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Title: The one-dimensional camelback potential in the parallel dipole line trap: Stability conditions and finite size effect

Abstract

We recently demonstrated a magnetic parallel dipole line (PDL) system that serves as a unique diamagnetic trap with a fascinating one-dimensional camelback potential along its longitudinal axis. The system can be realized with a pair of transversely magnetized cylindrical magnets and a cylindrical graphite rod as the trapped object. In this paper, we present more detailed experimental and theoretical studies of the finite size effect of the rod and its impact on the stability and oscillation dynamics of the trap. We show that the camelback potential effect only occurs when the length of the PDL system is beyond certain critical length (LC). The length of the trapped rod determines the “effective camelback potential” and is subject to maximum and minimum values for the trap to be stable. Both length and radius of the rod determine the damping dynamics or the quality factor of the oscillator. Finally, these characteristics are important for designing the PDL trap system for various sensing applications, for example, we demonstrated a PDL trap gas viscometer system through measurement of the oscillation damping time constant.

Authors:
ORCiD logo [1];  [1]
  1. IBM T. J. Watson Research Center, Yorktown Heights, NY (United States)
Publication Date:
Research Org.:
IBM T. J. Watson Research Center, Yorktown Heights, NY (United States)
Sponsoring Org.:
USDOE Advanced Research Projects Agency - Energy (ARPA-E)
OSTI Identifier:
1465332
Alternate Identifier(s):
OSTI ID: 1993649
Grant/Contract Number:  
AR0000540
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 121; Journal Issue: 13; Journal ID: ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; oscillators; magnetic levitation devices; magnetic materials; viscosity; drag reduction; graphite; parallel processing; magnetic fields; diamagnetism

Citation Formats

Gunawan, Oki, and Virgus, Yudistira. The one-dimensional camelback potential in the parallel dipole line trap: Stability conditions and finite size effect. United States: N. p., 2017. Web. doi:10.1063/1.4978876.
Gunawan, Oki, & Virgus, Yudistira. The one-dimensional camelback potential in the parallel dipole line trap: Stability conditions and finite size effect. United States. https://doi.org/10.1063/1.4978876
Gunawan, Oki, and Virgus, Yudistira. Tue . "The one-dimensional camelback potential in the parallel dipole line trap: Stability conditions and finite size effect". United States. https://doi.org/10.1063/1.4978876. https://www.osti.gov/servlets/purl/1465332.
@article{osti_1465332,
title = {The one-dimensional camelback potential in the parallel dipole line trap: Stability conditions and finite size effect},
author = {Gunawan, Oki and Virgus, Yudistira},
abstractNote = {We recently demonstrated a magnetic parallel dipole line (PDL) system that serves as a unique diamagnetic trap with a fascinating one-dimensional camelback potential along its longitudinal axis. The system can be realized with a pair of transversely magnetized cylindrical magnets and a cylindrical graphite rod as the trapped object. In this paper, we present more detailed experimental and theoretical studies of the finite size effect of the rod and its impact on the stability and oscillation dynamics of the trap. We show that the camelback potential effect only occurs when the length of the PDL system is beyond certain critical length (LC). The length of the trapped rod determines the “effective camelback potential” and is subject to maximum and minimum values for the trap to be stable. Both length and radius of the rod determine the damping dynamics or the quality factor of the oscillator. Finally, these characteristics are important for designing the PDL trap system for various sensing applications, for example, we demonstrated a PDL trap gas viscometer system through measurement of the oscillation damping time constant.},
doi = {10.1063/1.4978876},
journal = {Journal of Applied Physics},
number = 13,
volume = 121,
place = {United States},
year = {Tue Apr 04 00:00:00 EDT 2017},
month = {Tue Apr 04 00:00:00 EDT 2017}
}

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Works referencing / citing this record:

Carrier-resolved photo-Hall effect
journal, October 2019