Results 221 to 230 of about 27,391 (258)

Statistical Mechanics of Hard-Particle Systems

The Journal of Chemical Physics, 1968
The concept of the equivalence of a hard particle (depending on the number of dimensions: hard sphere, disk, or rod, with no attractive interaction) of diameter a in a system of hard particles, and a spherical cavity of radius at least a, is extended to define distribution functions, γn(r1, ···rn), for sets of n cavities in a hard-particle system.
Emmanuel Meeron, Arnold J. F. Siegert
openaire   +1 more source

On a Probabilistic Model of Infinite Quantum Mechanical Particle Systems

Mathematische Nachrichten, 1985
AbstractThe usual formulation of quantum mechanics with help of the SCHRÖDINGER equation is possible only for systems with a finite number of particles. In the present paper we propose a new formulation in terms of random point processes which is applicable without any mathematical changes both for finite and for infinite particle systems. Up to now it
Fichtner, Karl-Heinz, Freudenberg, Wolfgang   +1 more
openaire   +2 more sources

Mechanics of Many-Particle Systems

2016
The most real physical systems are composed of many single particles which are influencing each other, i.e. interacting with each other. Think of the atoms of a solid, of a several-atom molecule, of the planetary system of the sun, …. Normally it is inexpedient or even impossible to consider separately the equation of motion for each of the mass points
openaire   +1 more source

Mechanical Force Fields in a Clay Mineral Particle System

Clays and Clay Minerals, 1966
AbstractElectrical double layer theory is used to analyze an idealized model unit of a clay particle system with the purpose of describing the mechanical stability in terms of an equilibrium of attractive and repulsive forces. Restricting the analysis to two dimensions, a symmetrical parallelogram formed by four typical clay mineral particles is taken ...
E.C.W.A. GEUZE, PETER M. REBULL
openaire   +1 more source

The mechanics and control for multi-particle systems

Journal of Physics A: Mathematical and General, 1998
Summary: This paper deals with the mechanics and control for multi-particle systems from a geometric point of view. The centre-of-mass system is viewed as a principal fibre bundle with structure group \(SO(3)\), the base space of which is called the internal or shape space.
openaire   +1 more source

Hamiltonian Mechanics of Discrete Particle Systems

1994
In the previous chapter, we discussed briefly the fundamental nature of the symplectic structure of theories in optics in order to illustrate the underlying uniformity, physical consistency, and mathematical simplicity inherent to a symplectic mathematical formulation of the governing equations.
Antony N. Beris, Brian J. Edwards
openaire   +1 more source

Classical and Quantum Mechanics of Particle Systems

1996
In this book we will develop the quantum-theoretical description of systems which can be described in terms of a field theory. Starting from the framework of classical physics, the concept of a field at first might evoke ideas about macroscopic systems, for example velocity fields or temperature fields in fluids and gases, etc. Fields of this kind will
Walter Greiner, Joachim Reinhardt
openaire   +1 more source

Micro-mechanics and dynamics of cohesive particle systems

Granular Matter, 2013
Cohesiveparticlesystemsareubiquitousinnatureandindus-trial applications. Besides the ordinary repulsive interactionbetweenparticles,themacroscopicbehaviorofcohesivesys-tems is determined by attractive interactions between parti-cles, such as van der Waals forces, liquid bridges and elec-trostatics.Much insight in the dynamics of cohesive granular mate ...
Wu, C-Y, Poeschel, T
openaire   +3 more sources

A review of de Broglie particle–wave mechanical systems

Mathematics and Mechanics of Solids, 2020
The existence of the so-called ‘dark’ issues of mechanics implies that our present accounting for mass and energy is incorrect in terms of applicability on a cosmological scale, and the question arises as to where the difficulty might lie. The phenomenon of quantum entanglement indicates that systems of particles exist that individually display certain
openaire   +2 more sources

Statistical Mechanics of Many-Particle Systems

2002
Statistical mechanics is the branch of theoretical physics that attempts to predict, by starting at the level of atoms, molecules, spins, or other small “particles,” the bulk properties of systems in which a large number of these particles interact with one another.
openaire   +1 more source