LEADER 04767nam 22006735 450 001 9910254588303321 005 20200701193452.0 010 $a981-10-6332-X 024 7 $a10.1007/978-981-10-6332-9 035 $a(CKB)4340000000223649 035 $a(DE-He213)978-981-10-6332-9 035 $a(MiAaPQ)EBC5152953 035 $a(PPN)221247122 035 $a(EXLCZ)994340000000223649 100 $a20171120d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStatistical Mechanics for Athermal Fluctuation $eNon-Gaussian Noise in Physics /$fby Kiyoshi Kanazawa 205 $a1st ed. 2017. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2017. 215 $a1 online resource (XVI, 222 p. 53 illus., 46 illus. in color.) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 311 $a981-10-6330-3 320 $aIncludes bibliographical references at the end of each chapters. 327 $aIntroduction to Physics of Fluctuation -- Markovian Stochastic Processes -- Kinetic Theory for Dilute Gas -- Langevin Equation and its Microscopic Derivation -- Stochastic Calculus for the Single-Trajectory Analysis -- Stochastic Energetics for Langevin Dynamics -- Microscopic Derivation of Linear Non-Gaussian Langevin Equation -- Analytical Solution to Non-linear Non-Gaussian Langevin Equation -- Stochastic Energetics for Non-Gaussian Stochastic Dynamics -- Energy Transport between Athermal Systems -- Energy Pumping from Athermal Systems -- Conclusion. 330 $aThe author investigates athermal fluctuation from the viewpoints of statistical mechanics in this thesis. Stochastic methods are theoretically very powerful in describing fluctuation of thermodynamic quantities in small systems on the level of a single trajectory and have been recently developed on the basis of stochastic thermodynamics. This thesis proposes, for the first time, a systematic framework to describe athermal fluctuation, developing stochastic thermodynamics for non-Gaussian processes, while thermal fluctuations are mainly addressed from the viewpoint of Gaussian stochastic processes in most of the conventional studies. First, the book provides an elementary introduction to the stochastic processes and stochastic thermodynamics. The author derives a Langevin-like equation with non-Gaussian noise as a minimal stochastic model for athermal systems, and its analytical solution by developing systematic expansions is shown as the main result. Furthermore, the au thor shows a thermodynamic framework for such non-Gaussian fluctuations, and studies some thermodynamics phenomena, i.e. heat conduction and energy pumping, which shows distinct characteristics from conventional thermodynamics. The theory introduced in the book would be a systematic foundation to describe dynamics of athermal fluctuation quantitatively and to analyze their thermodynamic properties on the basis of stochastic methods. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aThermodynamics 606 $aStatistical physics 606 $aDynamical systems 606 $aStatistics  606 $aMathematical physics 606 $aThermodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21050 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/S17020 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aThermodynamics. 615 0$aStatistical physics. 615 0$aDynamical systems. 615 0$aStatistics . 615 0$aMathematical physics. 615 14$aThermodynamics. 615 24$aComplex Systems. 615 24$aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aStatistical Physics and Dynamical Systems. 676 $a530.1592 700 $aKanazawa$b Kiyoshi$4aut$4http://id.loc.gov/vocabulary/relators/aut$0825148 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254588303321 996 $aStatistical Mechanics for Athermal Fluctuation$91991444 997 $aUNINA