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Transport of Brownian particles in a narrow, slowly varying serpentine channel

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TypeOfResource
Text
TitleInfo
Title
Transport of Brownian particles in a narrow, slowly varying serpentine channel
Name (type = personal)
NamePart (type = family)
Wang
NamePart (type = given)
Xinli
Affiliation
University of South Carolina Upstate
Role
RoleTerm (type = text); (authority = marcrt)
author
Name (type = personal); (authority = orcid); (authorityURI = http://id.loc.gov/vocabulary/identifiers/orcid.html); (valueURI = http://orcid.org/0000-0003-3860-7329)
NamePart (type = given)
German
Affiliation
Mechanical and Aerospace Engineering, Rutgers University
Role
RoleTerm (type = text); (authority = marcrt)
author
NamePart (type = family)
Drazer
Name (type = corporate); (authority = RutgersOrg-Department)
NamePart
Mechanical and Aerospace Engineering
Name (type = corporate); (authority = RutgersOrg-School)
NamePart
School of Engineering
Genre (authority = RULIB-FS)
Article, Non-refereed
Genre (authority = NISO JAV)
Version of Record (VoR)
OriginInfo
DateIssued (encoding = w3cdtf); (qualifier = exact); (keyDate = yes)
2015
Abstract (type = Abstract)
We study the transport of Brownian particles under a constant driving force and moving in channels that present a varying centerline but have constant aperture width (serpentine channels). We investigate two types of channels, solid channels, in which the particles are geometrically confined between solid walls and soft channels, in which the particles are confined by the potential energy landscape. We consider the limit of narrow, slowly varying channels, i.e., when the aperture and the variation in the position of the centerline are small compared to the length of a unit cell in the channel (wavelength). We use the method of asymptotic expansions to determine both the average velocity (or mobility) and the effective dispersion coefficient of the particles. We show that both solid and soft-channels have the same effects on the transport properties up to leading order correction. Including the next order correction, we obtain that the mobility in a solid-channel is smaller than that in a soft-channel. However, we discuss an alternative definition of the effective width of a soft channel that leads to equal mobilities up to second order terms. Interestingly, in both cases, the corrections to the mobility of the particles are independent of the P├ęclet number, and the Einstein-Smoluchowski relation is satisfied.
Language
LanguageTerm (authority = ISO 639-3:2007); (type = text)
English
PhysicalDescription
InternetMediaType
application/pdf
Extent
10 p.
Subject (authority = local)
Topic
Brownian motion
Subject (authority = local)
Topic
Narrow channel
Subject (authority = local)
Topic
Asymptotic methods
Extension
DescriptiveEvent
Type
Citation
DateTime (encoding = w3cdtf)
2015
AssociatedObject
Name
Journal of Chemical Physics
Type
Journal
Relationship
Has part
Detail
154114-
Identifier (type = volume and issue)
142,
Reference (type = url)
https://dx.doi.org/10.1063/1.4917020
Extension
DescriptiveEvent
Type
Grant award
AssociatedEntity
Role
Funder
Name
National Science Foundation
AssociatedEntity
Role
Originator
Name
German Drazer
AssociatedObject
Type
Grant number
Name
CBET-1339087
Note
Copyright 2015 AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.
RelatedItem (type = host)
TitleInfo
Title
Drazer, German
Identifier (type = local)
rucore30143000001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier (type = doi)
doi:10.7282/T35D8TTH
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Copyright for scholarly resources published in RUcore is retained by the copyright holder. By virtue of its appearance in this open access medium, you are free to use this resource, with proper attribution, in educational and other non-commercial settings. Other uses, such as reproduction or republication, may require the permission of the copyright holder.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
RightsEvent
Type
Permission or license
AssociatedObject
Type
License
Name
Multiple author license v. 1
Detail
I hereby grant to Rutgers, The State University of New Jersey (Rutgers) the non-exclusive right to retain, reproduce, and distribute the deposited work (Work) in whole or in part, in and from its electronic format, without fee. This agreement does not represent a transfer of copyright to Rutgers.Rutgers may make and keep more than one copy of the Work for purposes of security, backup, preservation, and access and may migrate the Work to any medium or format for the purpose of preservation and access in the future. Rutgers will not make any alteration, other than as allowed by this agreement, to the Work.I represent and warrant to Rutgers that the Work is my original work. I also represent that the Work does not, to the best of my knowledge, infringe or violate any rights of others.I further represent and warrant that I have obtained all necessary rights to permit Rutgers to reproduce and distribute the Work and that any third-party owned content is clearly identified and acknowledged within the Work.By granting this license, I acknowledge that I have read and agreed to the terms of this agreement and all related RUcore and Rutgers policies.
RightsEvent
Type
Publication notice
Detail
Copyright 2015 AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.
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RULTechMD (ID = TECHNICAL1)
ContentModel
Document
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