<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2022000300002</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.68.030701</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Spinor representation of curves and complexified forces on filaments]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Solis]]></surname>
<given-names><![CDATA[D. A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Vázquez-Montejo]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma de Yucatán Facultad de Matemáticas ]]></institution>
<addr-line><![CDATA[Mérida Yucatán]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Autónoma de Yucatán Facultad de Matemáticas ]]></institution>
<addr-line><![CDATA[Mérida Yucatán]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2022</year>
</pub-date>
<volume>68</volume>
<numero>3</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2022000300002&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2022000300002&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2022000300002&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract  We present a theoretical framework to study equilibrium configurations of filaments within a spinor representation of curves. The curve representing the filament is described by a unit two-component spinor field and its charge conjugate satisfying two-dimensional equations coupled by the curvature and torsion. The spinor field replaces the Frenet-Serret frame, whereas its structure equations replace the Frenet-Serret equations. Employing this spinorial description of curves, we derive the Euler-Lagrange equations of curves whose energies depend on their curvature and torsion. We analyze the conservation laws of the spinors representing the balance of the forces and torques along the filament. We illustrate this framework by applying these results to the Euler Elastica, whose bending energy is quadratic in the curvature.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Geometric variational principles]]></kwd>
<kwd lng="en"><![CDATA[spinors]]></kwd>
<kwd lng="en"><![CDATA[filaments]]></kwd>
<kwd lng="en"><![CDATA[bending energy]]></kwd>
<kwd lng="en"><![CDATA[planar Euler elastica]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>[1]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kamien]]></surname>
<given-names><![CDATA[R. D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The geometry of soft materials: a primer]]></article-title>
<source><![CDATA[Rev. Mod. Phys.]]></source>
<year>2002</year>
<volume>74</volume>
<page-range>953</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>[2]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Powers]]></surname>
<given-names><![CDATA[T. R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Dynamics of filaments and membranes in a viscous fluid]]></article-title>
<source><![CDATA[Rev. Mod. Phys.]]></source>
<year>2010</year>
<volume>82</volume>
<page-range>1607</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>[3]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bishop]]></surname>
<given-names><![CDATA[R. L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[There is more than one way to frame a curve]]></article-title>
<source><![CDATA[Amer. Math. Month.]]></source>
<year>1975</year>
<volume>82</volume>
<page-range>246</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>[4]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hasimoto]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A soliton on a vortex filament]]></article-title>
<source><![CDATA[J. Fluid Mech.]]></source>
<year>1972</year>
<volume>51</volume>
<page-range>477</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>[5]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Shi]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Hearst]]></surname>
<given-names><![CDATA[J. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The kirchhoff elastic rod, the nonlinear schrödinger equation, and dna supercoiling]]></article-title>
<source><![CDATA[J. Chem. Phys.]]></source>
<year>1994</year>
<volume>101</volume>
<page-range>5186</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>[6]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Takahashi]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A spinor reconstruction theorem]]></article-title>
<source><![CDATA[Prog. Theor. Phys.]]></source>
<year>1983</year>
<volume>69</volume>
<page-range>369</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>[7]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Takahashi]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A spinorization of the frenet-serret equation]]></article-title>
<source><![CDATA[Prog. Theor. Phys.]]></source>
<year>1983</year>
<volume>70</volume>
<page-range>1466</page-range></nlm-citation>
</ref>
<ref id="B8">
<label>[8]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Takahashi]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The gauss and the weingarten equations for extended objects and their spinorization]]></article-title>
<source><![CDATA[J. Math. Phys.]]></source>
<year>1984</year>
<volume>25</volume>
<page-range>2728</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>[9]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Torres del Castillo]]></surname>
<given-names><![CDATA[G. F.]]></given-names>
</name>
<name>
<surname><![CDATA[Sánchez Barrales]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Spinor formulation of the differential geometry of curves]]></article-title>
<source><![CDATA[Rev. Col. Mat.]]></source>
<year>2004</year>
<volume>38</volume>
