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http://hdl.handle.net/2289/6209Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Prasad, V.V. | - |
| dc.contributor.author | Sabhapandit, Sanjib | - |
| dc.contributor.author | Dhar, Abhishek | - |
| dc.date.accessioned | 2015-03-26T02:13:18Z | - |
| dc.date.available | 2015-03-26T02:13:18Z | - |
| dc.date.issued | 2014-12-19 | - |
| dc.identifier.citation | Physical Review E, 2014, Vol. 90, p 062130 | en |
| dc.identifier.issn | 1539-3755 | - |
| dc.identifier.issn | 1550-2376(Online) | - |
| dc.identifier.uri | http://hdl.handle.net/2289/6209 | - |
| dc.description | Open Access | en |
| dc.description.abstract | We consider the inelastic Maxwell model, which consists of a collection of particles that are characterized by only their velocities and evolving through binary collisions and external driving. At any instant, a particle is equally likely to collide with any of the remaining particles. The system evolves in continuous time with mutual collisions and driving taken to be point processes with rates τ−1c and τ−1w, respectively. The mutual collisions conserve momentum and are inelastic, with a coefficient of restitution r. The velocity change of a particle with velocity v, due to driving, is taken to be Δv=−(1+rw)v+η, where rw∈[−1,1] and η is Gaussian white noise. For rw∈(0,1], this driving mechanism mimics the collision with a randomly moving wall, where rw is the coefficient of restitution. Another special limit of this driving is the so-called Ornstein-Uhlenbeck process given by dvdt=−Γv+η. We show that while the equations for the n-particle velocity distribution functions (n=1,2,...) do not close, the joint evolution equations of the variance and the two-particle velocity correlation functions close. With the exact formula for the variance we find that, for rw≠−1, the system goes to a steady state. Also we obtain the exact tail of the velocity distribution in the steady state. On the other hand, for rw=−1, the system does not have a steady state. Similarly, the system goes to a steady state for the Ornstein-Uhlenbeck driving with Γ≠0, whereas for the purely diffusive driving (Γ=0), the system does not have a steady state. | en |
| dc.language.iso | en | en |
| dc.publisher | American Physical Society | en |
| dc.relation.uri | http://arxiv.org/abs/1408.3964 | en |
| dc.relation.uri | http://dx.doi.org/10.1103/PhysRevE.90.062130 | en |
| dc.rights | 2014 American Physical Society | en |
| dc.title | Driven inelastic Maxwell gases | en |
| dc.type | Article | en |
| Appears in Collections: | Research Papers (TP) | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2014_PhysRevE_90_062130.pdf | Open Access | 269.23 kB | Adobe PDF | View/Open |
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