Phase diagram of the restricted primitive model: charge-ordering instability
We study the phase behaviour of the restricted primitive model (RPM) using a microscopic approach based on the method of collective variables with a reference system. Starting from the Hamiltonian of the RPM we derive the functional of the grand partition function given in terms of the two collectiv...
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| Format: | Article |
| Language: | English |
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Institute for Condensed Matter Physics
2004-01-01
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| Series: | Condensed Matter Physics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.5488/CMP.7.4.755 |
| _version_ | 1818852775453261824 |
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| author | O.V.Patsahan I.M.Mryglod |
| author_facet | O.V.Patsahan I.M.Mryglod |
| author_sort | O.V.Patsahan |
| collection | DOAJ |
| description | We study the phase behaviour of the restricted primitive model (RPM) using a microscopic approach based on the method of collective variables with a reference system. Starting from the Hamiltonian of the RPM we derive the functional of the grand partition function given in terms of the two collective variables: the collective variables ρ<sub>k</sub> and c<sub>k</sub> describing fluctuations of the total number density and charge density, respectively. Within the framework of the Gaussian approximation we found the boundary of stability with respect to fluctuations of the charge density. It is shown that due to the approximated character of the theory the boundary of stability is very sensitive to the particular choice of the long-range part of potential inside the hard core. This point is discussed in more detail. |
| first_indexed | 2024-12-19T07:26:17Z |
| format | Article |
| id | doaj.art-052e17d266724a3a806666d6760abaf3 |
| institution | Directory Open Access Journal |
| issn | 1607-324X |
| language | English |
| last_indexed | 2024-12-19T07:26:17Z |
| publishDate | 2004-01-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-052e17d266724a3a806666d6760abaf32022-12-21T20:30:49ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2004-01-017475576610.5488/CMP.7.4.755Phase diagram of the restricted primitive model: charge-ordering instabilityO.V.PatsahanI.M.MryglodWe study the phase behaviour of the restricted primitive model (RPM) using a microscopic approach based on the method of collective variables with a reference system. Starting from the Hamiltonian of the RPM we derive the functional of the grand partition function given in terms of the two collective variables: the collective variables ρ<sub>k</sub> and c<sub>k</sub> describing fluctuations of the total number density and charge density, respectively. Within the framework of the Gaussian approximation we found the boundary of stability with respect to fluctuations of the charge density. It is shown that due to the approximated character of the theory the boundary of stability is very sensitive to the particular choice of the long-range part of potential inside the hard core. This point is discussed in more detail.http://dx.doi.org/10.5488/CMP.7.4.755restricted primitive modelgas-liquid critical pointcharge-orderingmethod of collective variables |
| spellingShingle | O.V.Patsahan I.M.Mryglod Phase diagram of the restricted primitive model: charge-ordering instability Condensed Matter Physics restricted primitive model gas-liquid critical point charge-ordering method of collective variables |
| title | Phase diagram of the restricted primitive model: charge-ordering instability |
| title_full | Phase diagram of the restricted primitive model: charge-ordering instability |
| title_fullStr | Phase diagram of the restricted primitive model: charge-ordering instability |
| title_full_unstemmed | Phase diagram of the restricted primitive model: charge-ordering instability |
| title_short | Phase diagram of the restricted primitive model: charge-ordering instability |
| title_sort | phase diagram of the restricted primitive model charge ordering instability |
| topic | restricted primitive model gas-liquid critical point charge-ordering method of collective variables |
| url | http://dx.doi.org/10.5488/CMP.7.4.755 |
| work_keys_str_mv | AT ovpatsahan phasediagramoftherestrictedprimitivemodelchargeorderinginstability AT immryglod phasediagramoftherestrictedprimitivemodelchargeorderinginstability |