LEADER 01289nam0-2200433---450- 001 990000280480203316 005 20090526094203.0 010 $a0-12-398552-8 035 $a0028048 035 $aUSA010028048 035 $a(ALEPH)000028048USA01 035 $a0028048 100 $a20001023d1975----km-yaita-0103----ba 101 $aeng 102 $aUS 105 $a|||| ||||| 200 1 $a<> first course in stochastic processes$fSamuel Karlin, Howard M. Taylor 205 $a2. ed 210 $aNew York [etc.]$cAcademic press$dc1975. 215 $aXVI, 551 p.$d24 cm 606 $aProcessi stocastici 676 $a519.2 700 1$aKARLIN,$bSamuel$0462031 701 1$aTAYLOR,$bHoward M.$0103670 801 0$aIT$bUNFI$c19981019 912 $a990000280480203316 951 $a519.2 KAR$b15004 Ing.$c519$d00004949 951 $a519.2 KAR$b11411/CBS$c519.2$d00222172 959 $aBK 969 $aTEC 969 $aSCI 979 $aTAMI$b40$c20001023$lUSA01$h1744 979 $c20001110$lUSA01$h1716 979 $c20020403$lUSA01$h1636 979 $aPATRY$b90$c20040406$lUSA01$h1620 979 $aRSIAV6$b90$c20090526$lUSA01$h0941 979 $aRSIAV6$b90$c20090526$lUSA01$h0942 996 $aFirst course in stochastic processes$9880535 997 $aUNISA LEADER 03556nam 22006375 450 001 9910890190903321 005 20250807153217.0 010 $a3-031-67636-X 024 7 $a10.1007/978-3-031-67636-9 035 $a(MiAaPQ)EBC31692528 035 $a(Au-PeEL)EBL31692528 035 $a(CKB)36231092500041 035 $a(DE-He213)978-3-031-67636-9 035 $a(EXLCZ)9936231092500041 100 $a20240928d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aControlling Mesoscale Turbulence $eThe Impact of Translational and Rotational Constraints on Pattern Formation in Microswimmer Suspensions /$fby Henning Reinken 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (233 pages) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061 311 08$a3-031-67635-1 327 $aIntroduction -- Theoretical Concepts -- Derivation of a Continuum Theory -- Unconstrained Mesoscale Turbulence -- Reorienting External Fields -- Obstacle Lattices,- Conclusions and Outlook -- Appendix. 330 $aThis thesis combines methods from statistical physics and nonlinear dynamics to advance research on the pattern formation in active fluids in several directions. In particular, it focuses on mesoscale turbulence, a state observed in microswimmer suspensions, which is characterized by the emergence of dynamic vortex patterns. The first major contribution concerns the bottom-up derivation of a frequently used continuum model of mesoscale turbulence from a set of particle-resolved stochastic equations. Utilizing the model, mesoscale turbulence is shown to induce nontrivial transport properties including a regime of optimal diffusion. The thesis then explores possible strategies of control. One of these relies on an external field that leads to stripe-like structures and can even suppress patterns entirely. The other involves geometric confinement realized by strategically placed obstacles that can reorganize the flow into a variety of ordered vortex structures. The turbulence transition inside an obstacle lattice is shown to have an intriguing analogy to an equilibrium transition in the Ising universality class. As a whole, this thesis provides important contributions to the understanding and control of turbulence in active fluids, as well as outlining exciting future directions, including applications. It includes a substantial introduction to the topic, which is suitable for newcomers to the field. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061 606 $aSoft condensed matter 606 $aColloids 606 $aStatistical physics 606 $aSystem theory 606 $aSoft Materials 606 $aColloids 606 $aStatistical Physics 606 $aComplex Systems 606 $aFluids 615 0$aSoft condensed matter. 615 0$aColloids. 615 0$aStatistical physics. 615 0$aSystem theory. 615 14$aSoft Materials. 615 24$aColloids. 615 24$aStatistical Physics. 615 24$aComplex Systems. 615 24$aFluids. 676 $a620.19 700 $aReinken$b Henning$01772200 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910890190903321 996 $aControlling Mesoscale Turbulence$94272679 997 $aUNINA