03927nam 22006735 450 991025460940332120200630105310.0981-287-811-410.1007/978-981-287-811-3(CKB)3710000000501342(EBL)4084546(SSID)ssj0001585420(PQKBManifestationID)16264735(PQKBTitleCode)TC0001585420(PQKBWorkID)14864983(PQKB)11314956(DE-He213)978-981-287-811-3(MiAaPQ)EBC4084546(PPN)190536942(EXLCZ)99371000000050134220151105d2016 u| 0engur|n|---|||||txtccrPhenomenological Structure for the Large Deviation Principle in Time-Series Statistics A method to control the rare events in non-equilibrium systems /by Takahiro Nemoto1st ed. 2016.Singapore :Springer Singapore :Imprint: Springer,2016.1 online resource (136 p.)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Description based upon print version of record.981-287-810-6 Includes bibliographical references.Phenomenological structure for the large deviation principle -- Iterative measurement-feedback procedure for large deviation statistics -- Common scaling functions in dynamical and quantum phase transitions -- van Zon-Cohen singularity and a negative inverse temperature -- Conclusions and future perspectives.This thesis describes a method to control rare events in non-equilibrium systems by applying physical forces to those systems but without relying on numerical simulation techniques, such as copying rare events. In order to study this method, the book draws on the mathematical structure of equilibrium statistical mechanics, which connects large deviation functions with experimentally measureable thermodynamic functions. Referring to this specific structure as the “phenomenological structure for the large deviation principle”, the author subsequently extends it to time-series statistics that can be used to describe non-equilibrium physics. The book features pedagogical explanations and also shows many open problems to which the proposed method can be applied only to a limited extent. Beyond highlighting these challenging problems as a point of departure, it especially offers an effective means of description for rare events, which could become the next paradigm of non-equilibrium statistical mechanics.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Statistical physicsDynamicsThermodynamicsMathematical physicsComplex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P33000Thermodynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21050Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Statistical Physics and Dynamical Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P19090Statistical physics.Dynamics.Thermodynamics.Mathematical physics.Complex Systems.Thermodynamics.Mathematical Physics.Statistical Physics and Dynamical Systems.530Nemoto Takahiroauthttp://id.loc.gov/vocabulary/relators/aut816197BOOK9910254609403321Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics1821457UNINA