Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/24494
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dc.contributor.authorHoover, WG-
dc.contributor.authorHoover, CG-
dc.contributor.authorSmith, ER-
dc.date.accessioned2022-04-25T10:38:54Z-
dc.date.available2022-01-01-
dc.date.available2022-04-25T10:38:54Z-
dc.date.issued2022-01-01-
dc.identifier.citationHoover, W.G.; Hoover, C.G.; Smith, E.R. Nonequilibrium Time Reversibility with Maps and Walks. Entropy 2022, 24, 78. https://doi.org/10.3390/e24010078en_US
dc.identifier.issn1099-4300-
dc.identifier.urihttp://bura.brunel.ac.uk/handle/2438/24494-
dc.description.abstractTime-reversible dynamical simulations of nonequilibrium systems exemplify both Loschmidt’s and Zermélo’s paradoxes. That is, computational time-reversible simulations invariably produce solutions consistent with the irreversible Second Law of Thermodynamics (Loschmidt’s) as well as periodic in the time (Zermélo’s, illustrating Poincaré recurrence). Understanding these paradoxical aspects of time-reversible systems is enhanced here by studying the simplest pair of such model systems. The first is time-reversible, but nevertheless dissipative and periodic, the piecewise-linear compressible Baker Map. The fractal properties of that two-dimensional map are mirrored by an even simpler example, the one-dimensional random walk, confined to the unit interval. As a further puzzle the two models yield ambiguities in determining the fractals’ information dimensions. These puzzles, including the classical paradoxes, are reviewed and explored here.en_US
dc.description.sponsorshipEPSRCen_US
dc.language.isoenen_US
dc.publisherMDPI-
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/-
dc.subjectNonequilibrium simulationsen_US
dc.subjectTime reversibilityen_US
dc.subjectFractalsen_US
dc.subjectBaker mapsen_US
dc.subjectRandom walksen_US
dc.titleNonequilibrium Time Reversibility with Maps and Walksen_US
dc.typeArticleen_US
dc.identifier.doihttp://dx.doi.org/10.3390/e24010078-
dc.relation.isPartOfEntropy-
pubs.issue1-
pubs.publication-statusPublished-
pubs.volume24-
dc.identifier.eissn1099-4300-
Appears in Collections:Dept of Mechanical and Aerospace Engineering Research Papers

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