Turbulence and diffusion: scaling versus equations
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2008
|
| Schriftenreihe: | Springer series in synergetics
101 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 265 S. |
| ISBN: | 9783540682219 |
Internformat
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| 245 | 1 | 0 | |a Turbulence and diffusion |b scaling versus equations |c Oleg G. Bakunin |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2008 | |
| 300 | |a XV, 265 S. | ||
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| 650 | 4 | |a Fractals | |
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| 650 | 4 | |a Scaling laws (Statistical physics) | |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS PART I TURBULENT DIFFUSION CONCEPTS 1 INTRODUCTION 3 1.1
BROWNIAN MOTION, RANDOM WALKS, AND CORRELATION SCALES 3 1.2 THE FICK
TRANSPORT EQUATION 7 1.3 DIFFUSION AND THE CHARACTERISTIC VELOCITY SCALE
10 1.4 LAGRANGIAN DESCRIPTION OF TURBULENT DIFFUSION 13 2 TURBULENT
DIFFUSION AND SCALING 21 2. 1 CORRELATION FUNCTIONS AND SCALING 21 2.2
THE RICHARDSON LAW AND ANOMALOUS TRANSPORT 23 2.3 THE KOLMOGOROV
DESCRIPTION OF TURBULENCE 26 2.4 RELATIVE DIFFUSION AND SCALINGS 32 2.5
CASCADE PHENOMENOLOGY AND SCALAR SPECTRUM 34 3 NONLOCAL EFFECTS AND
DIFFUSION EQUATIONS 41 3. 1 THE EINSTEIN FUNCTIONAL EQUATION 41 3.2
NONLOCALITY AND LEVY-STABLE DISTRIBUTIONS 44 3.3 FRACTIONAL DERIVATIVES
AND ANOMALOUS DIFFUSION 47 3.4 THE MONIN NONLOCAL EQUATION 51 PART II
CORRELATION EFFECTS AND SCALINGS 4 DIFFUSIVE RENORMALIZATION AND
CORRELATIONS 57 4.1 THE CORRSIN INDEPENDENCE HYPOTHESIS 57 4.2 THE
CORRELATION FUNCTION AND ANOMALOUS DIFFUSION 60 4.3 SEED DIFFUSIVITY AND
CORRELATIONS 62 4.4 EFFECTIVE DIFFUSIVITY AND THE PECLET NUMBER 64 4.5
DIFFUSIVE RENORMALIZATION AND THE CORRELATION FUNCTION 66 XIV CONTENTS 5
DIFFUSION EQUATIONS AND THE QUASILINEAR APPROXIMATION 71 5.1 THE TAYLOR
DISPERSION 71 5.2 ADVECTION AND SCALAR TRANSPORT 75 5.3 ZELDOVICH FLOW
AND THE KUBO NUMBER 77 5.4 QUASILINEAR EQUATIONS 81 5.5 SHORT-RANGE AND
LONG-RANGE CORRELATIONS 83 5.6 THE TELEGRAPH EQUATION 84 6 RETUNI
EFFECTS AND RANDOM SHEAR FLOWS 87 6. 1 RETURNS AND CORRELATIONS 87 6.2
SUPERDIFFUSION AND RETURN EFFECTS 90 6.3 RANDOM SHEAR FLOWS AND
STOCHASTIC EQUATIONS 93 6.4 THE MANHATTAN-GRID FLOW AND TURBULENT
TRANSPORT 95 7 TURBULENCE OF MAGNETIC FIELD LINES 101 7.1 BASIC
EQUATIONS OF PLASMA 101 7.2 MAGNETIC FIELD EVOLUTION AND MAGNETIC
REYNOLDS NUMBER 104 7.3 MAGNETIC DIFFUSIVITY AND THE QUASILINEAR
APPROACH 106 7.4 STOCHASTIC MAGNETIC FIELD AND TRANSPORT SCALINGS 110
7.5 DIFFUSIVE RENORMALIZATION AND A BRADED MAGNETIC FIELD 112 8
