-
1
-
-
0002846341
-
Pumping liquids using asymmetric electrode arrays
-
10.1103/PhysRevE.61.R45
-
Ajdari A. Pumping liquids using asymmetric electrode arrays. Phys. Rev. E 2000, 61(1):R45-R48. 10.1103/PhysRevE.61.R45
-
(2000)
Phys. Rev. E
, vol.61
, Issue.1
-
-
Ajdari, A.1
-
2
-
-
78650697296
-
Homogenization of the linearized ionic transport equations in rigid periodic porous media
-
10.1063/1.3521555
-
Allaire G. Mikelić A. Piatnitski A. Homogenization of the linearized ionic transport equations in rigid periodic porous media. J. Math. Phys. 2010, 51(12):123103. 10.1063/1.3521555
-
(2010)
J. Math. Phys.
, vol.51
, Issue.12
, pp. 123103
-
-
Allaire, G.1
Mikelić, A.2
Piatnitski, A.3
-
4
-
-
42749109091
-
Diffuse-charge dynamics in electrochemical systems
-
10.1103/PhysRevE.70.021506
-
Bazant M.Z. Thornton K. Ajdari A. Diffuse-charge dynamics in electrochemical systems. Phys. Rev. E 2004, 70:021506. 10.1103/PhysRevE.70.021506
-
(2004)
Phys. Rev. E
, vol.70
, pp. 021506
-
-
Bazant, M.Z.1
Thornton, K.2
Ajdari, A.3
-
6
-
-
48949092301
-
Effective permittivity of porous media: A critical analysis of the complex refractive index model
-
10.1111/j.1365-2478.2008.00724.x
-
Brovelli A. Cassiani G. Effective permittivity of porous media: A critical analysis of the complex refractive index model. Geophys. Prospect. 2008, 56(5):715-727. 10.1111/j.1365-2478.2008.00724.x
-
(2008)
Geophys. Prospect.
, vol.56
, Issue.5
, pp. 715-727
-
-
Brovelli, A.1
Cassiani, G.2
-
7
-
-
64649086349
-
Ionic current rectification, breakdown, and switching in heterogeneous oxide nanofluidic devices
-
10.1021/nn8007542
-
Cheng L.-J. Guo L.J. Ionic current rectification, breakdown, and switching in heterogeneous oxide nanofluidic devices. ACS Nano 2009, 3(3):575-584. 10.1021/nn8007542
-
(2009)
ACS Nano
, vol.3
, Issue.3
, pp. 575-584
-
-
Cheng, L.-J.1
Guo, L.J.2
-
9
-
-
80052464443
-
Overlimiting current in a microchannel
-
10.1103/PhysRevLett.107.118301
-
Dydek E.V. Zaltzman B. Rubinstein I. Deng D.S. Mani A. Bazant M.Z. Overlimiting current in a microchannel. Phys. Rev. Lett. 2011, 107(11):118301. 10.1103/PhysRevLett.107.118301
-
(2011)
Phys. Rev. Lett.
, vol.107
, Issue.11
, pp. 118301
-
-
Dydek, E.V.1
Zaltzman, B.2
Rubinstein, I.3
Deng, D.S.4
Mani, A.5
Bazant, M.Z.6
-
10
-
-
0033199195
-
From structure to function in open ionic channels
-
10.1007/s002329900554
-
Eisenberg R.S. From structure to function in open ionic channels. J. Membr. Biol. 1999, 171(1):1-24. 10.1007/s002329900554
-
(1999)
J. Membr. Biol.
, vol.171
, Issue.1
, pp. 1-24
-
-
Eisenberg, R.S.1
-
11
-
-
0034916397
-
Electrodiffusion model of rectangular current pulses in ionic channels of cellular membranes
-
10.1137/S0036139999351645
-
Gardner C.L. Jerome J.W. Eisenberg R.S. Electrodiffusion model of rectangular current pulses in ionic channels of cellular membranes. SIAM J. Appl. Math. 2000, 61(3):792-802. 10.1137/S0036139999351645
-
(2000)
SIAM J. Appl. Math.
