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Rubinstein I. — Electro-diffusion of ions
Rubinstein I. — Electro-diffusion of ions

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Название: Electro-diffusion of ions

Автор: Rubinstein I.

Аннотация:

This is one of the first texts in which electro-diffusion of ions in its different aspects is considered as a unified subject. As a subject it is relevant to understanding the behavior of apparently different physical objects such as electrolyte solution, ion-exchangers, ion-selective membranes, and semiconductors. This text treats a selection of topics in electro-diffusion of ions in an aqueous medium - a nonlinear transport process whose essence is diffusion of ions combined with their migration in a selfconsistent electric field. Electro-Diffusion of Ions is intended to enhance the understanding of particular electro-diffusional transport phenomena and to spark the interest of the mathematical community in the corresponding area of applications and development of a unified scientific vision. Contains some previously unpublished results for electro-diffusional problems.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1987

Количество страниц: 263

Добавлена в каталог: 22.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Activity coefficient      41 141
Adsorption      63
Backflow      245
Backlund transformation      65
Bendixon test      211 213
Bifurcation      125 157 213 220 235
Bifurcation, analysis      125 247
Bifurcation, Hopf      213 224
Bifurcation, singular      220
Bifurcation, subcritical      216 220
Bifurcation, supercritical      216 220 235 236
Boltzmann distribution      174
Boltzmann equilibrium      38
Boundary layer      86
Bulk concentration      135
Bulk region      14
C-membrane      136
Cauchy problem      65 68 81 82 100
Cell model      40
Charge density, effective      51
Charge density, linear      24 37—39 51
Charge density, structural      54
Charge density, surface      30 238
Circulation      246 247
Colloid stability      23 30
Comparison theorem      26
Concentration polarization      133 137 139 148 152 170 177 185 201 248
Concentration, loading      80
Concentration, profiles      153
Concentration, typical      6
Conductivity, electric      6
Convection      7 155
Convergence, quadratic      97
Counterion      2 24 39—41
Counterion, capacity      3
Counterion, condensation      24 36 38
Counterion, selectivity      139
Current, continuity      17
Current, convection      5
Current, critical      209
Current, diffusion      5
Current, displacement      5 163
Current, fluctuation      136
Current, limiting      121 132 135 136 146 152 153
Current, saturation      119 125 157
Darcy law      237
Debye length      3 8 13 25 107 133 161 163 177 237
Debye — Hueckel equation      13 25
Debye — Hueckel limit      243
Depletion      147
Depletion, compartments      2
Depletion, interface      119 124
Depletion, layer      129 141 147
Diffusion, ambipolar      16
Diffusion, fast      64
Diffusion, layer      7 139 157
Diffusion, slow      64
Diffusivity      4
Diffusivity, effective      80 81 165
Diffusivity, ionic      4
Diffusivity, tensor      63
Diffusivity, typical      6
Diode      20
Dirichlet problem      27
Discharge      246
Dissociation      38
Donnan equilibrium      13
Donnan potential      13
Doping function      20
Doping layer      114
Doping level      114 194
Double layer, Electric      172 241 242 248
Double layer, equilibrium      175 177
Double layer, potential      13
Double layer, thickness      13
Electro-convection      7 18 136 203 247
Electro-diffusion, ambipolar      111
Electro-diffusion, convective      237
Electro-neutrality, approximation      59 133 135
Electro-neutrality, local      1 8 10 13 60 106 107
Electro-osmotic      7 18
Electro-osmotic, circulation      237 246 247
Electro-osmotic, coefficient      221
Electro-osmotic, factor      247
Electro-osmotic, flow      241
Electro-osmotic, oscillation      203 207
Electro-osmotic, slip      243 245 248
Electrodialysis cell      3 11
Electrolyte      20
Electrolyte, added      49
Electrolyte, binary      98
Electrolyte, low molecular, added      41
Electrolyte, solution      1 20
Electrolyte, supporting      136
Electrolyte, symmetric      26 38
Electron      20
Enrichment layer      129
Equilibrium      14 23 139 209 248
Equilibrium, constant      79
Equilibrium, electro-diffusional      23
Equilibrium, electrochemical      19
Equilibrium, ionic      1 98
Equilibrium, local      9 13 79 175
Equilibrium, mechanical      136 155 237
Equilibrium, point      209 213
Equilibrium, potential      13
Equilibrium, solution      200
Excluded volume equation      54
Fixed charge      2 5 38 60 162
Fixed charge, density      5 11 13 20 106 108 112
Flux, diffusional      9
Flux, ionic      3 14
Flux, ionic, modified      108
Flux, ionic, stationary      14