STOCHASTIC INSTABILITY AND TURBULENCE 117 8.1 STOCHASTIC INSTABILITY AND
CORRELATIONS 117 8.2 QUASILINEAR SCALING FOR THE STOCHASTIC INSTABILITY
INCREMENT 119 8.3 THE RECHESTER-ROSENBLUTH MODEL 122 8.4 COLLISIONAL
EFFECTS AND TRANSPORT 124 8.5 THE QUASI-ISOTROPIE STOCHASTIC MAGNETIC
FIELD 127 9 ANOMALOUS TRANSPORT AND CONVECTIVE CELLS 131 9.1 CONVECTIVE
CELLS AND TURBULENT DIFFUSION 131 9.2 COMPLEX STRUCTURES AND THE
STATISTICAL TOPOGRAPHY 135 9.3 FLUCTUATION-DISSIPATIVE RELATION AND
TURBULENT MIXING 136 9.4 BOEHM SCALING AND ELECTRIC FIELD FLUCTUATIONS
138 9.5 DIFFUSIVE RENORMALIZATION AND CORRELATIONS 141 PART III FRACTALS
AND PERCOLATION TRANSPORT 10 FRACTAL AND PERCOLATION CONCEPTS 147 1 0.1
SELF-SIMILARITY AND THE FRACTAL DIMENSION 147 10.2 FRACTALITY AND
ANOMALOUS TRANSPORT 151 10.3 TURBULENCE SCALINGS AND FRACTALITY 153 10.4
PERCOLATION TRANSITION AND CORRELATIONS 157 10.5 CONTINUUM PERCOLATION
AND TRANSPORT 160 10.6 FINITE SIZE RENORMALIZATION AND SCALING 163
CONTENTS XV 11 PERCOLATION AND TURBULENT TRANSPORT 169 11.1 RANDOM
STEADY FLOWS AND SEED DIFFUSIVITY 169 11.2 REORGANIZATION OFFLOW
TOPOLOGY AND PERCOLATION SCALINGS 174 11.3 SPATIAL AND TEMPORAL
HIERARCHY OF SCALES 178 11.4 PERCOLATION IN DRIFT FLOWS 181 11.5 DRIFT
AND LOW-FREQUENCY REGIMES 184 11.6 RENORMALIZATION AND THE STOCHASTIC
INSTABILITY INCREMENT 187 11.7 STOCHASTIC MAGNETIC FIELD AND PERCOLATION
189 12 MULTISCALE APPROACH AND SCALINGS 193 12.1 THE NESTED HIERARCHY OF
SCALES AND DRIFT EFFECTS 193 12.2 THE BROWNIAN LANDSCAPE AND PERCOLATION
196 12.3 CORRELATIONS AND TRANSPORT SCALINGS 199 12.4 DIFFUSIVE
APPROXIMATION AND THE MULTISCALE MODEL 201 12.5 STOCHASTIC INSTABILITY
AND THE TEMPORAL HIERARCHY OF SCALES 203 12.6 ISOTROPIE AND ANISOTROPIE
MAGNETOHYDRODYNAMIC TURBULENCE 204 PART IV TRAPPING AND THE ESCAPE
PROBABILITY FORMALISM 13 SUBDIFFUSION AND TRAPPING 213 13.1 DIFFUSION IN
THE PRESENCE OF TRAPS 213 13.2 TRAPPING AND STRONG TURBULENCE 215 13.3
COMB STRUCTURES AND TRANSPORT 218 13.4 DOUBLE DIFFUSION AND RETURN
EFFECTS 220 14 CONTINUOUS TIME RANDOM WALKS AND TRANSPORT SCALINGS 223
14.1 THE MONTROLL AND WEISS APPROACH AND MEMORY EFFECTS 223 14.2
FRACTIONAL DIFFERENTIAL EQUATIONS 226 14.3 CORRELATION FUNCTION AND
WAITING TIME DISTRIBUTION 228 14.4 THE KLAFTER BLUMEN AND SHLESINGER
APPROXIMATION 230 14.5 STOCHASTIC MAGNETIC FIELD AND BALESCU APPROACH
233 14.6 LONGITUDINAL CORRELATIONS AND THE DIFFUSIVE APPROXIMATION 235
14.7 VORTEX STRUCTURES AND TRAPPING 238 15 CORRELATION AND PHASE-SPACE
243 15.1 KINETICS AND THE DIFFUSION EQUATION 243 15.2 PHASE SPACE AND
