Irreversibility from staircases in symplectic embeddings

Anthony J. Creaco and Nikolaos Kalogeropoulos

Physica A: Statistical Mechanics and its Applications, 2019, vol. 513, issue C, 497-509

Abstract: We present an argument whose goal is to trace the origin of the macroscopically irreversible behavior of Hamiltonian systems of many degrees of freedom. We use recent flexibility and rigidity results of symplectic embeddings, quantified via the (stabilized) Fibonacci and Pell staircases, to encode the underlying breadth of the possible initial conditions, which alongside the multitude of degrees of freedom of the underlying system give rise to time-irreversibility.

Keywords: Irreversibility; Entropy; Symplectic geometry; Coarse graining; Initial conditions; Fibonacci staircase (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:513:y:2019:i:c:p:497-509

DOI: 10.1016/j.physa.2018.09.047

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