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Multiple Singularities of the Equilibrium Free Energy in a One-Dimensional Model of Soft Rods

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dc.contributor.author SARYAL, SUSHANT en_US
dc.contributor.author Klamser,Juliane U. en_US
dc.contributor.author Sadhu, Tridib en_US
dc.contributor.author DHAR, DEEPAK en_US
dc.date.accessioned 2019-12-24T11:54:23Z
dc.date.available 2019-12-24T11:54:23Z
dc.date.issued 2018-12 en_US
dc.identifier.citation Physical Review Letters, 121(24). en_US
dc.identifier.issn 0031-9007 en_US
dc.identifier.issn 1079-7114 en_US
dc.identifier.uri http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4272
dc.identifier.uri https://doi.org/10.1103/PhysRevLett.121.240601 en_US
dc.description.abstract There is a misconception, widely shared among physicists, that the equilibrium free energy of a one-dimensional classical model with strictly finite-ranged interactions, and at nonzero temperatures, cannot show any singularities as a function of the coupling constants. In this Letter, we discuss an instructive counterexample. We consider thin rigid linear rods of equal length 2 ℓ whose centers lie on a one-dimensional lattice, of lattice spacing a . The interaction between rods is a soft-core interaction, having a finite energy U per overlap of rods. We show that the equilibrium free energy per rod F [ ( ℓ / a ) , β ] , at inverse temperature β , has an infinite number of singularities, as a function of ℓ / a . en_US
dc.language.iso en en_US
dc.publisher American Physical Society en_US
dc.subject Physics en_US
dc.subject 2018 en_US
dc.title Multiple Singularities of the Equilibrium Free Energy in a One-Dimensional Model of Soft Rods en_US
dc.type Article en_US
dc.contributor.department Dept. of Physics en_US
dc.identifier.sourcetitle Physical Review Letters en_US
dc.publication.originofpublisher Foreign en_US


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