TRANSPORT SCALING 245 15.3 THE ONE-FLIGHT MODEL AND ANOMALOUS DIFFUSION
247 15.4 CORRELATIONS AND NONLOCAL VELOCITY DISTRIBUTION 249 15.5 THE
CORRSIN CONJECTURE AND PHASE-SPACE 252 REFERENCES 255 INDEX 263
|
| adam_txt |
CONTENTS PART I TURBULENT DIFFUSION CONCEPTS 1 INTRODUCTION 3 1.1
BROWNIAN MOTION, RANDOM WALKS, AND CORRELATION SCALES 3 1.2 THE FICK
TRANSPORT EQUATION 7 1.3 DIFFUSION AND THE CHARACTERISTIC VELOCITY SCALE
10 1.4 LAGRANGIAN DESCRIPTION OF TURBULENT DIFFUSION 13 2 TURBULENT
DIFFUSION AND SCALING 21 2. 1 CORRELATION FUNCTIONS AND SCALING 21 2.2
THE RICHARDSON LAW AND ANOMALOUS TRANSPORT 23 2.3 THE KOLMOGOROV
DESCRIPTION OF TURBULENCE 26 2.4 RELATIVE DIFFUSION AND SCALINGS 32 2.5
CASCADE PHENOMENOLOGY AND SCALAR SPECTRUM 34 3 NONLOCAL EFFECTS AND
DIFFUSION EQUATIONS 41 3. 1 THE EINSTEIN FUNCTIONAL EQUATION 41 3.2
NONLOCALITY AND LEVY-STABLE DISTRIBUTIONS 44 3.3 FRACTIONAL DERIVATIVES
AND ANOMALOUS DIFFUSION 47 3.4 THE MONIN NONLOCAL EQUATION 51 PART II
CORRELATION EFFECTS AND SCALINGS 4 DIFFUSIVE RENORMALIZATION AND
CORRELATIONS 57 4.1 THE CORRSIN INDEPENDENCE HYPOTHESIS 57 4.2 THE
CORRELATION FUNCTION AND ANOMALOUS DIFFUSION 60 4.3 SEED DIFFUSIVITY AND
CORRELATIONS 62 4.4 EFFECTIVE DIFFUSIVITY AND THE PECLET NUMBER 64 4.5
DIFFUSIVE RENORMALIZATION AND THE CORRELATION FUNCTION 66 XIV CONTENTS 5
DIFFUSION EQUATIONS AND THE QUASILINEAR APPROXIMATION 71 5.1 THE TAYLOR
DISPERSION 71 5.2 ADVECTION AND SCALAR TRANSPORT 75 5.3 ZELDOVICH FLOW
AND THE KUBO NUMBER 77 5.4 QUASILINEAR EQUATIONS 81 5.5 SHORT-RANGE AND
LONG-RANGE CORRELATIONS 83 5.6 THE TELEGRAPH EQUATION 84 6 RETUNI
EFFECTS AND RANDOM SHEAR FLOWS 87 6. 1 "RETURNS" AND CORRELATIONS 87 6.2
SUPERDIFFUSION AND RETURN EFFECTS 90 6.3 RANDOM SHEAR FLOWS AND
STOCHASTIC EQUATIONS 93 6.4 THE "MANHATTAN-GRID" FLOW AND TURBULENT
TRANSPORT 95 7 TURBULENCE OF MAGNETIC FIELD LINES 101 7.1 BASIC
EQUATIONS OF PLASMA 101 7.2 MAGNETIC FIELD EVOLUTION AND MAGNETIC
REYNOLDS NUMBER 104 7.3 MAGNETIC DIFFUSIVITY AND THE QUASILINEAR
APPROACH 106 7.4 STOCHASTIC MAGNETIC FIELD AND TRANSPORT SCALINGS 110
7.5 DIFFUSIVE RENORMALIZATION AND A BRADED MAGNETIC FIELD 112 8
STOCHASTIC INSTABILITY AND TURBULENCE 117 8.1 STOCHASTIC INSTABILITY AND
CORRELATIONS 117 8.2 QUASILINEAR SCALING FOR THE STOCHASTIC INSTABILITY
INCREMENT 119 8.3 THE RECHESTER-ROSENBLUTH MODEL 122 8.4 COLLISIONAL
EFFECTS AND TRANSPORT 124 8.5 THE QUASI-ISOTROPIE STOCHASTIC MAGNETIC
FIELD 127 9 ANOMALOUS TRANSPORT AND CONVECTIVE CELLS 131 9.1 CONVECTIVE
CELLS AND TURBULENT DIFFUSION 131 9.2 COMPLEX STRUCTURES AND THE
STATISTICAL TOPOGRAPHY 135 9.3 FLUCTUATION-DISSIPATIVE RELATION AND
