirichlet-Neumann…

Analysis of PDEs · Mathematics 2022-04-08 Clément Jourdana , Ansgar Jüngel , Nicola Zamponi

Thermodynamics is usually formulated on the presumption that the observer has complete information about the system he/she deals with: no parasitic current, exact evaluation of the forces that drive the system. For example, the acclaimed…

Statistical Mechanics · Physics 2017-12-15 Matteo Polettini , Massimiliano Esposito

Concept of inertial mass is not well defined in physics. For defining inertial mass of a particle we need to know its acceleration under some force in an inertial reference frame, which itself is defined by the motion of its background…

General Relativity and Quantum Cosmology · Physics 2015-02-17 Santanu Das

Active particles contain internal degrees of freedom with the ability to take in and dissipate energy and, in the process, execute systematic movement. Examples include all living organisms and their motile constituents such as molecular…

Soft Condensed Matter · Physics 2015-05-18 Sriram Ramaswamy

Interacting and open quantum systems can be formulated in terms of an effective non-Hermitian Hamiltonian (NHH), however, there are important constraints that must be satisfied by the effective action and the associated Green's functions.…

Quantum Physics · Physics 2026-05-22 Aaron Kleger , Rufus Boyack

We illustrate recent results concerning the validity of the work fluctuation theorem in open quantum systems [M. Campisi, P. Talkner, and P. H\"{a}nggi, Phys. Rev. Lett. {\bf 102}, 210401 (2009)], by applying them to a solvable model of an…

Statistical Mechanics · Physics 2009-09-14 Michele Campisi , Peter Talkner , Peter Hänggi

This monograph introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fundamental physics. The theory yields quantum mechanics, general relativity and quantum field theory as limiting…

Mathematical Physics · Physics 2018-10-12 Felix Finster

A general quantum theory encompassing Mechanics, Thermodynamics and irreversible dynamics is presented in two parts. The first part is concerned exclusively with the description of the states of any individual physical system. It is based…

Quantum Physics · Physics 2007-05-23 Gian Paolo Beretta

In this paper, Non-Equilibrium Steady State induced by electric field and the conductivity of non-interacting fermion systems under the dissipative dynamics is discussed. The dissipation is taken into account within a framework of the…

Mathematical Physics · Physics 2020-12-02 Kazuki Yamaga