Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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

A peer-reviewed article of this Preprint also exists.

Nakade, S.; Kanki, K.; Tanaka, S.; Petrosky, T. Anomalous Diffusion with an Apparently Negative Diffusion Coefficient in a One-Dimensional Quantum Molecular Chain Model. Symmetry 2021, 13, 506. Nakade, S.; Kanki, K.; Tanaka, S.; Petrosky, T. Anomalous Diffusion with an Apparently Negative Diffusion Coefficient in a One-Dimensional Quantum Molecular Chain Model. Symmetry 2021, 13, 506.

Journal reference: Symmetry 2021, 13, 506
DOI: 10.3390/sym13030506

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

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.