Perfect Screening for Charged Systems

Blum, L.; Gruber, C.; Lebowitz, Joel L.; Martin, Ph. A.

doi:10.1103/physrevlett.48.1769

Cited by 79 publications

(34 citation statements)

References 7 publications

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“…The agreement for βe 2 σ up to 16 is quite good, and much better than the HNC theory [26] which does not easily converge or the INV-C of Duh and Haymet [25] which is shown in figure 1. However, in our theory the error in the last point is sizable, and we have no explanation for this at the time, other than the suspicion that this may be a consequence of the failure to satisfy the PST [23].…”

Section: The Contact Pair Distribution Functionmentioning

confidence: 85%

Towards an analytical theory for charged hard spheres

Blum¹,

Veloz²

2007

Condens. Matter Phys.

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Ion mixtures require an exclusion core to avoid collapse. The Debye Hueckel (DH) theory, where ions are point charges, is accurate only in the limit of infinite dilution. The mean spherical approximation (MSA) is the embedding of hard cores into DH, and is valid for higher densities. The properties of any ionic mixture can be represented by the single screening parameter Γ which for the equal ionic size restricted model is obtained from the Debye parameter κ. This Γ representation, the binding mean spherical approximation (BIMSA), is also valid for complex / associating systems, such as the general n-polyelectrolytes. The BIMSA is the only theory that satisfies the infinite dilution limit of the DH theory for any chain length. Furthermore, the contact pair distribution function calculated from our theory agrees with the Monte Carlo of Bresme ea.(Phys. Rev. E, 1995, 51, 289).

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Section: The Contact Pair Distribution Functionmentioning

confidence: 85%

Towards an analytical theory for charged hard spheres

Blum¹,

Veloz²

2007

Condens. Matter Phys.

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“…Otherwise the partition function, and therefore all the thermodynamic functions, will be a͒ divergent. 9 The size of the region where this charge shielding occurs depends not only on the electrostatics, but also on all the other interactions of the system. For spherical ions this means:…”

Section: Introductionmentioning

confidence: 99%

Variational mean spherical scaling approximation for nonspherical molecules: The case of dimers

Velázquez

Blum

1999

The Journal of Chemical Physics

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Articles you may be interested inDevelopment of an equation of state for electrolyte solutions by combining the statistical associating fluid theory and the mean spherical approximation for the nonprimitive modelThe variational mean spherical scaling approximation ͑VMSSA͒ is extended to nonspherical objects in ionic solutions. The mean spherical approximation ͑MSA͒ and the binding mean spherical approximation ͑BIMSA͒ are extensions of the linearized Poisson-Boltzmann ͑or Debye-Hückel͒ approximation that treat the excluded volume of all the ions in the system in a symmetric and consistent way. For systems with Coulomb and screened Coulomb interactions in a variety of mean spherical derived approximations, it has been recently shown that the solution of the Ornstein-Zernike ͑OZ͒ equation is given in terms of a screening parameter matrix ⌫ = . This includes the ''primitive'' model of electrolytes, in which the solvent is a continuum dielectric, but also models in which the solvent is a dipolar hard sphere, and much more recently the YUKAGUA model of water that reproduces the known neutron diffraction experiments of water quite well. The MSA can be deduced from a variational principle in which the energy is obtained from simple electrostatic considerations and the entropy is a universal function. For the primitive model it is ⌬S ϭϪk(⌫ 3 /3). For other models this function is more complex, but can always be expressed as an integral of known functions. We propose now a natural extension of this principle to nonspherical objects, such as dumbbells, in which the equivalence to the OZ approach can be explicitly verified.

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“…The solution of Eq. (23) is readily obtained from the 2D Coulomb Green's function (27) Using this we obtain (28) where (29) While the above results are valid for arbitrary form factors it is convenient for the moment to consider the limit of point charges (30) although one has to be careful with questions of the self-adjointness of H in this limit. 21 ) Equation (28) then becomes (31) where (32) The ground state of H+ may now be written We see from Eq.…”

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confidence: 99%

Anyon Superconductivity and Off-Diagonal Long-Range Order

Girvin

1992

Prog. Theor. Phys. Suppl.

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§ 1. Introduction to fractional statistics Particles obeying fractional statistics 1 l-Sl can, in two space dimensions form an exotic quantum fluid which can condense into a new type of superconductor. 4 l The simplest realization of a fractional statistics particle or 'anyon' consists of an ordinary boson (or fermion) bound to a magnetic flux tube (oriented perpendicular to the 2D plane) as shown in Fig. 1.If one anyon is dragged adiabatically around another in a closed counterclockwise path, the quantum state acquires an extra (Berry's) phase due to the Aharanov-Bohm effect If we call this phase factor exp(i28) then adiabatic counterclockwise exchange of two particles will yield an extra phase exp(i8). Hence 8 (whose value is determined by the particle charge and the strength of the flux tube) is called the statistics angle. If 8 = 7r and the original particles were bosons, the composite particles are fermions since they yield a minus sign up exchange. There are no quantization conditions which constrain the strength of the flux tube and hence 8 is continuously adjustable. Systems for which 8/Jr is fractional are said to obey fractional statistics. We shall be particularly concerned here with the special case of 'semions' which have 8/Jr=1/2.The Hamiltonian for a system of N non-relativistic anyons is at Ernst Mayr

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Perfect Screening for Charged Systems

Cited by 79 publications

References 7 publications

Towards an analytical theory for charged hard spheres

Towards an analytical theory for charged hard spheres

Variational mean spherical scaling approximation for nonspherical molecules: The case of dimers

Anyon Superconductivity and Off-Diagonal Long-Range Order

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