Effective Parameters of Charged Spherical Particles in 1 : 1 Electrolyte Solutions

Dolinnyi, A. I.

doi:10.1134/s1061933x20060034

Cited by 2 publications

(1 citation statement)

References 35 publications

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“…The linearized PBE (LPBE) (for the above reasons also called the DH equation) is often used for low charged systems originating sufficiently small potentials Φ (i.e., as | e Φ k B T | < 1 which is equivalent to |Φ| < k B T / e = 25.7 mV at a room temperature of 25 °C, where k B , e , and T are the Boltzmann’s constant, elementary charge, and absolute temperature, respectively ,− ). This, however, does not diminish the importance of studying the behavior of the LPBE also in the case of highly charged objects: their electrostatics may still be correctly described at sufficiently long distances (as compared to the Debye length) by the usual DH approximation provided that the sources of the electric field are properly renormalized. − (See also the recent ref for additional comments concerning the ranges of applicability of the DH theory.) This once again emphasizes the importance of a thorough study of the DH approximations, both theoretically and numerically, and justifies the constant stream of works related to the LPBE (see recent refs , , and − , and references therein).…”

Section: Introductionmentioning

confidence: 99%

Arbitrary-Shape Dielectric Particles Interacting in the Linearized Poisson–Boltzmann Framework: An Analytical Treatment

Siryk

Rocchia

2022

J. Phys. Chem. B

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This work considers the interaction of two dielectric particles of arbitrary shape immersed into a solvent containing a dissociated salt and assuming that the linearized Poisson–Boltzmann equation holds. We establish a new general spherical re-expansion result which relies neither on the conventional condition that particle radii are small with respect to the characteristic separating distance between particles nor on any symmetry assumption. This is instrumental in calculating suitable expansion coefficients for the electrostatic potential inside and outside the objects and in constructing small-parameter asymptotic expansions for the potential, the total electrostatic energy, and forces in ascending order of Debye screening. This generalizes a recent result for the case of dielectric spheres to particles of arbitrary shape and builds for the first time a rigorous (exact at the Debye–Hückel level) analytical theory of electrostatic interactions of such particles at arbitrary distances. Numerical tests confirm that the proposed theory may also become especially useful in developing a new class of grid-free, fast, highly scalable solvers.

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