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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Main Authors: O.V.Patsahan, I.M.Mryglod
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2004-01-01
Series:Condensed Matter Physics
Subjects:
Online Access:http://dx.doi.org/10.5488/CMP.7.4.755
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spelling doaj-052e17d266724a3a806666d6760abaf32020-11-25T00:57:24ZengInstitute 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
collection DOAJ
language English
format Article
sources DOAJ
author O.V.Patsahan
I.M.Mryglod
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
author_facet O.V.Patsahan
I.M.Mryglod
author_sort O.V.Patsahan
title Phase diagram of the restricted primitive model: charge-ordering instability
title_short 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_sort phase diagram of the restricted primitive model: charge-ordering instability
publisher Institute for Condensed Matter Physics
series Condensed Matter Physics
issn 1607-324X
publishDate 2004-01-01
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.
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
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