LEADER 03927nam 22006735 450 001 9910254609403321 005 20200630105310.0 010 $a981-287-811-4 024 7 $a10.1007/978-981-287-811-3 035 $a(CKB)3710000000501342 035 $a(EBL)4084546 035 $a(SSID)ssj0001585420 035 $a(PQKBManifestationID)16264735 035 $a(PQKBTitleCode)TC0001585420 035 $a(PQKBWorkID)14864983 035 $a(PQKB)11314956 035 $a(DE-He213)978-981-287-811-3 035 $a(MiAaPQ)EBC4084546 035 $a(PPN)190536942 035 $a(EXLCZ)993710000000501342 100 $a20151105d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPhenomenological Structure for the Large Deviation Principle in Time-Series Statistics $eA method to control the rare events in non-equilibrium systems /$fby Takahiro Nemoto 205 $a1st ed. 2016. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2016. 215 $a1 online resource (136 p.) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 300 $aDescription based upon print version of record. 311 $a981-287-810-6 320 $aIncludes bibliographical references. 327 $aPhenomenological 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. 330 $aThis thesis describes a method to control rare events in non-equilibrium systems by applying physical forces to those systems but without relying on numerical simulation techniques, such as copying rare events. In order to study this method, the book draws on the mathematical structure of equilibrium statistical mechanics, which connects large deviation functions with experimentally measureable thermodynamic functions. Referring to this specific structure as the ?phenomenological structure for the large deviation principle?, the author subsequently extends it to time-series statistics that can be used to describe non-equilibrium physics. The book features pedagogical explanations and also shows many open problems to which the proposed method can be applied only to a limited extent. Beyond highlighting these challenging problems as a point of departure, it especially offers an effective means of description for rare events, which could become the next paradigm of non-equilibrium statistical mechanics. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aStatistical physics 606 $aDynamics 606 $aThermodynamics 606 $aMathematical physics 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aThermodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21050 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aStatistical physics. 615 0$aDynamics. 615 0$aThermodynamics. 615 0$aMathematical physics. 615 14$aComplex Systems. 615 24$aThermodynamics. 615 24$aMathematical Physics. 615 24$aStatistical Physics and Dynamical Systems. 676 $a530 700 $aNemoto$b Takahiro$4aut$4http://id.loc.gov/vocabulary/relators/aut$0816197 906 $aBOOK 912 $a9910254609403321 996 $aPhenomenological Structure for the Large Deviation Principle in Time-Series Statistics$91821457 997 $aUNINA