TURBULENT MIXING 136 9.4 BOEHM SCALING AND ELECTRIC FIELD FLUCTUATIONS
138 9.5 DIFFUSIVE RENORMALIZATION AND CORRELATIONS 141 PART III FRACTALS
AND PERCOLATION TRANSPORT 10 FRACTAL AND PERCOLATION CONCEPTS 147 1 0.1
SELF-SIMILARITY AND THE FRACTAL DIMENSION 147 10.2 FRACTALITY AND
ANOMALOUS TRANSPORT 151 10.3 TURBULENCE SCALINGS AND FRACTALITY 153 10.4
PERCOLATION TRANSITION AND CORRELATIONS 157 10.5 CONTINUUM PERCOLATION
AND TRANSPORT 160 10.6 FINITE SIZE RENORMALIZATION AND SCALING 163
CONTENTS XV 11 PERCOLATION AND TURBULENT TRANSPORT 169 11.1 RANDOM
STEADY FLOWS AND SEED DIFFUSIVITY 169 11.2 REORGANIZATION OFFLOW
TOPOLOGY AND PERCOLATION SCALINGS 174 11.3 SPATIAL AND TEMPORAL
HIERARCHY OF SCALES 178 11.4 PERCOLATION IN DRIFT FLOWS 181 11.5 DRIFT
AND LOW-FREQUENCY REGIMES 184 11.6 RENORMALIZATION AND THE STOCHASTIC
INSTABILITY INCREMENT 187 11.7 STOCHASTIC MAGNETIC FIELD AND PERCOLATION
189 12 MULTISCALE APPROACH AND SCALINGS 193 12.1 THE NESTED HIERARCHY OF
SCALES AND DRIFT EFFECTS 193 12.2 THE BROWNIAN LANDSCAPE AND PERCOLATION
196 12.3 CORRELATIONS AND TRANSPORT SCALINGS 199 12.4 DIFFUSIVE
APPROXIMATION AND THE MULTISCALE MODEL 201 12.5 STOCHASTIC INSTABILITY
AND THE TEMPORAL HIERARCHY OF SCALES 203 12.6 ISOTROPIE AND ANISOTROPIE
MAGNETOHYDRODYNAMIC TURBULENCE 204 PART IV TRAPPING AND THE ESCAPE
PROBABILITY FORMALISM 13 SUBDIFFUSION AND TRAPPING 213 13.1 DIFFUSION IN
THE PRESENCE OF TRAPS 213 13.2 TRAPPING AND STRONG TURBULENCE 215 13.3
COMB STRUCTURES AND TRANSPORT 218 13.4 DOUBLE DIFFUSION AND RETURN
EFFECTS 220 14 CONTINUOUS TIME RANDOM WALKS AND TRANSPORT SCALINGS 223
14.1 THE MONTROLL AND WEISS APPROACH AND MEMORY EFFECTS 223 14.2
FRACTIONAL DIFFERENTIAL EQUATIONS 226 14.3 CORRELATION FUNCTION AND
WAITING TIME DISTRIBUTION 228 14.4 THE KLAFTER BLUMEN AND SHLESINGER
APPROXIMATION 230 14.5 STOCHASTIC MAGNETIC FIELD AND BALESCU APPROACH
233 14.6 LONGITUDINAL CORRELATIONS AND THE DIFFUSIVE APPROXIMATION 235
14.7 VORTEX STRUCTURES AND TRAPPING 238 15 CORRELATION AND PHASE-SPACE
243 15.1 KINETICS AND THE DIFFUSION EQUATION 243 15.2 PHASE SPACE AND
TRANSPORT SCALING 245 15.3 THE ONE-FLIGHT MODEL AND ANOMALOUS DIFFUSION
247 15.4 CORRELATIONS AND NONLOCAL VELOCITY DISTRIBUTION 249 15.5 THE
CORRSIN CONJECTURE AND PHASE-SPACE 252 REFERENCES 255 INDEX 263 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T21:44:48Z |
| indexdate | 2024-07-09T21:20:12Z |
| institution | BVB |
| isbn | 9783540682219 |
| language | English |
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| physical | XV, 265 S. |
| publishDate | 2008 |
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| publisher | Springer |
