scholarly journals Phase Space Cell in Nonextensive Classical Systems

Entropy ◽  
2003 ◽  
Vol 5 (2) ◽  
pp. 239-251 ◽  
Author(s):  
Francesco Quarati ◽  
Piero Quarati
Keyword(s):  
Phase Space ◽  
Classical Systems ◽  
Space Cell

Improving cubic EOSS near the critical point by a phase-space cell approximation

AIChE Journal ◽  
1999 ◽  
Vol 45 (4) ◽  
pp. 906-915 ◽  
Author(s):  
Francesco Fornasiero ◽  
Leo Lue ◽  
Alberto Bertucco
Keyword(s):  
Phase Space ◽  
Critical Point ◽  
Space Cell

scholarly journals Phase space theory of quantum–classical systems with nonlinear and stochastic dynamics

2014 ◽  
Vol 343 ◽  
pp. 16-26 ◽  
Author(s):  
Nikola Burić ◽  
Duška B. Popović ◽  
Milan Radonjić ◽  
Slobodan Prvanović
Keyword(s):  
Phase Space ◽  
Stochastic Dynamics ◽  
Space Theory ◽  
Classical Systems ◽  
Phase Space Theory

DEFORMATION QUANTIZATION FOR COUPLED HARMONIC OSCILLATORS ON A GENERAL NONCOMMUTATIVE SPACE

2008 ◽  
Vol 23 (06) ◽  
pp. 445-456 ◽  
Author(s):  
BINGSHENG LIN ◽  
SICONG JING ◽  
TAIHUA HENG
Keyword(s):  
Phase Space ◽  
Deformation Quantization ◽  
Harmonic Oscillators ◽  
Energy Spectra ◽  
Noncommutative Space ◽  
Wigner Functions ◽  
Noncommutative Phase Space ◽  
Classical Systems ◽  
Coupled Harmonic Oscillators ◽  
Special Cases

Deformation quantization is a powerful tool to quantize some classical systems especially in noncommutative space. In this work we first show that for a class of special Hamiltonian one can easily find relevant time evolution functions and Wigner functions, which are intrinsic important quantities in the deformation quantization theory. Then based on this observation we investigate a two-coupled harmonic oscillators system on the general noncommutative phase space by requiring both spatial and momentum coordinates do not commute each other. We derive all the Wigner functions and the corresponding energy spectra for this system, and consider several interesting special cases, which lead to some significant results.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Calculation of structure images of crystalline defects

1978 ◽  
Vol 36 (1) ◽  
pp. 282-283
Author(s):  
M.A. O'Keefe ◽  
Sumio Iijima
Keyword(s):  
Diffuse Scattering ◽  
Computing Time ◽  
Continuous Distribution ◽  
Sampling Interval ◽  
Reciprocal Space ◽  
Objective Lens ◽  
Lattice Images ◽  
Slice Method ◽  
Space Cell ◽  
Beam Lattice

We have extended the multi-slice method of computating many-beam lattice images of perfect crystals to calculations for imperfect crystals using the artificial superlattice approach. Electron waves scattered from faulted regions of crystals are distributed continuously in reciprocal space, and all these waves interact dynamically with each other to give diffuse scattering patterns.In the computation, this continuous distribution can be sampled only at a finite number of regularly spaced points in reciprocal space, and thus finer sampling gives an improved approximation. The larger cell also allows us to defocus the objective lens further before adjacent defect images overlap, producing spurious computational Fourier images. However, smaller cells allow us to sample the direct space cell more finely; since the two-dimensional arrays in our program are limited to 128X128 and the sampling interval shoud be less than 1/2Å (and preferably only 1/4Å), superlattice sizes are limited to 40 to 60Å. Apart from finding a compromis superlattice cell size, computing time must be conserved.

Sign in / Sign up

Export Citation Format

Share Document