An analytical and computational study of a stochastic adsorption model with variable attachment and detachment rates

We present a stochastic model for adsorption and evaporation of monomers with applications to optical coatings. We consider a general case of attachment and detachment rates dependent on the overall number of particles in the system. The model is applicable to all dimensions and topologies, and can...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. Conference series 2015-01, Vol.574 (1), p.12087-4
Main Authors: Mazilu, D A, Schwen, E M, Mazilu, I
Format: Article
Language:English
Subjects:
Adsorption
Attachment
Computer simulation
Density
Detachment
Evaporation rate
Mathematical analysis
Mathematical models
Monomers
Optical coatings
Particle density (concentration)
Physics
Stochastic models
Stochasticity
Topology
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites cdi_FETCH-LOGICAL-c311t-6fcc9939255daa301c4bb7f9a7ed64dccde45585dd83674b4bcd1f2b8c8f06a63
container_end_page 4
container_issue 1
container_start_page 12087
container_title Journal of physics. Conference series
container_volume 574
creator Mazilu, D A
Schwen, E M
Mazilu, I
description We present a stochastic model for adsorption and evaporation of monomers with applications to optical coatings. We consider a general case of attachment and detachment rates dependent on the overall number of particles in the system. The model is applicable to all dimensions and topologies, and can describe a variety of two-state physical systems. We report analytical results for the time-dependent particle density. We compare our analytical results with experimental data and Monte Carlo simulations.
doi_str_mv 10.1088/1742-6596/574/1/012087
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1753509741</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1753509741</sourcerecordid><originalsourceid>FETCH-LOGICAL-c311t-6fcc9939255daa301c4bb7f9a7ed64dccde45585dd83674b4bcd1f2b8c8f06a63</originalsourceid><addsrcrecordid>eNpdkctOwzAQRSMEEqXwC8gSGzaldvzMsqp4SZXYwNqa2I6aKomD7YD697gUdcFs5s7M0SzuLYpbgh8IVmpJJCsXgldiySVbkiUmJVbyrJidDucnrdRlcRXjDmOaS86KtBoQDNDtU2ugy9Ii4_txSpBan_copsnukW8QZOnNFmImEdjow3hAUO-t69B3m7boC0ILdecQpARm27sh_X607jQGSC5eFxcNdNHd_PV58fH0-L5-WWzenl_Xq83CUELSQjTGVBWtSs4tAMXEsLqWTQXSWcGsMdYxzhW3VlEhWc1qY0lT1sqoBgsQdF7cH_-OwX9OLibdt9G4roPB-SlqIjnluJKMZPTuH7rzU8gGRF1yKQhlFaeZEkfKBB9jcI0eQ9tD2GuC9SEMffBZHzzXOQxN9DEM-gOb7X9x</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2576134953</pqid></control><display><type>article</type><title>An analytical and computational study of a stochastic adsorption model with variable attachment and detachment rates</title><source>Publicly Available Content Database</source><source>Free Full-Text Journals in Chemistry</source><creator>Mazilu, D A ; Schwen, E M ; Mazilu, I</creator><creatorcontrib>Mazilu, D A ; Schwen, E M ; Mazilu, I</creatorcontrib><description>We present a stochastic model for adsorption and evaporation of monomers with applications to optical coatings. We consider a general case of attachment and detachment rates dependent on the overall number of particles in the system. The model is applicable to all dimensions and topologies, and can describe a variety of two-state physical systems. We report analytical results for the time-dependent particle density. We compare our analytical results with experimental data and Monte Carlo simulations.</description><identifier>ISSN: 1742-6588</identifier><identifier>EISSN: 1742-6596</identifier><identifier>DOI: 10.1088/1742-6596/574/1/012087</identifier><language>eng</language><publisher>Bristol: IOP Publishing</publisher><subject>Adsorption ; Attachment ; Computer simulation ; Density ; Detachment ; Evaporation rate ; Mathematical analysis ; Mathematical models ; Monomers ; Optical coatings ; Particle density (concentration) ; Physics ; Stochastic models ; Stochasticity ; Topology</subject><ispartof>Journal of physics. Conference series, 2015-01, Vol.574 (1), p.12087-4</ispartof><rights>2015. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c311t-6fcc9939255daa301c4bb7f9a7ed64dccde45585dd83674b4bcd1f2b8c8f06a63</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2576134953?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,25753,27924,27925,37012,37013,44590</link.rule.ids></links><search><creatorcontrib>Mazilu, D A</creatorcontrib><creatorcontrib>Schwen, E M</creatorcontrib><creatorcontrib>Mazilu, I</creatorcontrib><title>An analytical and computational study of a stochastic adsorption model with variable attachment and detachment rates</title><title>Journal of physics. Conference series</title><description>We present a stochastic model for adsorption and evaporation of monomers with applications to optical coatings. We consider a general case of attachment and detachment rates dependent on the overall number of particles in the system. The model is applicable to all dimensions and topologies, and can describe a variety of two-state physical systems. We report analytical results for the time-dependent particle density. We compare our analytical results with experimental data and Monte Carlo simulations.