Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Anomalous Diffusion With an Apparently Negative Diffusion Coefficient in a One-Dimensional Quantum Molecular Chain Model

Version 1 : Received: 3 February 2021 / Approved: 4 February 2021 / Online: 4 February 2021 (10:25:41 CET)

How to cite: Nakade, S.; Kanki, K.; Tanaka, S.; Petrosky, T. Anomalous Diffusion With an Apparently Negative Diffusion Coefficient in a One-Dimensional Quantum Molecular Chain Model. Preprints 2021, 2021020131 (doi: 10.20944/preprints202102.0131.v1). Nakade, S.; Kanki, K.; Tanaka, S.; Petrosky, T. Anomalous Diffusion With an Apparently Negative Diffusion Coefficient in a One-Dimensional Quantum Molecular Chain Model. Preprints 2021, 2021020131 (doi: 10.20944/preprints202102.0131.v1).

Abstract

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.

Subject Areas

anomalous diffusion; one dimensional quantum system; irreversibility vs. reversibility

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