<page-range>27</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>[10]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ioannidou]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Jiang]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Niemi]]></surname>
<given-names><![CDATA[A. J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Spinors, strings, integrable models, and decomposed yang-mills theory]]></article-title>
<source><![CDATA[Phys. Rev. D]]></source>
<year>2014</year>
<volume>90</volume>
<page-range>025012</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>[11]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Guven]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Vázquez-Montejo]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Spinor representation of surfaces and complex stresses on membranes and interfaces]]></article-title>
<source><![CDATA[Phys. Rev. E]]></source>
<year>2010</year>
<volume>82</volume>
<page-range>041604</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>[12]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Guven]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Membrane geometry with auxiliary variables and quadratic constraints]]></article-title>
<source><![CDATA[J. Phys. A: Math. Gen.]]></source>
<year>2004</year>
<volume>37</volume>
<page-range>L313</page-range></nlm-citation>
</ref>
<ref id="B13">
<label>[13]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Guven]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Vázquez-Montejo]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Confinement of semiflexible polymers]]></article-title>
<source><![CDATA[Phys. Rev. E]]></source>
<year>2012</year>
<volume>85</volume>
<page-range>026603</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>[14]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Guven]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Valencia]]></surname>
<given-names><![CDATA[D. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Vázquez-Montejo]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Environmental bias and elastic curves on surfaces]]></article-title>
<source><![CDATA[J. Phys. A: Math. Theor.]]></source>
<year>2014</year>
<volume>47</volume>
<page-range>355201</page-range></nlm-citation>
</ref>
<ref id="B15">
<label>[15]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Guven]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Vázquez-Montejo]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<source><![CDATA[The Geometry of Fluid Membranes: Variational Principles, Symmetries and Conservation Laws]]></source>
<year>2018</year>
<edition>1</edition>
<page-range>167-219</page-range><publisher-loc><![CDATA[Cham ]]></publisher-loc>
<publisher-name><![CDATA[Springer International Publishing]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B16">
<label>[16]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Solis]]></surname>
<given-names><![CDATA[D. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Vázquez-Montejo]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[First integrals for elastic curves: twisting instabilities of helices]]></article-title>
<source><![CDATA[J. Phys. A: Math. Theor.]]></source>
<year>2021</year>
<volume>54</volume>
<page-range>305702</page-range></nlm-citation>
</ref>
<ref id="B17">
<label>[17]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Capovilla]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Chryssomalakos]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Guven]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Hamiltonians for curves]]></article-title>
<source><![CDATA[J. Phys. A: Math. Gen.]]></source>
<year>2002</year>
<volume>35</volume>
<page-range>6571</page-range></nlm-citation>
</ref>
<ref id="B18">
<label>[18]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tu]]></surname>
<given-names><![CDATA[Z. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Ou-Yang]]></surname>
<given-names><![CDATA[Z. C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Elastic theory of low-dimensional continua and its applications in bio- and nano-structures]]></article-title>
<source><![CDATA[J. Comput. Theor. Nanosci.]]></source>
<year>2008</year>
<volume>5</volume>
<page-range>422</page-range></nlm-citation>
</ref>
<ref id="B19">
<label>[19]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Starostin]]></surname>
<given-names><![CDATA[E. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Heijden]]></surname>
<given-names><![CDATA[G. H. M. van der]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Force and moment balance equations for geometric variational problems on curves]]></article-title>
<source><![CDATA[Phys. Rev. E]]></source>
<year>2009</year>
<volume>79</volume>
<page-range>066602</page-range></nlm-citation>
</ref>
<ref id="B20">
<label>[20]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Carmo]]></surname>
<given-names><![CDATA[M. P. do]]></given-names>
</name>
</person-group>
<source><![CDATA[Differential Geometry of Curves and Surfaces]]></source>
<year>2016</year>
<edition>2</edition>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Dover Publications]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B21">
<label>[21]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Frankel]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<source><![CDATA[The Geometry of Physics: An Introduction]]></source>
<year>2004</year>
<edition>2</edition>
<publisher-loc><![CDATA[Cambridge ]]></publisher-loc>
<publisher-name><![CDATA[Cambridge University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B22">
<label>[22]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cartan]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<source><![CDATA[The Theory of Spinors]]></source>
