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• W1977885957 abstract "The thermodynamic length gives a Riemannian metric to a system's phase space. Here we extend the traditional thermodynamic length to the information length (L) out of equilibrium and examine its properties. We utilise L as a useful methodology of analysing non-equilibrium systems without evoking conventional assumptions such as Gaussian statistics, detailed balance, priori-known constraints, or ergodicity and numerically examine how L evolves in time for the logistic map in the chaotic regime depending on initial conditions. To this end, we propose a discrete version of L which is mathematically well defined by taking a set theoretic approach. We identify the areas of phase space where the loss of information of the system takes place most rapidly. In particular, we present an interesting result that the unstable fixed points turn out to most efficiently drive the logistic map towards a stationary distribution through L." @default.
• W1977885957 created "2016-06-24" @default.
• W1977885957 creator A5007817207 @default.
• W1977885957 creator A5091466840 @default.
• W1977885957 date "2015-01-01" @default.
• W1977885957 modified "2023-09-25" @default.
• W1977885957 title "Investigation of the statistical distance to reach stationary distributions" @default.
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• W1977885957 doi "https://doi.org/10.1016/j.physleta.2014.11.003" @default.
• W1977885957 hasPublicationYear "2015" @default.
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