Kinetic description of a fluidized one-dimensional granular system

1999 ◽  
Vol 59 (1) ◽  
pp. 656-664 ◽  
Author(s):  
Rosa Ramírez ◽  
Patricio Cordero
Keyword(s):  
Granular System ◽  
Kinetic Description ◽  
One Dimensional

Id Excited Granular Media: Clustering and Equation of State

1994 ◽  
Vol 367 ◽  
Author(s):  
D.R.M. Williams ◽  
F.C. Mackintosh
Keyword(s):  
Correlation Function ◽  
Equation Of State ◽  
Granular Media ◽  
Particle Density ◽  
Average Kinetic Energy ◽  
Granular System ◽  
Average Particle ◽  
Particle Correlation ◽  
One Dimensional ◽  
Particle Speed

AbstractWe study a one-dimensional granular system, excited by white noise, with inelastic interactions between the particles. When the coefficient of restitution,η, is one, the particles are totally uncorrelated. As η decreases the particles cluster. A computer simulation of the system shows equilibrium clustering with a power law particle-particle correlation function. This correlation function is independent of the average kinetic energy of the particles but depends strongly on η We give simple analytical arguments to describe this clustering. We also present an “equation of state” for the particles, which relates the noise amplitude to the particle density and the average particle speed.

Density variations in a one‐dimensional granular system

1996 ◽  
Vol 8 (12) ◽  
pp. 3218-3228 ◽  
Author(s):  
E. L. Grossman ◽  
B. Roman
Keyword(s):  
Granular System ◽  
One Dimensional

scholarly journals One-Dimensional Granular System with Memory Effects

2018 ◽  
Vol 50 (6) ◽  
pp. 5921-5946
Author(s):  
C. Perrin ◽  
M. Westdickenberg
Keyword(s):  
Memory Effects ◽  
Granular System ◽  
One Dimensional ◽  
With Memory

scholarly journals Formation of Kinetics Coherent Structures in Weakly Collisional Media

Plasma ◽  
2021 ◽  
Vol 4 (2) ◽  
pp. 359-365
Author(s):  
Alexander Karimov ◽  
Vladislav Bogdanov
Keyword(s):  
Dispersion Relation ◽  
Coherent Structures ◽  
Yukawa Potential ◽  
Collision Integral ◽  
Interparticle Interaction ◽  
Kinetic Description ◽  
Interaction Potentials ◽  
One Dimensional ◽  
Energy And Momentum ◽  
Collective Interactions

The formation of nonlinear, nonstationary structures in weakly collisional media with collective interactions are investigated analytically within the framework of the kinetic description. This issue is considered in one-dimensional geometry using collision integral in the Bhatnagar-Gross-Krook form and some model forms of the interparticle interaction potentials that ensure the finiteness of the energy and momentum of the systems under consideration. As such potentials, we select the Yukawa potential, the δ-potential, which describes coherent structures in a plasma. For such potentials we obtained a dispersion relation which makes it possible to estimate the size and type of the forming structures.

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.

Sign in / Sign up

Export Citation Format

Share Document