, vol.61
, Issue.3
, pp. 792-802
-
-
Gardner, C.L.1
Jerome, J.W.2
Eisenberg, R.S.3
-
12
-
-
70349620978
-
The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation
-
10.1007/s00205-008-0186-5
-
Gianazza U. Savaré G. Toscani G. The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation. Arch. Ration. Mech. Anal. 2009, 194(1):133-220. 10.1007/s00205-008-0186-5
-
(2009)
Arch. Ration. Mech. Anal.
, vol.194
, Issue.1
, pp. 133-220
-
-
Gianazza, U.1
Savaré, G.2
Toscani, G.3
-
13
-
-
36849111237
-
Membrane transport characteristics of ultrafine capillaries
-
10.1063/1.1669814
-
Gross R.J. Osterle J.F. Membrane transport characteristics of ultrafine capillaries. J. Chem. Phys. 1968, 49(1):228-234. 10.1063/1.1669814
-
(1968)
J. Chem. Phys.
, vol.49
, Issue.1
, pp. 228-234
-
-
Gross, R.J.1
Osterle, J.F.2
-
14
-
-
78650424371
-
Kramers' formula for chemical reactions in the context of Wasserstein gradient flows
-
Herrmann M. Niethammer B. Kramers' formula for chemical reactions in the context of Wasserstein gradient flows. Commun. Math. Sci. 2011, 9(2):623-635.
-
(2011)
Commun. Math. Sci.
, vol.9
, Issue.2
, pp. 623-635
-
-
Herrmann, M.1
Niethammer, B.2
-
15
-
-
0025446963
-
Nonlinear ionic diffusion through charged polymeric gels
-
10.1137/0150048
-
Holmes M.H. Nonlinear ionic diffusion through charged polymeric gels. SIAM J. Appl. Math. 1990, 50(3):839-852. 10.1137/0150048
-
(1990)
SIAM J. Appl. Math.
, vol.50
, Issue.3
, pp. 839-852
-
-
Holmes, M.H.1
-
16
-
-
36849134136
-
Effective diffusion constant in a polyelectrolyte solution
-
10.1063/1.1733791
-
Jackson J.L. Coriell S.R. Effective diffusion constant in a polyelectrolyte solution. J. Chem. Phys. 1963, 38(4):959. 10.1063/1.1733791
-
(1963)
J. Chem. Phys.
, vol.38
, Issue.4
, pp. 959
-
-
Jackson, J.L.1
Coriell, S.R.2
-
17
-
-
0032343437
-
The variational formulation of the Fokker-Planck equation
-
10.1137/S0036141096303359
-
Jordan R. Kinderlehrer D. Otto F. The variational formulation of the Fokker-Planck equation. SIAM J. Math. Anal. 1998, 29(1):1. 10.1137/S0036141096303359
-
(1998)
SIAM J. Math. Anal.
, vol.29
, Issue.1
, pp. 1
-
-
Jordan, R.1
Kinderlehrer, D.2
Otto, F.3
-
18
-
-
33748996747
-
Homogenization of the ionic transport equations in periodic porous media
-
10.1007/s11242-005-6080-9
-
Looker J.R. Carnie S.L. Homogenization of the ionic transport equations in periodic porous media. Transp. Porous Media 2006, 65(1):107-131. 10.1007/s11242-005-6080-9
-
(2006)
Transp. Porous Media
, vol.65
, Issue.1
, pp. 107-131
-
-
Looker, J.R.1
Carnie, S.L.2
-
19
-
-
0037666297
-
Low dielectric constant materials for microelectronics
-
10.1063/1.1567460
-
Maex K. Baklanov M.R. Shamiryan D. Lacopi F. Brongersma S.H. Yanovitskaya Z.S. Low dielectric constant materials for microelectronics. J. Appl. Phys. 2003, 93(11):8793-8841. 10.1063/1.1567460
-
(2003)
