Numerical insights into the phase diagram of p-atic membranes with spherical topology

Allan Grønhøj Hansen, N. Ramakrishnan, P. B. Sunil Kumar, J. H. Ipsen*

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Abstract.: The properties of self-avoiding p-atic membranes restricted to spherical topology have been studied by Monte Carlo simulations of a triangulated random surface model. Spherically shaped p-atic membranes undergo a Kosterlitz-Thouless transition as expected with topology induced mutually repelling disclinations of the p-atic ordered phase. For flexible membranes the phase behaviour bears some resemblance to the spherically shaped case with a p-atic disordered crumpled phase and p-atic ordered, conformationally ordered (crinkled) phase separated by a KT-like transition with proliferation of disclinations. We confirm the proposed buckling of disclinations in the p-atic ordered phase, while the expected associated disordering (crumpling) transition at low bending rigidities is absent in the phase diagram. Graphical abstract: [Figure not available: see fulltext.]

OriginalsprogEngelsk
Artikelnummer32
TidsskriftThe European Physical Journal E: Soft Matter and Biological Physics
Vol/bind40
Antal sider10
ISSN1292-8941
DOI
StatusUdgivet - 2017

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