Second virial coefficients of dipolar hard spheres

Philipse, Albert P.; Kuipers, Martijn

doi:10.1088/0953-8984/22/32/325104

Cited by 15 publications

(31 citation statements)

References 14 publications

(48 reference statements)

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“…The corresponding expressions for cases 1s and 2s (a single and a double softness) are given by Eqs. (8) and (9). Furthermore, we deduce expressions for the 1s case in the limits at high and low temperatures, i.e., Eqs.…”

Section: Discussionmentioning

confidence: 99%

Second virial coefficient of a generalized Lennard-Jones potential

González-Calderón

Rocha-Ichante

2015

The Journal of Chemical Physics

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We present an exact analytical solution for the second virial coefficient of a generalized Lennard-Jones type of pair potential model. The potential can be reduced to the Lennard-Jones, hard-sphere, and sticky hard-sphere models by tuning the potential parameters corresponding to the width and depth of the well. Thus, the second virial solution can also regain the aforementioned cases. Moreover, the obtained expression strongly resembles the one corresponding to the Kihara potential. In fact, the Fk functions are the same. Furthermore, for these functions, the complete expansions at low and high temperature are given. Additionally, we propose an alternative stickiness parameter based on the obtained second virial coefficient.

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Section: Discussionmentioning

confidence: 99%

Second virial coefficient of a generalized Lennard-Jones potential

González-Calderón

Rocha-Ichante

2015

The Journal of Chemical Physics

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“…the osmotic pressure as a function of colloid concentration, has been extensively studied for colloids with isotropic interactions, in theory as well as via experiments [1][2][3][4][5]. Also the effect of anisotropic magnetic interactions on the thermodynamics of colloidal fluids has been frequently addressed, as witnessed by the theory and simulations over the past 40 years [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. However, in contrast to the case of isotropic colloids, relevant experimental data for magnetic particles are scarce.…”

Section: Introductionmentioning

confidence: 99%

“…Nevertheless, experimental osmotic pressures of magnetic fluids would be of considerable interest, if only because the phase behavior of magnetic fluids is still poorly understood. For example, the existence of a liquid-gas critical point for dipolar spheres is the subject of a long-standing debate [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Sedimentation equilibria of ferrofluids: II. Experimental osmotic equations of state of magnetite colloids

Luigjes¹,

Thies‐Weesie²,

Erné³

et al. 2012

J. Phys.: Condens. Matter

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The first experimental osmotic equation of state is reported for well-defined magnetic colloids that interact via a dipolar hard-sphere potential. The osmotic pressures are determined from the sedimentation equilibrium concentration profiles in ultrathin capillaries using a low-velocity analytical centrifuge, which is the subject of the accompanying paper I. The pressures of the magnetic colloids, measured accurately to values as low as a few pascals, obey Van 't Hoff's law at low concentrations, whereas at increasing colloid densities non-ideality appears in the form of a negative second virial coefficient. This virial coefficient corresponds to a dipolar coupling constant that agrees with the coupling constant obtained via independent magnetization measurements. The coupling constant manifests an attractive potential of mean force that is significant but yet not quite strong enough to induce dipolar chain formation. Our results disprove van der Waals-like phase behavior of dipolar particles for reasons that are explained.

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“…There are several recent works about second order coefficients for diverse systems including inert gases, alkanes, methane in water solution, and polymer solutions. [9,10,[12][13][14] Distinct interaction models have been recently analyzed in this context: hard spheres with dipolar momentum, [15][16][17] exponential potential, [18] and the Asakura-Oosawa model for colloids. [9][10][11]19] One of the most studied interaction models for simple fluids is the LJ.…”

Section: Introductionmentioning

confidence: 99%

Virial series for inhomogeneous fluids applied to the Lennard-Jones wall-fluid surface tension at planar and curved walls

Urrutia

Paganini

2016

The Journal of Chemical Physics

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We formulate a straightforward scheme of statistical mechanics for inhomogeneous systems that includes the virial series in powers of the activity for the grand free energy and density distributions. There, cluster integrals formulated for inhomogeneous systems play a main role. We center on second order terms that were analyzed in the case of hard-wall confinement, focusing in planar, spherical and cylindrical walls. Further analysis was devoted to the Lennard-Jones system and its generalization the 2k-k potential. For this interaction potentials the second cluster integral was evaluated analytically. We obtained the fluid-substrate surface tension at second order for the planar, spherical and cylindrical confinement. Spherical and cylindrical cases were analyzed using a series expansion in the radius including higher order terms. We detected a ln R −1 /R 2 dependence of the surface tension for the standard Lennard-Jones system confined by spherical and cylindrical walls, no matter if particles are inside or outside of the hard-walls. The analysis was extended to bending and Gaussian curvatures, where exact expressions were also obtained.

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Second virial coefficients of dipolar hard spheres

Cited by 15 publications

References 14 publications

Second virial coefficient of a generalized Lennard-Jones potential

Second virial coefficient of a generalized Lennard-Jones potential

Sedimentation equilibria of ferrofluids: II. Experimental osmotic equations of state of magnetite colloids

Virial series for inhomogeneous fluids applied to the Lennard-Jones wall-fluid surface tension at planar and curved walls

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