LEADER 04465nam 22006135 450 001 9910410005703321 005 20250610110319.0 010 $a3-030-39871-4 024 7 $a10.1007/978-3-030-39871-2 035 $a(CKB)4100000010673829 035 $a(DE-He213)978-3-030-39871-2 035 $a(MiAaPQ)EBC6142257 035 $a(PPN)243223846 035 $a(MiAaPQ)EBC29092528 035 $a(EXLCZ)994100000010673829 100 $a20200319d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNon-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems $eDiffusive Epidemic Process and Fully Developed Turbulence /$fby Malo Tarpin 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XV, 207 p. 21 illus.) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 300 $a"Doctoral Thesis accepted by Universite? Grenoble Alpes, Grenoble, France"--Title page. 311 08$a3-030-39870-6 327 $aGeneral Introduction -- Universal Behaviors in the Diffusive Epidemic Process and in Fully Developed Turbulence -- Introduction to Non-perturbative Renormalization Group for Out-of-Equilibrium Field Theories -- Study of the Absorbing Phase Transition in DEP -- Breaking of Scale Invariance in Correlation Functions of Turbulence -- General Conclusion -- Appendices. 330 $aThis thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium. Two different systems are thereby studied. The first system is the diffusive epidemic process, a stochastic process which models the propagation of an epidemic within a population. This model exhibits a phase transition peculiar to out-of-equilibrium, between a stationary state where the epidemic is extinct and one where it survives. The present study helps to clarify subtle issues about the underlying symmetries of this process and the possible universality classes of its phase transition. The second system is fully developed homogeneous isotropic and incompressible turbulence. The stationary state of this driven-dissipative system shows an energy cascade whose phenomenology is complex, with partial scale-invariance, intertwined with what is called intermittency. In this work, analytical expressions for the space-time dependence of multi-point correlation functions of the turbulent state in 2- and 3-D are derived. This result is noteworthy in that it does not rely on phenomenological input except from the Navier-Stokes equation and that it becomes exact in the physically relevant limit of large wave-numbers. The obtained correlation functions show how scale invariance is broken in a subtle way, related to intermittency corrections. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aStatistical physics 606 $aProbabilities 606 $aPhase transformations (Statistical physics) 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aPhase Transitions and Multiphase Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P25099 615 0$aStatistical physics. 615 0$aProbabilities. 615 0$aPhase transformations (Statistical physics) 615 14$aStatistical Physics and Dynamical Systems. 615 24$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aProbability Theory and Stochastic Processes. 615 24$aPhase Transitions and Multiphase Systems. 676 $a530.13 700 $aTarpin$b Malo$4aut$4http://id.loc.gov/vocabulary/relators/aut$0843418 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910410005703321 996 $aNon-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems$91882039 997 $aUNINA