General criterion for harmonicity

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dc.contributor.authorProesmans, Karelen_ZA
dc.contributor.authorVandebroek, Hansen_ZA
dc.contributor.authorVan Den Broeck, Christianen_ZA
dc.date.accessioned2018-11-07T10:10:09Z
dc.date.available2018-11-07T10:10:09Z
dc.date.issued2017
dc.descriptionCITATION: Proesmans, K., Vandebroek, H. & Van Den Broeck, C. 2017. General criterion for harmonicity. Physical Review Letters, 119(14):1-5, doi:10.1103/PhysRevLett.119.147803.
dc.descriptionThe original publication is available at https://journals.aps.org/prl
dc.description.abstractInspired by Kubo-Anderson Markov processes, we introduce a new class of transfer matrices whose largest eigenvalue is determined by a simple explicit algebraic equation. Applications include the free energy calculation for various equilibrium systems and a general criterion for perfect harmonicity, i.e., a free energy that is exactly quadratic in the external field. As an illustration, we construct a “perfect spring,” namely, a polymer with non-Gaussian, exponentially distributed subunits which, nevertheless, remains harmonic until it is fully stretched. This surprising discovery is confirmed by Monte Carlo and Langevin simulations.en_ZA
dc.description.urihttps://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.147803
dc.description.versionPublisher's version
dc.format.extent5 pages
dc.identifier.citationProesmans, K., Vandebroek, H. & Van Den Broeck, C. 2017. General criterion for harmonicity. Physical Review Letters, 119(14):1-5, doi:10.1103/PhysRevLett.119.147803
dc.identifier.issn1079-7114 (online)
dc.identifier.issn0031-9007 (print)
dc.identifier.otherdoi:10.1103/PhysRevLett.119.147803
dc.identifier.urihttp://hdl.handle.net/10019.1/104656
dc.language.isoen_ZAen_ZA
dc.publisherAmerican Physical Society
dc.rights.holderAmerican Physical Society
dc.subjectPolymersen_ZA
dc.subjectPattern recognition systemsen_ZA
dc.subjectHarmonic analysisen_ZA
dc.subjectEigenvaluesen_ZA
dc.subjectMatricesen_ZA
dc.subjectStochastic processesen_ZA
dc.titleGeneral criterion for harmonicityen_ZA
dc.typeArticleen_ZA
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