Anomalous temperature dependence of differential capacity at an uncharged interface with Debye–Hückel electrolyte: Field theoretical approach

Caprio, Dung Di; Stafiej, J.; Borkowska, Z.

doi:10.1016/j.jelechem.2005.02.008

Cited by 28 publications

(46 citation statements)

References 31 publications

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“…In this context, numerical simulations and the field theoretical approach [40,41] have shown that the anomalous capacitance behaviour can be seen for low value of the reduced density.…”

Section: Density Profilementioning

confidence: 95%

“…For convenience it is also practical to introduce density normalised with respect to its bulk valueρ =ρ/ρ b . The length 1/B plays the role of the inverse Debye length, which in our previous papers has been used to define dimensionless quantities in the case of charged systems [10][11][12][13]24]. This way we can use analogies between the present calculations for the Yukawa potential and the charged systems.…”

Section: Model Field Theory Formalismmentioning

confidence: 97%

“…In a series of papers on ionic fluids [10][11][12][13]24], we show that it is possible to describe these systems using a field theoretical approach. The Hamiltonian of the system is given by…”

Section: Model Field Theory Formalismmentioning

confidence: 99%

“…These results make use of the collective variables approach [7][8][9] to construct cluster expansions for the pair and singlet distribution functions for a system of point ions confined by a hard wall. In parallel, for the description of ionic systems confined by wall, a density field theory has been developed [10][11][12][13] which also gave the correct results for the description of the influence of ionic systems near a hard wall.…”

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confidence: 99%

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Yukawa fluid at a hard wall: field theory description

et al. 2011

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“…In this context, numerical simulations and the field theoretical approach [40,41] have shown that the anomalous capacitance behaviour can be seen for low value of the reduced density.…”

Section: Density Profilementioning

confidence: 95%

Section: Model Field Theory Formalismmentioning

confidence: 97%

Section: Model Field Theory Formalismmentioning

confidence: 99%

mentioning

confidence: 99%

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Yukawa fluid at a hard wall: field theory description

et al. 2011

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“…However, in the MSA, this approach does not take into account the contribution from long-range molecular interactions and, as a result, does not satisfy the exact relation known as the contact theorem [6,7]. According to this theorem, the contact value of the particle density near a hard wall for a neutral fluid is determined by the pressure of the fluid in the bulk volume.Recently, the density field theory, previously developed for ionic fluids near a hard wall [8][9][10], has been applied to the description of simple fluids with Yukawa-type interactions near a hard wall [11]. In both cases, the developed approach yielded correct results.…”

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confidence: 99%

Nematic fluid at a hard wall in the mean field approximation

Caprio¹,

Holovko²,

Kravtsiv³

2013

Condens. Matter Phys.

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In the framework of a field theoretical approach we study Maier-Saupe nematogenic fluid in contact with a hard wall. The pair interaction potential of the considered model consists of an isotropic and an anisotropic Yukawa terms. In the mean field approximation the contact theorem is proved. For the case of the nematic director being oriented perpendicular to the wall, analytical expressions for the density and order parameter profiles are obtained. It is shown that in a certain thermodynamic region the nematic fluid near the interface can be more diluted and less orientationally ordered than in the bulk region.Key words: Maier-Saupe nematogenic fluid, field theoretical approach, interface, contact theorem PACS: 61.30. Gd, 61.30.Hn Due to orientational ordering, nematic fluids near a surface show richer behavior than in the case of simple fluids. Among them are the anchoring phenomena, whereby the surface induces a specific orientation of the nematic director with respect to the surface [1]. In order to understand this phenomenon, during the past decade the Henderson-Abraham-Barker (HAB) approach [2,3], previously developed in the theory of isotropic fluids in contact with solid surfaces [4], has been employed. In this approach, the description of the fluid density profile reduces to the solution of the Ornstein-Zernike (OZ) integral equation for the fluid particle-wall distribution function calculated from the known fluid particle distribution function in the bulk. In the framework of the HAB approach, the application to the bulk of the nematic model, analytically solvable at the level of the mean spherical approximation (MSA) [5], makes it possible to investigate the role of orientational-dependent molecular interactions with the surface in anchoring phenomena [2,3]. However, in the MSA, this approach does not take into account the contribution from long-range molecular interactions and, as a result, does not satisfy the exact relation known as the contact theorem [6,7]. According to this theorem, the contact value of the particle density near a hard wall for a neutral fluid is determined by the pressure of the fluid in the bulk volume.Recently, the density field theory, previously developed for ionic fluids near a hard wall [8][9][10], has been applied to the description of simple fluids with Yukawa-type interactions near a hard wall [11]. In both cases, the developed approach yielded correct results. In this theory, the contributions from the mean field and from the fluctuations are separated. In [11], it was shown that the mean field treatment of a Yukawa fluid near a wall reduces to solving a non-linear differential equation for the density profile while the treatment of fluctuations reduces to the OZ equation with the Riemann boundary condition.In this paper, the density field theory, developed in [11] for simple fluids at a hard wall, will be generalized to nematic fluids at a hard wall. To this end, we consider Maier-Saupe nematogenic fluid model [12,13] as one of the simplest models that account for...

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