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dc.contributor.advisorBernhardt, Debra
dc.contributor.authorPaneni, Carlo
dc.date.accessioned2018-01-23T02:52:08Z
dc.date.available2018-01-23T02:52:08Z
dc.date.issued2007
dc.identifier.doi10.25904/1912/2526
dc.identifier.urihttp://hdl.handle.net/10072/367288
dc.description.abstractWe conduct a comprehensive and systematic study of the temporal asymmetries of the fluctuations in properties of nonequilibrium, deterministic and reversible systems. Our motivation stems from the theories that predict asymmetry of fluctuation paths in stochastic dynamics. However, stochastic descriptions are an approximation in the sense that real systems obey deterministic reversible dynamics (at the classical level). In order to understand if the predicted asymmetry is an artifact of the stochastic model, we consider the results from studies of deterministic reversible systems composed of many particles. In order to examine these systems we used molecular dynamics simulations. We thoroughly investigate the presence of temporal asymmetry in the fluctuations of various properties in nonequilibrium, microscopic simulated systems, which are reversible and deterministic. We consider systems undergoing steady state Couette shear flow, and colour diffusion. For the first time we provide light on the particular path by which irreversibility emerges from microscopic reversible dynamics out of equilibrium. Asymmetry appears to be more accentuated in the larger the fluctuations. To assess the generality of temporal asymmetries in such deterministic systems, we consider identification of temporal asymmetries using differences of cross correlation functions: we establish from theoretical arguments and numerical evidence that a microscopic system undergoing colour diffusion exhibits asymmetry in a number of cross correlation functions. Furthermore we prove that some particular cross correlation functions have necessarily to be symmetric for a reversible and deterministic system to be regarded as “physical”. We then demonstrate how to mathematically express the fluctuation paths as a correlation function. We verify with strong numerical evidence that this equivalence holds for a simulated system. In light of this link between the asymmetry of correlation functions and that of fluctuation paths, we explain the presence of asymmetry in fluctuation paths via the transient time correlation formalism. We therefore give the first theoretical justification of the emergence of asymmetry in the fluctuations of microscopic deterministic and reversible systems. In this manner we are able to provide a sound theory to explain and characterize asymmetries in the fluctuations of mesoscopic systems. Finally we briefly outline possible future research directions.
dc.languageEnglish
dc.publisherGriffith University
dc.publisher.placeBrisbane
dc.rights.copyrightThe author owns the copyright in this thesis, unless stated otherwise.
dc.subject.keywordsFluctuations
dc.subject.keywordsNonequilibrium
dc.subject.keywordsSteady States
dc.subject.keywordsTemporal Asymmetries
dc.subject.keywordsDeterministic
dc.subject.keywordsReversible
dc.subject.keywordsStochastic
dc.titleTemporal Asymmetry of Fluctuations in Nonequilibrium Steady States
dc.typeGriffith thesis
gro.rights.copyrightThe author owns the copyright in this thesis, unless stated otherwise.
gro.hasfulltextFull Text
dc.contributor.otheradvisorJonhston, Peter
dc.rights.accessRightsPublic
gro.identifier.gurtIDgu1316059551750
gro.identifier.ADTnumberadt-QGU20071205.145514
gro.source.ADTshelfnoADT0603
gro.source.GURTshelfnoGURT
gro.thesis.degreelevelThesis (PhD Doctorate)
gro.thesis.degreeprogramDoctor of Philosophy (PhD)
gro.departmentSchool of Biomolecular and Physical Sciences
gro.griffith.authorPaneni, Carlo


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