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Diffusion under the Effect of Lorentz Force

  • Book
  • © 2022

Overview

Authors:
  1. Erik Kalz

    1. Finsterwalde, Germany

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Part of the book series: BestMasters (BEST)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-ix
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  2. Introduction

    • Erik Kalz
    Pages 1-4

  3. Theory

    • Erik Kalz
    Pages 5-22

  4. Numerical Results

    • Erik Kalz
    Pages 23-31

  5. Self-Diffusion

    • Erik Kalz
    Pages 33-45

  6. First-Principles Approach to Self-Diffusion

    • Erik Kalz
    Pages 47-52

  7. Conclusions and Outlook

    • Erik Kalz
    Pages 53-56

  8. Back Matter

    Pages 57-58
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Keywords

About this book

It is generally believed that collisions of particles reduce the self-diffusion coefficient. In this book, Erik Kalz shows that in classical systems under the effect of Lorentz force, which are characterized by diffusion tensors with antisymmetric elements, collisions surprisingly can enhance self-diffusion. In these systems, due to an inherent curving effect, the motion of particles is facilitated, instead of hindered by collisions. Consistent with this the author finds that the collective diffusion remains unaffected. Using a geometric model, he theoretically predicts a magnetic field governed crossover from a reduced to an enhanced self-diffusion. The physical interpretation is quantitatively supported by the force autocorrelation function, which turns negative with increasing the magnetic field. Using Brownian-dynamics simulations, he validates the predictions.

Authors and Affiliations

  • Finsterwalde, Germany

    Erik Kalz

About the author

Erik Kalz holds a master's degree in physics from the Technical University of Dresden. He is interested in statistical physics with applications in soft condensed matter physics and biological physics. In 2022 he will start his PhD in theoretical physics at the University of Potsdam.

Bibliographic Information

  • Book Title: Diffusion under the Effect of Lorentz Force

  • Authors: Erik Kalz

  • Series Title: BestMasters

  • DOI: https://doi.org/10.1007/978-3-658-39518-6

  • Publisher: Springer Spektrum Wiesbaden

  • eBook Packages: Life Science and Basic Disciplines (German Language)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2022

  • Softcover ISBN: 978-3-658-39517-9Published: 10 November 2022

  • eBook ISBN: 978-3-658-39518-6Published: 09 November 2022

  • Series ISSN: 2625-3577

  • Series E-ISSN: 2625-3615

  • Edition Number: 1

  • Number of Pages: IX, 58

  • Number of Illustrations: 19 b/w illustrations

  • Topics: Theoretical, Mathematical and Computational Physics

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