Results 11 to 20 of about 4,376,819 (306)
On the geometrical representation of classical statistical mechanics [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2018 Abstract In this work, a geometrical representation of equilibrium and near equilibrium classical statistical mechanics is proposed. Within this formalism the equilibrium thermodynamic states are mapped on Euclidian vectors on a manifold of spherical symmetry. This manifold of equilibrium states can be considered as a Gauss map of the
Georgios C., Boulougouris +1 more
openaire +2 more sources
On the Classical Limit of Quantum Mechanics [PDF]
, 2008 Contrary to the widespread belief, the problem of the emergence of classical mechanics from quantum mechanics is still open. In spite of many results on the ¯h → 0 asymptotics, it is not yet clear how to explain within standard quantum mechanics the ...
Allori, Valia, Zanghi, Nino
core +1 more source
Phase Space Cell in Nonextensive Classical Systems
Entropy, 2003 : We calculate the phase space volume Ω occupied by a nonextensive system of N classical particles described by an equilibrium (or steady-state, or long-term stationary state of a nonequilibrium system) distribution function, which slightly deviates ...
Piero Quarati, Francesco Quarati
doaj +1 more source
A symplectic integrator for molecular dynamics on a hypersphere
Condensed Matter Physics, 2020 We present a reversible and symplectic algorithm called ROLL, for integrating the equations of motion in molecular dynamics simulations of simple fluids on a hypersphere Sd of arbitrary dimension d. It is derived in the framework of geometric algebra and
J.-M. Caillol
doaj +1 more source
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 One of modern approaches to a problem of the coordination of classical mechanics and the statistical physics - the functional mechanics is considered.
Andrey I Mikhailov
doaj +3 more sources
The Phase Space Elementary Cell in Classical and Generalized Statistics
Entropy, 2013 In the past, the phase-space elementary cell of a non-quantized system was set equal to the third power of the Planck constant; in fact, it is not a necessary assumption. We discuss how the phase space volume, the number of states and the elementary-cell
Piero Quarati, Marcello Lissia
doaj +1 more source
Spin and statistics in classical mechanics [PDF]
American Journal of Physics, 2004 The spin–statistics connection is obtained for classical particles. The connection holds within pseudomechanics, a theory of particle motion that extends classical physics to include anticommuting Grassmann variables, and that exhibits classical analogs of both spin and statistics.
openaire +2 more sources
Setting Boundaries for Statistical Mechanics
Molecules, 2022 Statistical mechanics has grown without bounds in space. Statistical mechanics of noninteracting point particles in an unbounded perfect gas is widely used to describe liquids like concentrated salt solutions of life and electrochemical technology ...
Bob Eisenberg
doaj +1 more source
Justifying Typicality Measures of Boltzmannian Statistical Mechanics and Dynamical Systems [PDF]
, 2013 A popular view in contemporary Boltzmannian statistical mechanics is to interpret the measures as typicality measures. In dynamical systems theory measures can similarly be interpreted as typicality measures.
Werndl, Charlotte
core +1 more source
Basis of Local Approach in Classical Statistical Mechanics
Entropy, 2005 : An ensemble of classical subsystems interacting with surrounding particles has been considered. In general case, a phase volume of the subsystems ensemble was shown to be a function of time.
Sergey R. Sharov
doaj +1 more source