Anomalous Diffusion With an Apparently Negative Diffusion Coefficient in a One-Dimensional Quantum Molecular Chain Model
| Autor: | Satoshi Tanaka, Kazuki Kanki, Tomio Petrosky, Sho Nakade |
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| Rok vydání: | 2021 |
| Předmět: |
Physics and Astronomy (miscellaneous)
Anomalous diffusion General Mathematics media_common.quotation_subject Second law of thermodynamics 01 natural sciences 010305 fluids & plasmas anomalous diffusion 0103 physical sciences Computer Science (miscellaneous) Diffusion (business) 010306 general physics acoustics Quantum media_common Physics Condensed matter physics lcsh:Mathematics lcsh:QA1-939 Fick's laws of diffusion Diffusion process Chemistry (miscellaneous) irreversibility vs. reversibility one dimensional quantum system Anomaly (physics) Displacement (fluid) |
| Zdroj: | Symmetry Volume 13 Issue 3 Symmetry, Vol 13, Iss 506, p 506 (2021) |
| DOI: | 10.20944/preprints202102.0131.v1 |
| Popis: | An interesting anomaly of the diffusion process with an apparently negative diffusion coefficient defined through the mean-square displacement in a one-dimensional quantum molecular chain model is shown. Nevertheless, the system satisfies the H-theorem, so that the second law of thermodynamics is satisfied. The reason why the “diffusion constant” becomes negative is due to the effect of the phase mixing process, which is a characteristic result of the one-dimensionality of the system. We illustrate the situation where this negative “diffusion constant” appears. |
| Databáze: | OpenAIRE |
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