Flux, ionic, true      108
Flux, migration      9
Force, electric      5 6 19 25 30
Force, gravity      6
Force, potential      19
Force, saturation      36
Force, tangential, electric      242
Force, volume      6 154
Free energy      52
frequency      186
Front formation      78 87
Gui — Chapman equation      13
Henderson solution      165
Hierarchy, electro-diffusional      18
hole      20
Inhomogeneity, electric      136 147
INTERFACE      11
Interface, concentration      152 153
Interface, discontinuity      10
Interface, potential jump      13
Ion-exchange      64
Ion-exchange, beads      3
Ion-exchange, bed      3
Ion-exchange, binary      63 78
Ion-exchange, column      3
Ion-exchange, matrix      3 79
Ion-exchange, reactive      60 78
Ion-exchanger      1 20
Ion-exchanger, anion      20
Ion-exchanger, cation      20
Isocline      209 213
Junction, liquid      161 163
Junction, liquid, potential      162
Junction, p-n      162
Langmuir, equilibrium, local      79
Langmuir, isotherm      63
Limit cycle      211 213 220
Limit cycle, stable      216
Matrix      2
Matrix, polyanion      2
Maximum principle      26 29 45 73
mean field      41
Membrane      2 98
Membrane, anion-exchange      3
Membrane, anion-selective      2
Membrane, bipolar      20 162
Membrane, cation-exchange      3
Membrane, cation-selective      2
Membrane, composite      248
Membrane, composite, heterogeneous      246
Membrane, homogeneous      153 248
Membrane, inhomogeneous      155
Membrane, ion-exchange      1 3
Membrane, multipolar      105 111
Membrane, potential      63 98
Membrane, quadrupolar      20 106
Membrane, thickness      3
Migration      7 8
Mobility, ionic      4
Modulation, amplitude      192
Modulation, frequency      186
Navier — Stokes equation      4 5
Nernst — Planck equation      108 207
Nernst, film      7
Nernst, layer      147
Newton — Kantorovitch theorem      118
Newton, iterates      78 96 130
Newton, method      96
Ohm’s Law      5
Order parameter      52 53
Osmotic effect      243
Peclet number      7 223
Permeability, hydraulic      221
Permeability, ionic      16
Permselectivity      14
Permselectivity, ideal      140 150 181
Perturbation      61
Perturbation, singular      86
Phase, flow      213
Phase, integral      40
Phase, plane      211 213
Phase, transition      38 39 51 53
Picard’s method      97
Poiseille flow      221
Poisson equation      4 154
Poisson equation, nonlinear      26
Poisson — Boltzmann equation      18 19 23 25 37 38 40
Polarization curve      136
Polarography      135
Polyelectrolyte      1 37
Polyelectrolyte, core      37
Polyelectrolyte, cross-linked      2
Polyelectrolyte, linear      40
Polyelectrolyte, molecule      25
Polyelectrolyte, solution      2 38
Polymer, chain      38
Polymer, core      38
Polymer, film      2
Pore, aqueous      3
Pore, radius      3
Porous medium equation      63 64
Potential, ($\zeta$)      245
Potential, diffusion      18
Potential, drop, Ohmic      18
Potential, electric      10
Potential, electrochemical      10 11 98 134
Potential, standard      141
Potential, surface      39
Pressure      5 32 33 221 222 237 239
Pressure, force      33
Pressure, hydrostatic      203
Punch through      108 115 178 180
Quasilinearization      96 180
Rankine — Hugoniot condition      77
Rate constant      206
Rayleigh equation      208
Rectification      185 188 193
Rectification, anomalous      161 185
Relaxation law      206
Relaxation oscillation      205
Relaxation parameter      208
Repulsion force, electric      34
Resistance, differential, negative      113 119
Resistance, function      208
Resistance, instantaneous      206
Resistance, stationary      206 235
Saturation      30 39 129 146
Saturation, field      24
Saturation, force      24
Screening, linear      25 30
Screening, nonlinear      25
Selectivity, residual      146
Semiconductor      20 105
Shock      86 87
Similarity, solution      65 67 81
Similarity, transformation      68
Similarity, variable      65 66 68 83
Singularity      24 37—39 41
Singularity, limiting      46 49
Singularity, logarithmic      38
Size, ionic      19
Slip velocity      245
Space charge      4 8 25 133 154 157 162 170 241 248
Space charge, density      32 170 180
Space charge, front      161
Space charge, nonequilibrium      161 162 169 194 248
Stefan problem, diffusional      78
Stefan problem, one-phase      81
Teorell oscillation      207 247
Teorell — Meyer — Sievers model      98
Thyristor      20 111 112 114
Transition layer      37 82 198 199
Transition layer, solution      199 200
Turning point      113 114 121
Unstirred layer      147—149
Unstirred layer, thickness      7
Valency      40
Velocity, characteristic      7 239
Velocity, volumetric      205 206
Waiting time      64
Wave, equation      18
Wave, monotonic, travelling      65 69
Wave, thermal, propagation      64
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