Magnetic Response of a Charged Brownian Particle Under the Action of Two AC Drive

Midhun A Mohan; M Sahoo

doi:doi:10.11648/j.ijamtp.20210701.12

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Magnetic Response of a Charged Brownian Particle Under the Action of Two AC Drive

Midhun A Mohan, M Sahoo

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 7, Issue 1)

Received: 21 December 2020 Accepted: 6 January 2021 Published: 20 February 2021

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Abstract

We study the dynamics of a charged Brownian particle in a 2-D harmonic well under the action of two AC driving forces with different amplitudes as well as with a phase difference, ϕ between them. Interestingly we observed that the system exhibits magnetism even in the absence of magnetic field. We have exactly calculated the magnetic moment and investigated the behaviour in the presence of a linear velocity dependent force. The behaviour of the magnetic moment in various parameter regimes of the model is analyzed. The magnetic moment is found to get suppressed with increase in the amplitude of the linear velocity dependent force. Interestingly we observed that when the phase difference between the AC drives lies in between 0 and π/2 , the system shows a paramagnetic behaviour whereas the system shows a diamagnetic behaviour when the phase difference between the AC drives lies in between π/2 and π. These magnetic behaviours have also been confirmed from the parametric plots. For the phase difference between 0 and π/2 , the orbit of precission of the Brownian particle is in the clockwise direction where as for the phase difference between π/2 and π, the orbit of precission of the Brownian particle is in the anticlockwise direction.

Published in	International Journal of Applied Mathematics and Theoretical Physics (Volume 7, Issue 1)
DOI	10.11648/j.ijamtp.20210701.12
Page(s)	10-15
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

DiamaNarrative Strategies, Movie Text, Music Video, Creolized Text, Simulacrum, Simulation, Hyper/Artgnetism, Non-equilibrium Magnetic Moment, Phase Difference, Velocity Dependent Force

References

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APA Style

Midhun A Mohan, M Sahoo. (2021). Magnetic Response of a Charged Brownian Particle Under the Action of Two AC Drive. International Journal of Applied Mathematics and Theoretical Physics, 7(1), 10-15. https://doi.org/10.11648/j.ijamtp.20210701.12

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ACS Style

Midhun A Mohan; M Sahoo. Magnetic Response of a Charged Brownian Particle Under the Action of Two AC Drive. Int. J. Appl. Math. Theor. Phys. 2021, 7(1), 10-15. doi: 10.11648/j.ijamtp.20210701.12

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AMA Style

Midhun A Mohan, M Sahoo. Magnetic Response of a Charged Brownian Particle Under the Action of Two AC Drive. Int J Appl Math Theor Phys. 2021;7(1):10-15. doi: 10.11648/j.ijamtp.20210701.12

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@article{10.11648/j.ijamtp.20210701.12,
  author = {Midhun A Mohan and M Sahoo},
  title = {Magnetic Response of a Charged Brownian Particle Under the Action of Two AC Drive},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {7},
  number = {1},
  pages = {10-15},
  doi = {10.11648/j.ijamtp.20210701.12},
  url = {https://doi.org/10.11648/j.ijamtp.20210701.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20210701.12},
  abstract = {We study the dynamics of a charged Brownian particle in a 2-D harmonic well under the action of two AC driving forces with different amplitudes as well as with a phase difference, ϕ between them. Interestingly we observed that the system exhibits magnetism even in the absence of magnetic field. We have exactly calculated the magnetic moment and investigated the behaviour in the presence of a linear velocity dependent force. The behaviour of the magnetic moment in various parameter regimes of the model is analyzed. The magnetic moment is found to get suppressed with increase in the amplitude of the linear velocity dependent force. Interestingly we observed that when the phase difference between the AC drives lies in between 0 and π/2 , the system shows a paramagnetic behaviour whereas the system shows a diamagnetic behaviour when the phase difference between the AC drives lies in between π/2 and π. These magnetic behaviours have also been confirmed from the parametric plots. For the phase difference between 0 and π/2 , the orbit of precission of the Brownian particle is in the clockwise direction where as for the phase difference between π/2 and π, the orbit of precission of the Brownian particle is in the anticlockwise direction.},
 year = {2021}
}