<year>2012</year>
<edition>1</edition>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Dover Publications]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B23">
<label>[23]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Vázquez-Montejo]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[McDargh]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Deserno]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Guven]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Cylindrical confinement of semiflexible polymers]]></article-title>
<source><![CDATA[Phys. Rev. E]]></source>
<year>2015</year>
<volume>91</volume>
<page-range>063203</page-range></nlm-citation>
</ref>
<ref id="B24">
<label>[24]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Landau]]></surname>
<given-names><![CDATA[L. D.]]></given-names>
</name>
<name>
<surname><![CDATA[Pitaevskii]]></surname>
<given-names><![CDATA[L. P.]]></given-names>
</name>
<name>
<surname><![CDATA[Kosevich]]></surname>
<given-names><![CDATA[A. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Lifshitz]]></surname>
<given-names><![CDATA[E. M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Theory of Elasticity]]></source>
<year>1986</year>
<edition>3</edition>
<publisher-loc><![CDATA[Oxford ]]></publisher-loc>
<publisher-name><![CDATA[Butterworth-Heinemann]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B25">
<label>[25]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Langer]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Singer]]></surname>
<given-names><![CDATA[D. A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The total squared curvature of closed curves]]></article-title>
<source><![CDATA[J. Differential Geom.]]></source>
<year>1984</year>
<volume>20</volume>
<page-range>1</page-range></nlm-citation>
</ref>
<ref id="B26">
<label>[26]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Langer]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Singer]]></surname>
<given-names><![CDATA[D. A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Knotted elastic curves in R3]]></article-title>
<source><![CDATA[J. London Math. Soc.]]></source>
<year>1984</year>
<volume>30</volume>
<page-range>512</page-range></nlm-citation>
</ref>
<ref id="B27">
<label>[27]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Abramowitz]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Stegun]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
</person-group>
<source><![CDATA[Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables]]></source>
<year>1965</year>
<edition>9</edition>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Dover Publications]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B28">
<label>[28]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tadjbakhsh]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
<name>
<surname><![CDATA[Odeh]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Equilibrium states of elastic rings]]></article-title>
<source><![CDATA[J. Math. Anal. Appl.]]></source>
<year>1967</year>
<volume>18</volume>
<page-range>59</page-range></nlm-citation>
</ref>
<ref id="B29">
<label>[29]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Arreaga]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Capovilla]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Chryssomalakos]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Guven]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Area-constrained planar elastica]]></article-title>
<source><![CDATA[Phys. Rev. E]]></source>
<year>2002</year>
<volume>65</volume>
<page-range>031801</page-range></nlm-citation>
</ref>
<ref id="B30">
<label>[30]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Goriely]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Tabor]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The nonlinear dynamics of filaments]]></article-title>
<source><![CDATA[Nonlinear Dyn.]]></source>
<year>2000</year>
<volume>21</volume>
<page-range>101</page-range></nlm-citation>
</ref>
<ref id="B31">
<label>[31]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Goubault]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Jop]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Fermigier]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Baudry]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Bertrand]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Bibette]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Flexible magnetic filaments as micromechanical sensors]]></article-title>
<source><![CDATA[Phys. Rev. Lett.]]></source>
<year>2003</year>
<volume>91</volume>
<page-range>260802</page-range></nlm-citation>
</ref>
<ref id="B32">
<label>[32]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cebers]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Dynamics of a chain of magnetic particles connected with elastic linkers]]></article-title>
<source><![CDATA[J. Phys.: Condens. Matter]]></source>
<year>2003</year>
<volume>15</volume>
<page-range>S1335</page-range></nlm-citation>
</ref>
<ref id="B33">
<label>[33]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Vázquez-Montejo]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Dempster]]></surname>
<given-names><![CDATA[J. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Olvera de la Cruz]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Paramagnetic filaments in a fast precessing field: Planar versus helical conformations]]></article-title>
<source><![CDATA[Phys. Rev. Materials]]></source>
<year>2017</year>
<volume>1</volume>
<page-range>064402</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
