Dynamics at Classical Distribution

2019 ◽  
Author(s):  
Relly Victoria Petrescu
Keyword(s):  
Classical Distribution

Probability and Random Processes

2018 ◽  
Author(s):  
Stefan Thurner ◽  
Rudolf Hanel ◽  
Peter Klimekl
Keyword(s):  
Random Processes ◽  
Distribution Functions ◽  
Basic Logic ◽  
Heavy Tailed Distributions ◽  
Random Components ◽  
Classical Distribution ◽  
Heavy Tailed ◽  
Basic Facts ◽  
Stochastic Events ◽  
Stochastic Event

Phenomena, systems, and processes are rarely purely deterministic, but contain stochastic,probabilistic, or random components. For that reason, a probabilistic descriptionof most phenomena is necessary. Probability theory provides us with the tools for thistask. Here, we provide a crash course on the most important notions of probabilityand random processes, such as odds, probability, expectation, variance, and so on. Wedescribe the most elementary stochastic event—the trial—and develop the notion of urnmodels. We discuss basic facts about random variables and the elementary operationsthat can be performed on them. We learn how to compose simple stochastic processesfrom elementary stochastic events, and discuss random processes as temporal sequencesof trials, such as Bernoulli and Markov processes. We touch upon the basic logic ofBayesian reasoning. We discuss a number of classical distribution functions, includingpower laws and other fat- or heavy-tailed distributions.

Phase-space description of a particle in a quartic double-well potential

2014 ◽  
Vol 28 (24) ◽  
pp. 1450164 ◽  
Author(s):  
Adina Ceausu-Velcescu ◽  
Paul Blaise ◽  
Yuri P. Kalmykov
Keyword(s):  
Temperature Limit ◽  
Tunneling Effect ◽  
Quantum Corrections ◽  
Perturbative Approach ◽  
High Temperature Limit ◽  
Second Moments ◽  
Perturbative Method ◽  
Classical Distribution ◽  
Double Well Potential ◽  
Space Description

The stationary Wigner functions (WFs) have been calculated for particles evolving in a quartic double-well potential V(x) = ax2/2+bx4/4(a < 0 and b > 0), at temperature T. In the high temperature limit, the results totally agree with those obtained using Wigner's perturbative method of deriving quantum corrections to the classical distribution function. Comparison with the perturbative approach allows one to establish the range of applicability of the latter. For illustration, the second moments of the position and momentum have been calculated for the double-well potential. Furthermore, the time-evolution of the WFs for a state initially located at one of the wells has been also investigated to show the tunneling effect.

scholarly journals Dynamics of Mechanisms with Cams Illustrated in the Classical Distribution

2017 ◽  
Vol 10 (2) ◽  
pp. 551-567 ◽  
Author(s):  
Relly Victoria Virgil Petrescu ◽  
Raffaella Aversa ◽  
Bilal Akash ◽  
Ronald Bucinell ◽  
Juan Corchado ◽  
...  
Keyword(s):  
Classical Distribution

Classical Distribution Theories

2008 ◽  
pp. 1-8
Author(s):  
Massimo Pivetti
Keyword(s):  
Classical Distribution

scholarly journals Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients

2014 ◽  
Vol 2014 ◽  
pp. 1-17 ◽  
Author(s):  
C. Boiti ◽  
D. Jornet ◽  
J. Juan-Huguet
Keyword(s):  
Differential Operator ◽  
Wave Front ◽  
Partial Differential Operator ◽  
Regularity Theorem ◽  
Wave Front Set ◽  
Open Set ◽  
Wave Front Sets ◽  
Constant Coefficients ◽  
New Type ◽  
Classical Distribution

We introduce the wave front setWF*P(u)with respect to the iterates of a hypoelliptic linear partial differential operator with constant coefficients of a classical distributionu∈𝒟′(Ω)in an open set Ω in the setting of ultradifferentiable classes of Braun, Meise, and Taylor. We state a version of the microlocal regularity theorem of Hörmander for this new type of wave front set and give some examples and applications of the former result.

Thermodynamic derivatives of classical distribution functions

1985 ◽  
Vol 82 (9) ◽  
pp. 4385-4386 ◽  
Author(s):  
J. A. Hernando
Keyword(s):  
Distribution Functions ◽  
Classical Distribution ◽  
Derivatives Of

scholarly journals A Quantum Mechanical Calculation of the Radial Distrbution Function for a Plasma

1968 ◽  
Vol 21 (2) ◽  
pp. 121 ◽  
Author(s):  
AA Barker
Keyword(s):  
Distribution Function ◽  
Radial Distribution Function ◽  
Radial Distribution ◽  
Bound States ◽  
Quantum Mechanical Calculation ◽  
Quantum Mechanical ◽  
Temperature Dependent ◽  
Mechanical Calculation ◽  
Relative Contribution ◽  
Classical Distribution

A quantum mechanical calculation of the radial distribution function g".m.(r) for unlike particles in a hydrogenous plasma is presented. Results for a neutral plasma over a range of temperatures show that gq.m.(r) differs significantly from the corresponding classical distribution function g.(r) = exp(fJel/r) when r is less than a chosen distance r" the value of which is temperature dependent. The effect of shielding, the relative contribution from scattered and bound states, and the relation to percentage ionization are discussed.

scholarly journals Dynamics at Classical Distribution

2019 ◽  
Vol 3 (1) ◽  
pp. 82-101
Author(s):  
Relly Victoria Virgil Petrescu
Keyword(s):  
Classical Distribution

The classical distribution function

2012 ◽  
pp. 7-26
Author(s):  
J. Woods Halley
Keyword(s):  
Distribution Function ◽  
Classical Distribution
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