Transport in one-dimensional Coulomb gases: From ion channels to nanopores
A. Kamenev, J. Zhang, A. I. Larkin, B. I. Shklovskii
Physics and Astronomy (Twin Cities)
William I. Fine Theoretical Physics Institute
We consider a class of systems where, due to the large mismatch of dielectric constants, the Coulomb interaction is approximately one-dimensional. Examples include ion channels in lipid membranes and water filled nanopores in silicon films. Charge transport across such systems possesses the activation behavior associated with the large electrostatic self-energy of a charge placed inside the channel. We show here that the activation barrier exhibits non-trivial dependence on the salt concentration in the surrounding water solution and on the length and radius of the channel.
Physica A: Statistical Mechanics and its Applications
https://doi.org/10.1016/j.physa.2005.05.097
We are grateful to A.L. Efros, M.M. Fogler, L.I. Glazman, A.Yu. Grosberg, A. Meller, S. Teber, Ch. Tian and M. Voloshin for numerous useful discussions. A.K. is supported by the A.P. Sloan foundation and the NSF Grant DMR-0405212. A.I.L. is supported by NSF Grants No. DMR-0120702 and DMR-0439026. B.I.S is supported by NSG Grant DMI-0210844.
Activation barrier
Charge transport
Ion channel
Nanopore
One-dimensional Coulomb gas
10.1016/j.physa.2005.05.097
Dive into the research topics of 'Transport in one-dimensional Coulomb gases: From ion channels to nanopores'. Together they form a unique fingerprint.
Nanopore Mathematics 100%
Coulomb Gas Mathematics 88%
Ion Channels Mathematics 84%
Activation Mathematics 66%
Water Mathematics 56%
Charge Transport Mathematics 46%
Coulomb Interaction Mathematics 45%
activation Physics & Astronomy 44%
Kamenev, A., Zhang, J., Larkin, A. I., & Shklovskii, B. I. (2006). Transport in one-dimensional Coulomb gases: From ion channels to nanopores. Physica A: Statistical Mechanics and its Applications, 359(1-4), 129-161. https://doi.org/10.1016/j.physa.2005.05.097
Transport in one-dimensional Coulomb gases : From ion channels to nanopores. / Kamenev, A.; Zhang, J.; Larkin, A. I. et al.
In: Physica A: Statistical Mechanics and its Applications, Vol. 359, No. 1-4, 01.01.2006, p. 129-161.
Kamenev, A, Zhang, J, Larkin, AI & Shklovskii, BI 2006, 'Transport in one-dimensional Coulomb gases: From ion channels to nanopores', Physica A: Statistical Mechanics and its Applications, vol. 359, no. 1-4, pp. 129-161. https://doi.org/10.1016/j.physa.2005.05.097
Kamenev A, Zhang J, Larkin AI, Shklovskii BI. Transport in one-dimensional Coulomb gases: From ion channels to nanopores. Physica A: Statistical Mechanics and its Applications. 2006 Jan 1;359(1-4):129-161. doi: 10.1016/j.physa.2005.05.097
Kamenev, A. ; Zhang, J. ; Larkin, A. I. et al. / Transport in one-dimensional Coulomb gases : From ion channels to nanopores. In: Physica A: Statistical Mechanics and its Applications. 2006 ; Vol. 359, No. 1-4. pp. 129-161.
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title = "Transport in one-dimensional Coulomb gases: From ion channels to nanopores",
abstract = "We consider a class of systems where, due to the large mismatch of dielectric constants, the Coulomb interaction is approximately one-dimensional. Examples include ion channels in lipid membranes and water filled nanopores in silicon films. Charge transport across such systems possesses the activation behavior associated with the large electrostatic self-energy of a charge placed inside the channel. We show here that the activation barrier exhibits non-trivial dependence on the salt concentration in the surrounding water solution and on the length and radius of the channel.",
keywords = "Activation barrier, Charge transport, Ion channel, Nanopore, One-dimensional Coulomb gas",
author = "A. Kamenev and J. Zhang and Larkin, {A. I.} and Shklovskii, {B. I.}",
note = "Funding Information: We are grateful to A.L. Efros, M.M. Fogler, L.I. Glazman, A.Yu. Grosberg, A. Meller, S. Teber, Ch. Tian and M. Voloshin for numerous useful discussions. A.K. is supported by the A.P. Sloan foundation and the NSF Grant DMR-0405212. A.I.L. is supported by NSF Grants No. DMR-0120702 and DMR-0439026. B.I.S is supported by NSG Grant DMI-0210844.",
doi = "10.1016/j.physa.2005.05.097",
journal = "Physica A: Statistical Mechanics and its Applications",
T1 - Transport in one-dimensional Coulomb gases
T2 - From ion channels to nanopores
AU - Larkin, A. I.
AU - Shklovskii, B. I.
N1 - Funding Information: We are grateful to A.L. Efros, M.M. Fogler, L.I. Glazman, A.Yu. Grosberg, A. Meller, S. Teber, Ch. Tian and M. Voloshin for numerous useful discussions. A.K. is supported by the A.P. Sloan foundation and the NSF Grant DMR-0405212. A.I.L. is supported by NSF Grants No. DMR-0120702 and DMR-0439026. B.I.S is supported by NSG Grant DMI-0210844.
N2 - We consider a class of systems where, due to the large mismatch of dielectric constants, the Coulomb interaction is approximately one-dimensional. Examples include ion channels in lipid membranes and water filled nanopores in silicon films. Charge transport across such systems possesses the activation behavior associated with the large electrostatic self-energy of a charge placed inside the channel. We show here that the activation barrier exhibits non-trivial dependence on the salt concentration in the surrounding water solution and on the length and radius of the channel.
AB - We consider a class of systems where, due to the large mismatch of dielectric constants, the Coulomb interaction is approximately one-dimensional. Examples include ion channels in lipid membranes and water filled nanopores in silicon films. Charge transport across such systems possesses the activation behavior associated with the large electrostatic self-energy of a charge placed inside the channel. We show here that the activation barrier exhibits non-trivial dependence on the salt concentration in the surrounding water solution and on the length and radius of the channel.
KW - Activation barrier
KW - Charge transport
KW - Ion channel
KW - Nanopore
KW - One-dimensional Coulomb gas
U2 - 10.1016/j.physa.2005.05.097
DO - 10.1016/j.physa.2005.05.097
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications