LEADER 05170nam 2200613 450 001 9910830227203321 005 20230721004052.0 010 $a1-282-78443-9 010 $a9786612784439 010 $a3-527-62180-6 010 $a3-527-62181-4 035 $a(CKB)1000000000687748 035 $a(EBL)481885 035 $a(SSID)ssj0000354782 035 $a(PQKBManifestationID)11275385 035 $a(PQKBTitleCode)TC0000354782 035 $a(PQKBWorkID)10335778 035 $a(PQKB)10059661 035 $a(MiAaPQ)EBC481885 035 $a(OCoLC)214282047 035 $a(EXLCZ)991000000000687748 100 $a20160819h20082008 uy 0 101 0 $ager 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStatistical microhydrodynamics /$fEmmanuil G. Sinaiski and Leonid I. Zaichik 210 1$aWeinheim, [Germany] :$cWiley-VCH Verlag GmbH & Co. KGaA,$d2008. 210 4$d©2008 215 $a1 online resource (508 p.) 300 $aDescription based upon print version of record. 311 $a3-527-40656-5 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aStatistical Microhydrodynamics; Contents; Preface; Nomenclature; 1 Basic Concepts of the Probability Theory; 1.1 Events, Set of Events, and Probability; 1.2 Random Variables, Probability Distribution Function, Average Value, and Variance; 1.3 Generalized Functions; 1.4 Methods of Averaging; 1.5 Characteristic Functions; 1.6 Moments and Cumulants of Random Variables; 1.7 Correlation Functions; 1.8 Bernoulli, Poisson, and Gaussian Distributions; 1.9 Stationary Random Functions, Homogeneous Random Fields; 1.10 Isotropic Random Fields. Spectral Representation 327 $a1.11 Stochastic Processes. Markovian Processes. The Chapman-Kolmogorov Integral Equation1.12 The Chapman-Kolmogorov, Chapman-Feller, Fokker-Planck, and Liouville Differential Equations; 1.12.1 Derivation of the Differential Chapman-Kolmogorov Equation; 1.12.2 Discontinuous (""Jump"") Processes. The Kolmogorov-Feller Equation; 1.12.3 Diffusion Processes. The Fokker-Planck Equation; 1.12.4 Deterministic Processes. The Liouville Equation; 1.13 Stochastic Differential Equations. The Langevin Equation; 1.13.1 The Langevin Equation; 1.13.2 The Diffusion Equation 327 $a1.13.2.1 The Diffusion Equation with Chemical Reactions Taken into Account1.13.2.2 Brownian Motion of a Particle in a Hydrodynamic Medium; 1.14 Variational (Functional) Derivatives; 1.15 The Characteristic Functional; 2 Elements of Microhydrodynamics; 2.1 Motion of an Isolated Particle in a Quiescent Fluid; 2.2 Motion of an Isolated Particle in a Moving Fluid; 2.3 Motion of Two Particles in a Fluid; 2.3.1 Fluid is at Rest at the Infinity (v = 0); 2.3.2 Fluid is Moving at the Infinity (v 0); 2.4 Multi-Particle Motion; 2.5 Flow of a Fluid Through a Random Bed of Particles 327 $a3 Brownian Motion of Particles3.1 Random Walk of an Isolated Particle; 3.1.1 Isotropic Distribution; 3.1.2 Gaussian Distribution; 3.1.3 An Arbitrary Distribution ?(r) in the Limiting Case N»1; 3.2 Random Walk of an Ensemble of Particles; 3.3 Brownian Motion of a Free Particle in a Quiescent Fluid; 3.4 Brownian Motion of a Particle in an External Force Field; 3.5 The Smoluchowski Equation; 3.6 Brownian Motion of a Particle in a Moving Fluid; 3.7 Brownian Diffusion with Hydrodynamic Interactions; 3.8 Brownian Diffusion with Hydrodynamic Interactions and External Forces 327 $a3.8.1 High Peclet Numbers: Pe(ij)»13.8.2 Small Peclet Numbers, Pe(ij)«1; 3.9 Particle Sedimentation in a Monodisperse