Screened Coulomb interactions of general macroions with nonzero particle volume
A semianalytical approach is developed to calculate the effective pair potential of rigid arbitrarily shaped macroions with a nonvanishing particle volume, valid within linear screening theory and the mean-field approximation. The essential ingredient for this framework is a mapping of the particle...
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033144 |
| _version_ | 1797211324543926272 |
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| author | Jeffrey C. Everts |
| author_facet | Jeffrey C. Everts |
| author_sort | Jeffrey C. Everts |
| collection | DOAJ |
| description | A semianalytical approach is developed to calculate the effective pair potential of rigid arbitrarily shaped macroions with a nonvanishing particle volume, valid within linear screening theory and the mean-field approximation. The essential ingredient for this framework is a mapping of the particle to a singular charge distribution with adjustable effective charge and shape parameters determined by the particle surface electrostatic potential. For charged spheres, this method reproduces the well-known Derjaguin-Landau-Verwey-Overbeek (DLVO) potential. Further exemplary benchmarks of the method for more complicated cases, like tori, triaxial ellipsoids, and additive torus-sphere mixtures, leads to accurate closed-form integral expressions for all particle separations and orientations. The findings are relevant for determining the phase behavior of macroions with experiments and simulations for various particle shapes. |
| first_indexed | 2024-04-24T10:24:41Z |
| format | Article |
| id | doaj.art-3af2e51a17a44e008d441bbd0d1a4f5d |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:24:41Z |
| publishDate | 2020-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-3af2e51a17a44e008d441bbd0d1a4f5d2024-04-12T16:57:50ZengAmerican Physical SocietyPhysical Review Research2643-15642020-07-012303314410.1103/PhysRevResearch.2.033144Screened Coulomb interactions of general macroions with nonzero particle volumeJeffrey C. EvertsA semianalytical approach is developed to calculate the effective pair potential of rigid arbitrarily shaped macroions with a nonvanishing particle volume, valid within linear screening theory and the mean-field approximation. The essential ingredient for this framework is a mapping of the particle to a singular charge distribution with adjustable effective charge and shape parameters determined by the particle surface electrostatic potential. For charged spheres, this method reproduces the well-known Derjaguin-Landau-Verwey-Overbeek (DLVO) potential. Further exemplary benchmarks of the method for more complicated cases, like tori, triaxial ellipsoids, and additive torus-sphere mixtures, leads to accurate closed-form integral expressions for all particle separations and orientations. The findings are relevant for determining the phase behavior of macroions with experiments and simulations for various particle shapes.http://doi.org/10.1103/PhysRevResearch.2.033144 |
| spellingShingle | Jeffrey C. Everts Screened Coulomb interactions of general macroions with nonzero particle volume Physical Review Research |
| title | Screened Coulomb interactions of general macroions with nonzero particle volume |
| title_full | Screened Coulomb interactions of general macroions with nonzero particle volume |
| title_fullStr | Screened Coulomb interactions of general macroions with nonzero particle volume |
| title_full_unstemmed | Screened Coulomb interactions of general macroions with nonzero particle volume |
| title_short | Screened Coulomb interactions of general macroions with nonzero particle volume |
| title_sort | screened coulomb interactions of general macroions with nonzero particle volume |
| url | http://doi.org/10.1103/PhysRevResearch.2.033144 |
| work_keys_str_mv | AT jeffreyceverts screenedcoulombinteractionsofgeneralmacroionswithnonzeroparticlevolume |