001439801 000__ 03503cam\a2200589\i\4500 001439801 001__ 1439801 001439801 003__ OCoLC 001439801 005__ 20230309004522.0 001439801 006__ m\\\\\o\\d\\\\\\\\ 001439801 007__ cr\un\nnnunnun 001439801 008__ 210922s2021\\\\sz\a\\\\ob\\\\000\0\eng\d 001439801 020__ $$a9783030807719$$q(electronic bk.) 001439801 020__ $$a3030807711$$q(electronic bk.) 001439801 020__ $$z9783030807702 001439801 020__ $$z3030807703 001439801 0247_ $$a10.1007/978-3-030-80771-9$$2doi 001439801 035__ $$aSP(OCoLC)1268683361 001439801 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dOCLCO$$dEBLCP$$dOCLCF$$dUKAHL$$dOCLCQ$$dCOM$$dOCLCO$$dN$T$$dSFB$$dOCLCQ 001439801 049__ $$aISEA 001439801 050_4 $$aQA402$$b.L67 2021 001439801 08204 $$a003/.76$$223 001439801 1001_ $$aLoos, Sarah A. M.,$$eauthor. 001439801 24510 $$aStochastic systems with time delay :$$bprobabilistic and thermodynamic descriptions of non-Markovian processes far from equilibrium /$$cSarah A.M. Loos. 001439801 264_1 $$aCham :$$bSpringer,$$c[2021] 001439801 264_4 $$c©2021 001439801 300__ $$a1 online resource :$$billustrations (chiefly color) 001439801 336__ $$atext$$btxt$$2rdacontent 001439801 337__ $$acomputer$$bc$$2rdamedia 001439801 338__ $$aonline resource$$bcr$$2rdacarrier 001439801 4901_ $$aSpringer theses,$$x2190-5061 001439801 500__ $$a"Doctoral thesis accepted by Technical University Berlin, Berlin, Germany." 001439801 504__ $$aIncludes bibliographical references. 001439801 5050_ $$aThe Langevin Equation -- Fokker-Planck Equations -- Stochastic Thermodynamics -- Infinite Fokker-Planck Hierarchy -- A Markovian Embedding- New Derivation of the Fokker-Planck Hierarchy. 001439801 506__ $$aAccess limited to authorized users. 001439801 520__ $$aThe nonequilibrium behavior of nanoscopic and biological systems, which are typically strongly fluctuating, is a major focus of current research. Lately, much progress has been made in understanding such systems from a thermodynamic perspective. However, new theoretical challenges emerge when the fluctuating system is additionally subject to time delay, e.g. due to the presence of feedback loops. This thesis advances this young and vibrant research field in several directions. The first main contribution concerns the probabilistic description of time-delayed systems; e.g. by introducing a versatile approximation scheme for nonlinear delay systems. Second, it reveals that delay can induce intriguing thermodynamic properties such as anomalous (reversed) heat flow. More generally, the thesis shows how to treat the thermodynamics of non-Markovian systems by introducing auxiliary variables. It turns out that delayed feedback is inextricably linked to nonreciprocal coupling, information flow, and to net energy input on the fluctuating level. 001439801 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed September 27, 2021). 001439801 650_0 $$aStochastic systems. 001439801 650_0 $$aTime delay systems. 001439801 650_0 $$aThermodynamics$$xMathematics. 001439801 650_6 $$aSystèmes stochastiques. 001439801 650_6 $$aSystèmes à retard. 001439801 650_6 $$aThermodynamique$$xMathématiques. 001439801 655_7 $$aLlibres electrònics.$$2thub 001439801 655_0 $$aElectronic books. 001439801 77608 $$iPrint version:$$aLoos, Sarah A.M.$$tStochastic systems with time delay.$$dCham : Springer, [2021]$$z3030807703$$z9783030807702$$w(OCoLC)1255465568 001439801 830_0 $$aSpringer theses.$$x2190-5061 001439801 852__ $$bebk 001439801 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-80771-9$$zOnline Access$$91397441.1 001439801 909CO $$ooai:library.usi.edu:1439801$$pGLOBAL_SET 001439801 980__ $$aBIB 001439801 980__ $$aEBOOK 001439801 982__ $$aEbook 001439801 983__ $$aOnline 001439801 994__ $$a92$$bISE