Dilute Suspension; 3.10 Particle Sedimentation in a Polydisperse Dilute Suspension, with Hydrodynamic and Molecular Interactions and Brownian Motion of Particles; 3.11 Transport Coefficients in Disperse Media; 3.11.1 Infinitely Dilute Suspension with Non-interacting Particles; 3.11.2 The Influence of Particle Interactions on Transport Coefficients; 3.12 Concentrated Disperse Media; 4 Turbulent Flow of Fluids; 4.1 General Information on Laminar and Turbulent Flows 327 $a4.2 The Momentum Equation for Viscous Incompressible Fluids 330 $aWritten by experienced practitioners and teachers, this concise and comprehensive treatment on particulate flow covers both the theory as well as applications and examples from the oil and chemical industry.Following a look at the basic concepts of probability theory, the authors goe on to examine the elements of microhydrodynamics, Brownian motion, and real liquids in turbulent flow.Of interest for lecturers in physics, theoretical physicists and chemists, as well as chemical engineers. 606 $aHydrodynamics$xStatistical methods 615 0$aHydrodynamics$xStatistical methods. 676 $a532.5 676 $a532/.0527 700 $aSinai?skii?$b E?. G$g(E?mmanuil Genrikhovich),$0866154 702 $aZai?chik$b L. I$g(Leonid Isaakovich), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910830227203321 996 $aStatistical microhydrodynamics$94021236 997 $aUNINA LEADER 02463oas 2200721 a 450 001 9911018167503321 005 20251106213014.0 011 $a1939-0319 035 $a(OCoLC)76821315 035 $a(CONSER) 2006230303 035 $a(CKB)39719829500041 035 $a(EXLCZ)9939719829500041 100 $a20061129b19932018 sa a 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aORI newsletter /$fOffice of Research Integrity, U.S. Public Health Service 210 1$aRockville, Md. :$cOffice of Research Integrity, U.S. Public Health Service,$d1993-2018. 215 $a1 online resource (volumes) 300 $aTitle from caption (viewed Jan. 12, 2006). 311 08$aORI newsletter (DLC)sn 94038464 (OCoLC)30549032 1939-0327 517 1 $aOffice of Research Integrity newsletter 517 1 $aNewsletter 531 0 $aORI newsl. 606 $aMedicine$xResearch$zUnited States 606 $aResearch$xMoral and ethical aspects$zUnited States 606 $aMedical research personnel$xProfessional ethics 606 $aMedical research personnel$xProfessional ethics$2fast$3(OCoLC)fst01014596 606 $aMedicine$xResearch$2fast$3(OCoLC)fst01015059 606 $aResearch$xMoral and ethical aspects$2fast$3(OCoLC)fst01095225 607 $aUnited States$2fast$1https://id.oclc.org/worldcat/entity/E39PBJtxgQXMWqmjMjjwXRHgrq 608 $aPeriodicals$2fast 615 0$aMedicine$xResearch 615 0$aResearch$xMoral and ethical aspects 615 0$aMedical research personnel$xProfessional ethics. 615 7$aMedical research personnel$xProfessional ethics. 615 7$aMedicine$xResearch. 615 7$aResearch$xMoral and ethical aspects. 676 $a610 712 02$aUnited States.$bOffice of the Assistant Secretary for Health.$bOffice of Research Integrity. 712 02$aUnited States.$bOffice of Public Health and Science.$bOffice of Research Integrity. 801 0$bGPO 801 1$bGPO 801 2$bDLC 801 2$bOCLCQ 801 2$bOCLCO 801 2$bOCLCF 801 2$bOCLCO 801 2$bVT2 801 2$bOCLCQ 801 2$bOCL 801 2$bOCLCQ 801 2$bGPO 801 2$bOCLCQ 801 2$bDLC 801 2$bOCLCL 801 2$bOCLCQ 906 $aJOURNAL 912 $a9911018167503321 996 $aORI newsletter$92063453 997 $aUNINA