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https://doi.org/10.1016/S0378-4371(01)00613-6
| Title: | Microscopic chaos and Gaussian diffusion processes | Authors: | Chew, L.Y. Ting, C. |
Keywords: | Brownian motion Chaos Einstein's diffusion Equipartition theorem Gaussian diffusion process Green-Kubo relation Non-Ornstein-Uhlenbeck process |
Issue Date: | 1-May-2002 | Citation: | Chew, L.Y., Ting, C. (2002-05-01). Microscopic chaos and Gaussian diffusion processes. Physica A: Statistical Mechanics and its Applications 307 (3-4) : 275-296. ScholarBank@NUS Repository. https://doi.org/10.1016/S0378-4371(01)00613-6 | Abstract: | In this paper, we construct and analyze a prototypical model of microscopic chaos. In particular, we extend the results of Beck and Shimizu to the case where the microscopic time scale τ is no longer small. The upshot is that a non-Ornstein-Uhlenbeck deterministic process can generate a Gaussian diffusion process. © 2002 Elsevier Science B.V. All rights reserved. | Source Title: | Physica A: Statistical Mechanics and its Applications | URI: | http://scholarbank.nus.edu.sg/handle/10635/97206 | ISSN: | 03784371 | DOI: | 10.1016/S0378-4371(01)00613-6 |
| Appears in Collections: | Staff Publications |
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