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TY  - JOUR
T1  - Magnetic Response of a Charged Brownian Particle Under the Action of Two AC Drive
AU  - Midhun A Mohan
AU  - M Sahoo
Y1  - 2021/02/20
PY  - 2021
N1  - https://doi.org/10.11648/j.ijamtp.20210701.12
DO  - 10.11648/j.ijamtp.20210701.12
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 10
EP  - 15
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20210701.12
AB  - We study the dynamics of a charged Brownian particle in a 2-D harmonic well under the action of two AC driving forces with different amplitudes as well as with a phase difference, ϕ between them. Interestingly we observed that the system exhibits magnetism even in the absence of magnetic field. We have exactly calculated the magnetic moment and investigated the behaviour in the presence of a linear velocity dependent force. The behaviour of the magnetic moment in various parameter regimes of the model is analyzed. The magnetic moment is found to get suppressed with increase in the amplitude of the linear velocity dependent force. Interestingly we observed that when the phase difference between the AC drives lies in between 0 and π/2 , the system shows a paramagnetic behaviour whereas the system shows a diamagnetic behaviour when the phase difference between the AC drives lies in between π/2 and π. These magnetic behaviours have also been confirmed from the parametric plots. For the phase difference between 0 and π/2 , the orbit of precission of the Brownian particle is in the clockwise direction where as for the phase difference between π/2 and π, the orbit of precission of the Brownian particle is in the anticlockwise direction.
VL  - 7
IS  - 1
ER  -

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Author Information

Midhun A Mohan

Department of Physics, University of Kerala, Kariavattom, Thiruvananthapuram, India
M Sahoo

Department of Physics, University of Kerala, Kariavattom, Thiruvananthapuram, India

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APA Style

Midhun A Mohan, M Sahoo. (2021). Magnetic Response of a Charged Brownian Particle Under the Action of Two AC Drive. International Journal of Applied Mathematics and Theoretical Physics, 7(1), 10-15. https://doi.org/10.11648/j.ijamtp.20210701.12

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ACS Style

Midhun A Mohan; M Sahoo. Magnetic Response of a Charged Brownian Particle Under the Action of Two AC Drive. Int. J. Appl. Math. Theor. Phys. 2021, 7(1), 10-15. doi: 10.11648/j.ijamtp.20210701.12

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AMA Style

Midhun A Mohan, M Sahoo. Magnetic Response of a Charged Brownian Particle Under the Action of Two AC Drive. Int J Appl Math Theor Phys. 2021;7(1):10-15. doi: 10.11648/j.ijamtp.20210701.12

Copy | Download

@article{10.11648/j.ijamtp.20210701.12,
  author = {Midhun A Mohan and M Sahoo},
  title = {Magnetic Response of a Charged Brownian Particle Under the Action of Two AC Drive},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {7},
  number = {1},
  pages = {10-15},
  doi = {10.11648/j.ijamtp.20210701.12},
  url = {https://doi.org/10.11648/j.ijamtp.20210701.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20210701.12},
  abstract = {We study the dynamics of a charged Brownian particle in a 2-D harmonic well under the action of two AC driving forces with different amplitudes as well as with a phase difference, ϕ between them. Interestingly we observed that the system exhibits magnetism even in the absence of magnetic field. We have exactly calculated the magnetic moment and investigated the behaviour in the presence of a linear velocity dependent force. The behaviour of the magnetic moment in various parameter regimes of the model is analyzed. The magnetic moment is found to get suppressed with increase in the amplitude of the linear velocity dependent force. Interestingly we observed that when the phase difference between the AC drives lies in between 0 and π/2 , the system shows a paramagnetic behaviour whereas the system shows a diamagnetic behaviour when the phase difference between the AC drives lies in between π/2 and π. These magnetic behaviours have also been confirmed from the parametric plots. For the phase difference between 0 and π/2 , the orbit of precission of the Brownian particle is in the clockwise direction where as for the phase difference between π/2 and π, the orbit of precission of the Brownian particle is in the anticlockwise direction.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Magnetic Response of a Charged Brownian Particle Under the Action of Two AC Drive
AU  - Midhun A Mohan
AU  - M Sahoo
Y1  - 2021/02/20
PY  - 2021
N1  - https://doi.org/10.11648/j.ijamtp.20210701.12
DO  - 10.11648/j.ijamtp.20210701.12
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 10
EP  - 15
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20210701.12
AB  - We study the dynamics of a charged Brownian particle in a 2-D harmonic well under the action of two AC driving forces with different amplitudes as well as with a phase difference, ϕ between them. Interestingly we observed that the system exhibits magnetism even in the absence of magnetic field. We have exactly calculated the magnetic moment and investigated the behaviour in the presence of a linear velocity dependent force. The behaviour of the magnetic moment in various parameter regimes of the model is analyzed. The magnetic moment is found to get suppressed with increase in the amplitude of the linear velocity dependent force. Interestingly we observed that when the phase difference between the AC drives lies in between 0 and π/2 , the system shows a paramagnetic behaviour whereas the system shows a diamagnetic behaviour when the phase difference between the AC drives lies in between π/2 and π. These magnetic behaviours have also been confirmed from the parametric plots. For the phase difference between 0 and π/2 , the orbit of precission of the Brownian particle is in the clockwise direction where as for the phase difference between π/2 and π, the orbit of precission of the Brownian particle is in the anticlockwise direction.
VL  - 7
IS  - 1
ER  -

Copy | Download