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.
Keywords
anomalous diffusion; one dimensional quantum system; irreversibility vs. reversibility
Subject
PHYSICAL SCIENCES, Acoustics
Copyright:
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