J. Appl. Phys.
, vol.93
, Issue.11
, pp. 8793-8841
-
-
Maex, K.1
Baklanov, M.R.2
Shamiryan, D.3
Lacopi, F.4
Brongersma, S.H.5
Yanovitskaya, Z.S.6
-
20
-
-
84855290024
-
Deionization shocks in microstructures
-
10.1103/PhysRevE.84.061504
-
Mani A. Bazant M.Z. Deionization shocks in microstructures. Phys. Rev. E 2011, 84:061504. 10.1103/PhysRevE.84.061504
-
(2011)
Phys. Rev. E
, vol.84
, pp. 061504
-
-
Mani, A.1
Bazant, M.Z.2
-
21
-
-
0036901228
-
Electro-chemo-mechanical couplings in swelling clays derived from a micro/macro-homogenization procedure
-
10.1016/S0020-7683(02)00461-4
-
Moyne C. Murad M.A. Electro-chemo-mechanical couplings in swelling clays derived from a micro/macro-homogenization procedure. Int. J. Solids Struct. 2002, 39:6159-6190. 10.1016/S0020-7683(02)00461-4
-
(2002)
Int. J. Solids Struct.
, vol.39
, pp. 6159-6190
-
-
Moyne, C.1
Murad, M.A.2
-
22
-
-
4644228328
-
Macroscale modeling of cartilage: mixture theory versus homogenization
-
Moyne C.C. Murad M.A. Macroscale modeling of cartilage: mixture theory versus homogenization. Biorheology 2004, 41(3-4):215-22.
-
(2004)
Biorheology
, vol.41
, Issue.3-4
, pp. 215-22
-
-
Moyne, C.C.1
Murad, M.A.2
-
23
-
-
6744227162
-
Electrophoretic mobility of a spherical colloidal particle
-
10.1039/f29787401607
-
O'Brien R.W. White L.R. Electrophoretic mobility of a spherical colloidal particle. J. Chem. Soc., Faraday Trans. 1 1978, 74:1607. 10.1039/f29787401607
-
(1978)
J. Chem. Soc., Faraday Trans. 1
, vol.74
, pp. 1607
-
-
O'Brien, R.W.1
White, L.R.2
-
24
-
-
36149006492
-
Reciprocal relations in irreversible processes. i
-
10.1103/PhysRev.37.405
-
Onsager L. Reciprocal relations in irreversible processes. i. Phys. Rev. 1931, 37:405-426. 10.1103/PhysRev.37.405
-
(1931)
Phys. Rev.
, vol.37
, pp. 405-426
-
-
Onsager, L.1
-
25
-
-
36149006040
-
Reciprocal relations in irreversible processes. ii
-
10.1103/PhysRev.38.2265
-
Onsager L. Reciprocal relations in irreversible processes. ii. Phys. Rev. 1931, 38:2265-2279. 10.1103/PhysRev.38.2265
-
(1931)
Phys. Rev.
, vol.38
, pp. 2265-2279
-
-
Onsager, L.1
-
27
-
-
59849091786
-
Electrodiffusive transport in charged porous media: From the particle-level scale to the macroscopic scale using volume averaging
-
10.1615/JPorMedia.v12.i2.10
-
Pivonka P. Narsilio G.A. Li R. Smith D.W. Gardiner B. Electrodiffusive transport in charged porous media: From the particle-level scale to the macroscopic scale using volume averaging. J. Porous Media 2009, 12(2):101-118. 10.1615/JPorMedia.v12.i2.10
-
(2009)
J. Porous Media
, vol.12
, Issue.2
, pp. 101-118
-
-
Pivonka, P.1
Narsilio, G.A.2
Li, R.3
Smith, D.W.4
Gardiner, B.5
-
28
-
-
0028372270
-
Transport in ordered and disordered porous media ii: Generalized volume averaging
-
10.1007/BF00615200
-
Quintard M. Whitaker S. Transport in ordered and disordered porous media ii: Generalized volume averaging. Transp. Porous Media 1994, 14:179-206. 10.1007/BF00615200
-
(1994)
Transp. Porous Media
, vol.14
, pp. 179-206
-
-
Quintard, M.1
Whitaker, S.2
-
29
-
-
84874713085
-
Variable choices of scaling in the homogenization of a Nernst-Planck-Poisson problem
-
preprint No. 344 (University of Erlangen).
