Nakade, S.; Kanki, K.; Tanaka, S.; Petrosky, T. Anomalous Diffusion with an Apparently Negative Diffusion Coefficient in a One-Dimensional Quantum Molecular Chain Model. Symmetry2021, 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.
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
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Sho Nakade