Field theory of structured liquid dielectrics
We develop a field-theoretic approach for the treatment of both the nonlocal and the nonlinear response of structured liquid dielectrics. Our systems of interest are composed of dipolar solvent molecules and simple salt cations and anions. We describe them by two independent order parameters, the po...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2022-04-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.023033 |
| _version_ | 1797210769684692992 |
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| author | Ralf Blossey Rudolf Podgornik |
| author_facet | Ralf Blossey Rudolf Podgornik |
| author_sort | Ralf Blossey |
| collection | DOAJ |
| description | We develop a field-theoretic approach for the treatment of both the nonlocal and the nonlinear response of structured liquid dielectrics. Our systems of interest are composed of dipolar solvent molecules and simple salt cations and anions. We describe them by two independent order parameters, the polarization field for the solvent and the charge-density field for the ions, including and treating the nonelectrostatic part of the interactions explicitly and consistently. We show how to derive functionals for the polarization and the electrostatic field of increasingly finer scales and solve the resulting mean-field saddle-point equations in the linear regime. We derive criteria for the character of their solutions that depend on the structural lengths and the polarity of the solvent. Our approach provides a systematic way to derive generalized polarization theories. |
| first_indexed | 2024-04-24T10:15:52Z |
| format | Article |
| id | doaj.art-210dd2c3fc6545d7a24903e106d02314 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:15:52Z |
| publishDate | 2022-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-210dd2c3fc6545d7a24903e106d023142024-04-12T17:19:48ZengAmerican Physical SocietyPhysical Review Research2643-15642022-04-014202303310.1103/PhysRevResearch.4.023033Field theory of structured liquid dielectricsRalf BlosseyRudolf PodgornikWe develop a field-theoretic approach for the treatment of both the nonlocal and the nonlinear response of structured liquid dielectrics. Our systems of interest are composed of dipolar solvent molecules and simple salt cations and anions. We describe them by two independent order parameters, the polarization field for the solvent and the charge-density field for the ions, including and treating the nonelectrostatic part of the interactions explicitly and consistently. We show how to derive functionals for the polarization and the electrostatic field of increasingly finer scales and solve the resulting mean-field saddle-point equations in the linear regime. We derive criteria for the character of their solutions that depend on the structural lengths and the polarity of the solvent. Our approach provides a systematic way to derive generalized polarization theories.http://doi.org/10.1103/PhysRevResearch.4.023033 |
| spellingShingle | Ralf Blossey Rudolf Podgornik Field theory of structured liquid dielectrics Physical Review Research |
| title | Field theory of structured liquid dielectrics |
| title_full | Field theory of structured liquid dielectrics |
| title_fullStr | Field theory of structured liquid dielectrics |
| title_full_unstemmed | Field theory of structured liquid dielectrics |
| title_short | Field theory of structured liquid dielectrics |
| title_sort | field theory of structured liquid dielectrics |
| url | http://doi.org/10.1103/PhysRevResearch.4.023033 |
| work_keys_str_mv | AT ralfblossey fieldtheoryofstructuredliquiddielectrics AT rudolfpodgornik fieldtheoryofstructuredliquiddielectrics |