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http://hdl.handle.net/2289/6701
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DC Field | Value | Language |
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dc.contributor.author | Prasad, V.V. | - |
dc.contributor.author | Sabhapandit, Sanjib | - |
dc.contributor.author | Dhar, Abhishek | - |
dc.contributor.author | Narayan, Onuttom | - |
dc.date.accessioned | 2017-08-16T11:22:15Z | - |
dc.date.available | 2017-08-16T11:22:15Z | - |
dc.date.issued | 2017-02 | - |
dc.identifier.citation | Physical Review E, 2017, Vol 95, p022115 | en_US |
dc.identifier.issn | 2470-0053 (Online) | - |
dc.identifier.issn | 2470-0045 | - |
dc.identifier.uri | http://hdl.handle.net/2289/6701 | - |
dc.description | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) | en_US |
dc.description.abstract | A lattice version of the driven inelastic Maxwell gas is studied in one dimension with periodic boundary conditions. Each site i of the lattice is assigned with a scalar “velocity,” vi. Nearest neighbors on the lattice interact, with a rate τ−1c, according to an inelastic collision rule. External driving, occurring with a rate τ−1w, sustains a steady state in the system. A set of closed coupled equations for the evolution of the variance and the two-point correlation is found. Steady-state values of the variance, as well as spatial correlation functions, are calculated. It is shown exactly that the correlation function decays exponentially with distance, and the correlation length for a large system is determined. Furthermore, the spatiotemporal correlation C(x,t)=⟨vi(0)vi+x(t)⟩ can also be obtained. We find that there is an interior region −x∗<x<x∗, where C(x,t) has a time-dependent form, whereas in the exterior region |x|>x∗, the correlation function remains the same as the initial form. C(x,t) exhibits second-order discontinuity at the transition points x=±x∗, and these transition points move away from the x=0 with a constant speed. | en_US |
dc.language.iso | en | en_US |
dc.publisher | American Physical Society | en_US |
dc.relation.uri | http://arxiv.org/abs/1606.09561 | en_US |
dc.relation.uri | http://dx.doi.org/10.1103/PhysRevE.95.022115 | en_US |
dc.title | Driven inelastic Maxwell gas in one dimension | en_US |
dc.type | Article | en_US |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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2017_PhysRevE_95_022115.pdf | Open Access | 274.18 kB | Adobe PDF | View/Open |
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