Transport in one-dimensional Coulomb gases: From ion channels to nanopores

A. Kamenev; J. Zhang; A. I. Larkin; B. I. Shklovskii

doi:10.1016/j.physa.2005.05.097

Transport in one-dimensional Coulomb gases: From ion channels to nanopores

A. Kamenev, J. Zhang, A. I. Larkin, B. I. Shklovskii

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

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.

Original language	English (US)
Pages (from-to)	129-161
Number of pages	33
Journal	Physica A: Statistical Mechanics and its Applications
Volume	359
Issue number	1-4
DOIs	https://doi.org/10.1016/j.physa.2005.05.097
State	Published - Jan 1 2006

Bibliographical 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.

Keywords

Activation barrier
Charge transport
Ion channel
Nanopore
One-dimensional Coulomb gas

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10.1016/j.physa.2005.05.097

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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.",

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T1 - Transport in one-dimensional Coulomb gases

T2 - From ion channels to nanopores

AU - Kamenev, A.

AU - Zhang, J.

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.

PY - 2006/1/1

Y1 - 2006/1/1

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

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U2 - 10.1016/j.physa.2005.05.097

DO - 10.1016/j.physa.2005.05.097

M3 - Article

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SN - 0378-4371

VL - 359

SP - 129

EP - 161

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-4

ER -

Transport in one-dimensional Coulomb gases: From ion channels to nanopores

Abstract

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Keywords

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