Journal
JOURNAL OF COLLOID AND INTERFACE SCIENCE
Volume 284, Issue 2, Pages 753-758Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcis.2004.10.074
Keywords
electroosmotic flow; electric double layer (EDL); transient evolution Boltzmann equilibrium
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Funding
- NIDCR NIH HHS [1 U01 DE14961] Funding Source: Medline
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In most models for electrokinetic phenomena at charged interfaces, Boltzmann equilibrium is assumed to be established. Here we show that a long nanopore with significant double layer overlap establishes equilibrium quite slowly and that centimeter-long nanopores can take O(10(5)) s to establish Boltzmann equilibrium. The timescale is determined not by diffusion across the double layer, but by diffusion or convective transport along the length of the pore to reservoirs at its ends. An intermediate equilibrium state described by Qu and Li (J. Colloid Interface Sci. 224 (2000) 397) may exist for times between the (fast) EDL establishment timescale and (slow) axial transport timescale. (c) 2004 Elsevier Inc. All rights reserved.
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