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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6315
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dc.contributor.authorRoy, Anjan-
dc.contributor.authorDhar, Abhishek-
dc.contributor.authorNarayan, Onuttom-
dc.contributor.authorSabhapandit, Sanjib-
dc.date.accessioned2015-10-07T12:43:02Z-
dc.date.available2015-10-07T12:43:02Z-
dc.date.issued2015-07-
dc.identifier.citationJournal of Statistical Physics, 2015, Vol.160, p73-88en
dc.identifier.issn0022-4715-
dc.identifier.issn1572-9613(Online)-
dc.identifier.urihttp://hdl.handle.net/2289/6315-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en
dc.description.abstractWe study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal distribution. The correlation functions are studied in finite systems, and their forms examined at short and long times. Various one-dimensional systems are studied. Results of numerical simulations for the Fermi–Pasta–Ulam chain are qualitatively similar to results for the harmonic chain, and agree unexpectedly well with a simple description in terms of linearized equations for damped fluctuating sound waves. Simulation results for the alternate mass hard particle gas reveal that—in contradiction to our earlier results (Roy et al. in J Stat Phys 150(5):851–866, 2013) with smaller system sizes—the diffusion constant slowly converges to a constant value, in a manner consistent with mode coupling theories. Our simulations also show that the behaviour of the Lennard–Jones gas depends on its density. At low densities, it behaves like a hard-particle gas, and at high densities like an anharmonic chain. In all the systems studied, the tagged particle was found to show normal diffusion asymptotically, with convergence times depending on the system under study. Finite size effects show up at time scales larger than sound traversal times, their nature being system-specific.en
dc.language.isoenen
dc.publisherSpringer Verlagen
dc.relation.urihttp://arxiv.org/abs/1405.5718en
dc.relation.urihttp://dx.doi.org/10.1007/s10955-015-1232-yen
dc.rights2015 Springer Verlagen
dc.subjectVelocity auto-correlation function (VAF)en
dc.subjectMean-squared displacement (MSD)en
dc.titleTagged particle diffusion in one-dimensional gas with Hamiltonian dynamics-IIen
dc.typeArticleen
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