Screened electrostatics of charged particles on a water droplet
We study the electrostatic properties of charged particles trapped at an interface in a water-in-oil microemulsion. The electrostatic potential and the counterion distribution in the water droplet are given in terms of the ratio of the Debye screening length kappa(-1) and the droplet radius R. In th...
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| Veröffentlicht in: | The European physical journal. E, Soft matter and biological physics Soft matter and biological physics, 2006-01, Vol.19 (1), p.5-15 |
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| creator | WÜRGER, A |
| description | We study the electrostatic properties of charged particles trapped at an interface in a water-in-oil microemulsion. The electrostatic potential and the counterion distribution in the water droplet are given in terms of the ratio of the Debye screening length kappa(-1) and the droplet radius R. In the limit R-->infinity we recover the well-known results for a flat interface. Finite-size corrections are obtained in terms of the small parameter 1/kappaR. Part of the counterions spread along the interface and form a charged layer of one Debye length thickness. In particular, there is a uniform surface charge contribution. We derive explicit expressions for the electric field, the mobile charge density, and the charge-induced pressure on the interface. |
| doi_str_mv | 10.1140/epje/e2006-00002-y |
| format | Article |
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The electrostatic potential and the counterion distribution in the water droplet are given in terms of the ratio of the Debye screening length kappa(-1) and the droplet radius R. In the limit R-->infinity we recover the well-known results for a flat interface. Finite-size corrections are obtained in terms of the small parameter 1/kappaR. Part of the counterions spread along the interface and form a charged layer of one Debye length thickness. In particular, there is a uniform surface charge contribution. 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We derive explicit expressions for the electric field, the mobile charge density, and the charge-induced pressure on the interface.</description><subject>Biophysics</subject><subject>Charge density</subject><subject>Charged particles</subject><subject>Chemistry</subject><subject>Colloidal state and disperse state</subject><subject>Condensed Matter</subject><subject>Condensed matter physics</subject><subject>Debye length</subject><subject>Droplets</subject><subject>Electric fields</subject><subject>Electrostatics</subject><subject>Emulsions. Microemulsions. Foams</subject><subject>Exact sciences and technology</subject><subject>General and physical chemistry</subject><subject>Physical and chemical studies. Granulometry. Electrokinetic phenomena</subject><subject>Physics</subject><subject>Soft Condensed Matter</subject><subject>Surface charge</subject><subject>Water drops</subject><issn>1292-8941</issn><issn>1292-895X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNpdkVtLxDAQhYMo3v-AD1IQBR-quTXZPIks3mDBBxV8C9N0ol26bU26yv57s-6iYF4STr6ZYc4h5IjRC8YkvcR-ipfIKVU5TYfniw2yy7jh-cgUr5u_b8l2yF6M08SkMrFNdpiSTPFC7JKrJxcQW6wybNANoYsDDLWLWecz9w7hLf30EJLUYBLbDLIvGDBkVej6BocDsuWhiXi4vvfJy-3N8_g-nzzePYyvJ7mTQg95ZZz2PA01MFLajBxU2lFRUkCQ6L3hvihKQ1EZJrwqhQbHqafUMBDoSrFPzld936GxfahnEBa2g9reX0_sUqNUSCal_mSJPVuxfeg-5hgHO6ujw6aBFrt5tEorrrgpEnjyD5x289CmPSxXSlKlk6uJ4ivKJXdiQP87n1G7DMIug7A_QdifIOwiFR2vW8_LGVZ_JWvnE3C6BiA6aHyA1tXxj9MFM1oy8Q3CuZCZ</recordid><startdate>20060101</startdate><enddate>20060101</enddate><creator>WÜRGER, A</creator><general>Springer</general><general>Springer Nature B.V</general><general>EDP Sciences: EPJ</general><scope>IQODW</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>1XC</scope><scope>VOOES</scope><orcidid>https://orcid.org/0000-0003-1499-1960</orcidid></search><sort><creationdate>20060101</creationdate><title>Screened electrostatics of charged particles on a water droplet</title><author>WÜRGER, A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c437t-d9c7f24169a86798cad7c03b0aea4eff92f55b90e6913f6b37ac20f0091a3ecb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Biophysics</topic><topic>Charge density</topic><topic>Charged particles</topic><topic>Chemistry</topic><topic>Colloidal state and disperse state</topic><topic>Condensed Matter</topic><topic>Condensed matter physics</topic><topic>Debye length</topic><topic>Droplets</topic><topic>Electric fields</topic><topic>Electrostatics</topic><topic>Emulsions. Microemulsions. Foams</topic><topic>Exact sciences and technology</topic><topic>General and physical chemistry</topic><topic>Physical and chemical studies. Granulometry. Electrokinetic phenomena</topic><topic>Physics</topic><topic>Soft Condensed Matter</topic><topic>Surface charge</topic><topic>Water drops</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>WÜRGER, A</creatorcontrib><collection>Pascal-Francis</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>The European physical journal. 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| subjects | Biophysics Charge density Charged particles Chemistry Colloidal state and disperse state Condensed Matter Condensed matter physics Debye length Droplets Electric fields Electrostatics Emulsions. Microemulsions. Foams Exact sciences and technology General and physical chemistry Physical and chemical studies. Granulometry. Electrokinetic phenomena Physics Soft Condensed Matter Surface charge Water drops |
| title | Screened electrostatics of charged particles on a water droplet |
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