| record_format | marc |
| series | Springer series in synergetics |
| series2 | Springer series in synergetics Springer complexity |
| spelling | Bakunin, Oleg G. Verfasser aut Turbulence and diffusion scaling versus equations Oleg G. Bakunin Berlin [u.a.] Springer 2008 XV, 265 S. txt rdacontent n rdamedia nc rdacarrier Springer series in synergetics 101 Springer complexity Diffusion Fractals Magnetic traps Percolation (Statistical physics) Scaling laws (Statistical physics) Turbulence Turbulente Strömung (DE-588)4117265-6 gnd rswk-swf Anomale Diffusion (DE-588)4532384-7 gnd rswk-swf Diffusion (DE-588)4012277-3 gnd rswk-swf Anomale Diffusion (DE-588)4532384-7 s DE-604 Turbulente Strömung (DE-588)4117265-6 s Diffusion (DE-588)4012277-3 s Springer series in synergetics 101 (DE-604)BV000005271 101 OEBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016683173&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bakunin, Oleg G. Turbulence and diffusion scaling versus equations Springer series in synergetics Diffusion Fractals Magnetic traps Percolation (Statistical physics) Scaling laws (Statistical physics) Turbulence Turbulente Strömung (DE-588)4117265-6 gnd Anomale Diffusion (DE-588)4532384-7 gnd Diffusion (DE-588)4012277-3 gnd |
| subject_GND | (DE-588)4117265-6 (DE-588)4532384-7 (DE-588)4012277-3 |
| title | Turbulence and diffusion scaling versus equations |
| title_auth | Turbulence and diffusion scaling versus equations |
| title_exact_search | Turbulence and diffusion scaling versus equations |
| title_exact_search_txtP | Turbulence and diffusion scaling versus equations |
| title_full | Turbulence and diffusion scaling versus equations Oleg G. Bakunin |
| title_fullStr | Turbulence and diffusion scaling versus equations Oleg G. Bakunin |
| title_full_unstemmed | Turbulence and diffusion scaling versus equations Oleg G. Bakunin |
| title_short | Turbulence and diffusion |
| title_sort | turbulence and diffusion scaling versus equations |
| title_sub | scaling versus equations |
| topic | Diffusion Fractals Magnetic traps Percolation (Statistical physics) Scaling laws (Statistical physics) Turbulence Turbulente Strömung (DE-588)4117265-6 gnd Anomale Diffusion (DE-588)4532384-7 gnd Diffusion (DE-588)4012277-3 gnd |
| topic_facet | Diffusion Fractals Magnetic traps Percolation (Statistical physics) Scaling laws (Statistical physics) Turbulence Turbulente Strömung Anomale Diffusion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016683173&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005271 |
| work_keys_str_mv | AT bakuninolegg turbulenceanddiffusionscalingversusequations |