-
Ray N. Eck C. Muntean A. Knabner P. Variable choices of scaling in the homogenization of a Nernst-Planck-Poisson problem. 2011, preprint No. 344 (University of Erlangen).
-
(2011)
-
-
Ray, N.1
Eck, C.2
Muntean, A.3
Knabner, P.4
-
30
-
-
84856746775
-
Rigorous homogenization of a Stokes-Nernst-Planck-Poisson system
-
10.1016/j.jmaa.2012.01.052
-
Ray N. Muntean A. Knabner P. Rigorous homogenization of a Stokes-Nernst-Planck-Poisson system. J. Math. Anal. Appl. 2012, 390(1):374-393. 10.1016/j.jmaa.2012.01.052
-
(2012)
J. Math. Anal. Appl.
, vol.390
, Issue.1
, pp. 374-393
-
-
Ray, N.1
Muntean, A.2
Knabner, P.3
-
31
-
-
0039928514
-
Homogenization in mechanics: A survey of solved and open problems
-
Sanchez-Palencia E. Homogenization in mechanics: A survey of solved and open problems. Rend. Semin. Mat. Torino 1986, 44(1):1-46.
-
(1986)
Rend. Semin. Mat. Torino
, vol.44
, Issue.1
, pp. 1-46
-
-
Sanchez-Palencia, E.1
-
33
-
-
68249147825
-
Analysis of the Navier-Stokes-Nernst-Planck-Poisson system
-
10.1142/S0218202509003693
-
Schmuck M. Analysis of the Navier-Stokes-Nernst-Planck-Poisson system. Math. Models. Meth. Appl. Sci. 2009, 19(6):993. 10.1142/S0218202509003693
-
(2009)
Math. Models. Meth. Appl. Sci.
, vol.19
, Issue.6
, pp. 993
-
-
Schmuck, M.1
-
34
-
-
79953056462
-
Modeling and deriving porous media Stokes-Poisson-Nernst-Planck equations by a multiple-scale approach
-
Schmuck M. Modeling and deriving porous media Stokes-Poisson-Nernst-Planck equations by a multiple-scale approach. Commun. Math. Sci. 2011, 9(3):685-710.
-
(2011)
Commun. Math. Sci.
, vol.9
, Issue.3
, pp. 685-710
-
-
Schmuck, M.1
-
35
-
-
84858267328
-
First error bounds for the porous media approximation of the Poisson-Nernst-Planck equations
-
10.1002/zamm.201100003
-
Schmuck M. First error bounds for the porous media approximation of the Poisson-Nernst-Planck equations. Z. Angew. Math. Mech. 2012, 92(4):304-319. 10.1002/zamm.201100003
-
(2012)
Z. Angew. Math. Mech.
, vol.92
, Issue.4
, pp. 304-319
-
-
Schmuck, M.1
-
36
-
-
0038487348
-
Ion transport through asymmetric nanopores prepared by ion track etching
-
10.1016/S0168-583X(03)00884-X
-
Siwy Z. Apel P. Dobrev D. Neumann R. Ion transport through asymmetric nanopores prepared by ion track etching. Science 2003, 208:143-148. 10.1016/S0168-583X(03)00884-X
-
(2003)
Science
, vol.208
, pp. 143-148
-
-
Siwy, Z.1
Apel, P.2
Dobrev, D.3
Neumann, R.4
-
38
-
-
0023033970
-
Flow in porous media I: A theoretical derivation of Darcy's law
-
10.1007/BF01036523
-
Whitaker S. Flow in porous media I: A theoretical derivation of Darcy's law. Transp. Porous Med. 1986, 1:3-25. 10.1007/BF01036523
-
(1986)
Transp. Porous Med.
, vol.1
, pp. 3-25
-
-
Whitaker, S.1
|