Clustering in a One-dimensional Inelastic Lattice Gas

Details Clustering in a One-dimensional Inelastic Lattice Gas Clustering in a One-dimensional Inelastic Lattice Gas

2003-10-21

arxiv.org/abs/cond-mat/0310493v3

Phys. Rev. E 69, 041301 (2004)

Physics

Condensed Matter

Soft Condensed Matter

8 pages, 7 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.69.041301

We analyze a lattice model closely related to the one-dimensional inelastic gas with periodic boundary condition. The one-dimensional inelastic gas tends to form high density clusters of particles with almost the same velocity, separated by regions of low density; plotted as a function of particle indices, the velocities of the gas particles exhibit sharp gradients, which we call shocks. Shocks and clusters are seen to form in the lattice model too, although no true positions of the particles are taken into account. The locations of the shocks in terms of the particle index show remarkable independence on the coefficient of restitution and the sequence of collisions used to update the system, but they do depend on the initial configuration of the particle velocities. We explain the microscopic origin of the shocks. We show that dynamics of the velocity profile inside a cluster satisfies a simple continuum equation, thereby allowing us to study cluster-cluster interactions at late times.

Affiliated with

Also associated with

No associations

Rating

Clustering in a One-dimensional Inelastic Lattice Gas does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Clustering in a One-dimensional Inelastic Lattice Gas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Clustering in a One-dimensional Inelastic Lattice Gas will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-509694