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Title: Flexible paramagnetic membranes in fast precessing fields

Abstract

Elastic membranes composed of paramagnetic beads offer the possibility of assembling versatile actuators operated autonomously by external magnetic fields. Here we develop a theoretical framework to study shapes of such paramagnetic membranes under the influence of a fast precessing magnetic field. Their conformations are determined by the competition of the elastic and magnetic energies, arising as a result of their bending and the induced dipolar interactions between nearest-neighbors beads. In the harmonic approximation, the elastic energy is quadratic in the surface curvatures. To account for the magnetic energy we introduce a continuum limit energy, quadratic in the projections of the surface tangents onto the precession axis. We derive the Euler-Lagrange equation governing the equilibria of these membranes, as well as the corresponding stresses. We apply this framework to examine paramagnetic membranes with quasiplanar, cylindrical, and helicoidal geometries. In all cases we found that their shape, energy, and stresses can be modified by means of the parameters of the magnetic field, mainly by the angle of precession.

Authors:
 [1];  [2]
  1. Northwestern Univ., Evanston, IL (United States). Dept. of Materials Science and Engineering; Univ. Autónoma de Yucatán, Mérida (Mexico). Faculty of Mathematics; Univ. Nacional Autonoma de Mexico (UNAM), Mexico City (Mexico). Inst. of Mathematics
  2. Northwestern Univ., Evanston, IL (United States). Dept. of Materials Science and Engineering. Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Center for Bio-Inspired Energy Science (CBES); Northwestern Univ., Evanston, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1541216
Alternate Identifier(s):
OSTI ID: 1469266
Grant/Contract Number:  
SC0000989
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review. E
Additional Journal Information:
Journal Volume: 98; Journal Issue: 3; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Vázquez-Montejo, Pablo, and de la Cruz, Mónica Olvera. Flexible paramagnetic membranes in fast precessing fields. United States: N. p., 2018. Web. doi:10.1103/physreve.98.032603.
Vázquez-Montejo, Pablo, & de la Cruz, Mónica Olvera. Flexible paramagnetic membranes in fast precessing fields. United States. https://doi.org/10.1103/physreve.98.032603
Vázquez-Montejo, Pablo, and de la Cruz, Mónica Olvera. 2018. "Flexible paramagnetic membranes in fast precessing fields". United States. https://doi.org/10.1103/physreve.98.032603. https://www.osti.gov/servlets/purl/1541216.
@article{osti_1541216,
title = {Flexible paramagnetic membranes in fast precessing fields},
author = {Vázquez-Montejo, Pablo and de la Cruz, Mónica Olvera},
abstractNote = {Elastic membranes composed of paramagnetic beads offer the possibility of assembling versatile actuators operated autonomously by external magnetic fields. Here we develop a theoretical framework to study shapes of such paramagnetic membranes under the influence of a fast precessing magnetic field. Their conformations are determined by the competition of the elastic and magnetic energies, arising as a result of their bending and the induced dipolar interactions between nearest-neighbors beads. In the harmonic approximation, the elastic energy is quadratic in the surface curvatures. To account for the magnetic energy we introduce a continuum limit energy, quadratic in the projections of the surface tangents onto the precession axis. We derive the Euler-Lagrange equation governing the equilibria of these membranes, as well as the corresponding stresses. We apply this framework to examine paramagnetic membranes with quasiplanar, cylindrical, and helicoidal geometries. In all cases we found that their shape, energy, and stresses can be modified by means of the parameters of the magnetic field, mainly by the angle of precession.},
doi = {10.1103/physreve.98.032603},
url = {https://www.osti.gov/biblio/1541216}, journal = {Physical Review. E},
issn = {2470-0045},
number = 3,
volume = 98,
place = {United States},
year = {Mon Sep 10 00:00:00 EDT 2018},
month = {Mon Sep 10 00:00:00 EDT 2018}
}

Journal Article:
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Cited by: 3 works
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Works referencing / citing this record:

Actuation of magnetoelastic membranes in precessing magnetic fields
journal, January 2019


Spontaneous deformation of flexible ferromagnetic ribbons induced by Dzyaloshinskii-Moriya interaction
journal, October 2019


Actuation of magnetoelastic membranes in precessing magnetic fields
journal, January 2019