</description><subject>Adsorption</subject><subject>Attachment</subject><subject>Computer simulation</subject><subject>Density</subject><subject>Detachment</subject><subject>Evaporation rate</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Monomers</subject><subject>Optical coatings</subject><subject>Particle density (concentration)</subject><subject>Physics</subject><subject>Stochastic models</subject><subject>Stochasticity</subject><subject>Topology</subject><issn>1742-6588</issn><issn>1742-6596</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNpdkctOwzAQRSMEEqXwC8gSGzaldvzMsqp4SZXYwNqa2I6aKomD7YD697gUdcFs5s7M0SzuLYpbgh8IVmpJJCsXgldiySVbkiUmJVbyrJidDucnrdRlcRXjDmOaS86KtBoQDNDtU2ugy9Ii4_txSpBan_copsnukW8QZOnNFmImEdjow3hAUO-t69B3m7boC0ILdecQpARm27sh_X607jQGSC5eFxcNdNHd_PV58fH0-L5-WWzenl_Xq83CUELSQjTGVBWtSs4tAMXEsLqWTQXSWcGsMdYxzhW3VlEhWc1qY0lT1sqoBgsQdF7cH_-OwX9OLibdt9G4roPB-SlqIjnluJKMZPTuH7rzU8gGRF1yKQhlFaeZEkfKBB9jcI0eQ9tD2GuC9SEMffBZHzzXOQxN9DEM-gOb7X9x</recordid><startdate>20150121</startdate><enddate>20150121</enddate><creator>Mazilu, D A</creator><creator>Schwen, E M</creator><creator>Mazilu, I</creator><general>IOP Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>L7M</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>7U5</scope><scope>8BQ</scope><scope>JG9</scope></search><sort><creationdate>20150121</creationdate><title>An analytical and computational study of a stochastic adsorption model with variable attachment and detachment rates</title><author>Mazilu, D A ; Schwen, E M ; Mazilu, I</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c311t-6fcc9939255daa301c4bb7f9a7ed64dccde45585dd83674b4bcd1f2b8c8f06a63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Adsorption</topic><topic>Attachment</topic><topic>Computer simulation</topic><topic>Density</topic><topic>Detachment</topic><topic>Evaporation rate</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Monomers</topic><topic>Optical coatings</topic><topic>Particle density (concentration)</topic><topic>Physics</topic><topic>Stochastic models</topic><topic>Stochasticity</topic><topic>Topology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mazilu, D A</creatorcontrib><creatorcontrib>Schwen, E M</creatorcontrib><creatorcontrib>Mazilu, I</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Aerospace Database</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>ProQuest advanced technologies &amp; aerospace journals</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Materials Research Database</collection><jtitle>Journal of physics. Conference series</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mazilu, D A</au><au>Schwen, E M</au><au>Mazilu, I</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An analytical and computational study of a stochastic adsorption model with variable attachment and detachment rates</atitle><jtitle>Journal of physics. Conference series</jtitle><date>2015-01-21</date><risdate>2015</risdate><volume>574</volume><issue>1</issue><spage>12087</spage><epage>4</epage><pages>12087-4</pages><issn>1742-6588</issn><eissn>1742-6596</eissn><abstract>We present a stochastic model for adsorption and evaporation of monomers with applications to optical coatings. We consider a general case of attachment and detachment rates dependent on the overall number of particles in the system. The model is applicable to all dimensions and topologies, and can describe a variety of two-state physical systems. We report analytical results for the time-dependent particle density. We compare our analytical results with experimental data and Monte Carlo simulations.</abstract><cop>Bristol</cop><pub>IOP Publishing</pub><doi>10.1088/1742-6596/574/1/012087</doi><tpages>4</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1742-6588
ispartof Journal of physics. Conference series, 2015-01, Vol.574 (1), p.12087-4
issn 1742-6588
1742-6596
language eng
recordid cdi_proquest_miscellaneous_1753509741
source Publicly Available Content Database; Free Full-Text Journals in Chemistry
subjects Adsorption
Attachment
Computer simulation
Density
Detachment
Evaporation rate
Mathematical analysis
Mathematical models
Monomers
Optical coatings
Particle density (concentration)
Physics
Stochastic models
Stochasticity
Topology
title An analytical and computational study of a stochastic adsorption model with variable attachment and detachment rates
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-28T22%3A42%3A43IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=An%20analytical%20and%20computational%20study%20of%20a%20stochastic%20adsorption%20model%20with%20variable%20attachment%20and%20detachment%20rates&rft.jtitle=Journal%20of%20physics.%20Conference%20series&rft.au=Mazilu,%20D%20A&rft.date=2015-01-21&rft.volume=574&rft.issue=1&rft.spage=12087&rft.epage=4&rft.pages=12087-4&rft.issn=1742-6588&rft.eissn=1742-6596&rft_id=info:doi/10.1088/1742-6596/574/1/012087&rft_dat=%3Cproquest_cross%3E1753509741%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c311t-6fcc9939255daa301c4bb7f9a7ed64dccde45585dd83674b4bcd1f2b8c8f06a63%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2576134953&rft_id=info:pmid/&rfr_iscdi=true