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Patch potentials arising from the polycrystalline structure of material samples may contribute significantly to measured signals in Casimir force experiments. Most of these experiments are performed in the sphere-plane geometry, yet, up to…

Other Condensed Matter · Physics 2013-01-11 R. O. Behunin , Y. Zeng , D. A. R. Dalvit , S. Reynaud

We continue our study of patch effect (PE) for two close cylindrical conductors with parallel axes, slightly shifted against each other in the radial and by any length in the axial direction, started in [1], where the potential and energy…

General Relativity and Quantum Cosmology · Physics 2011-06-07 Valerio Ferroni , Alexander Silbergleit

We evaluate the electrostatic interaction energy between two surfaces, one flat and the other slightly curved, in terms of the two-point autocorrelation functions for patch potentials on each one of them, and of a single function $\psi$…

High Energy Physics - Theory · Physics 2015-06-17 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We present calculations of contact potential surface patch effects that simplify previous treatments. It is shown that, because of the linearity of Laplace's equation, the presence of patch potentials does not affect an electrostatic…

Quantum Physics · Physics 2015-05-13 Woo-Joong Kim , A. O. Sushkov , Diego A. R. Dalvit , S. K. Lamoreaux

We continue to study the effect of uneven voltage distribution on two close cylindrical conductors with parallel axes started in our papers [1] and [2], now to find the electrostatic torques. We calculate the electrostatic potential and…

General Relativity and Quantum Cosmology · Physics 2011-06-07 Valerio Ferroni , Alexander Silbergleit

Electrostatic patch potentials give rise to forces between neutral conductors at distances in the micrometer range and must be accounted for in the analysis of Casimir force experiments. In this paper we develop a quasi-local model for…

Quantum Physics · Physics 2013-01-11 R. O. Behunin , F. Intravaia , D. A. R. Dalvit , P. A. Maia Neto , S. Reynaud

Potential patches are responsible for a force between closely-spaced objects that forms a parasitic contribution to sensitive force measurements. Existing analytical models cannot account for the patch force in the 3D geometries of real…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Matthijs H. J. de Jong , Laure Mercier de Lépinay

The existence of a monotonic distance dependent contact potential between two plates in a Casimir experiment leads to an additional electrostatic force that is significantly different from the case of a constant potential. Such a varying…

Quantum Physics · Physics 2008-09-13 Steve K. Lamoreaux

We study the effect of any uneven voltage distribution on two close cylindrical conductors with parallel axes that are slightly shifted in the radial and by any length in the axial direction. The investigation is especially motivated by…

General Relativity and Quantum Cosmology · Physics 2011-06-07 Valerio Ferroni , Alexander Silbergleit

A quite straightforward approximation for the electrostatic interaction between two perfectly conducting surfaces suggests itself when the distance between them is much smaller than the characteristic lengths associated to their shapes.…

Classical Physics · Physics 2015-06-03 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

Kelvin Probe Force Microscopy (KPFM) is widely used to measure the surface potential on samples, from which electrostatic patch force can be calculated. However, since the KPFM measurements represent a weighted average of local potentials…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 Kun Shi , Pengshun Luo , Jinquan Liu , Hang Yin , Zebing Zhou

Two overall neutral surfaces with positive and negative charged domains ("patches") have been shown in recent experiments to exhibit long-range attraction when immersed in an ionic solution. Motivated by the experiments, we calculate…

Soft Condensed Matter · Physics 2016-08-31 Ram M. Adar , David Andelman , Haim Diamant

Measurements of the Casimir force require the elimination of electrostatic interactions between the surfaces. However, due to electrostatic patch potentials, the voltage required to minimize the total force may not be sufficient to…

Other Condensed Matter · Physics 2015-05-14 Joseph L. Garrett , David Somers , Jeremy N. Munday

We develop an efficient Ewald method of molecular dynamics simulation for calculating the electrostatic interactions among charged and polar particles between parallel metallic plates, where we may apply an electric field with an arbitrary…

Soft Condensed Matter · Physics 2013-10-01 Kyohei Takae , Akira Onuki

In the study of colloidal, biological and electrochemical systems, it is customary to treat surfaces, macromolecules and electrodes as homogeneously charged. This simplified approach is proven successful in most cases, but fails to describe…

Soft Condensed Matter · Physics 2022-08-04 Ram M. Adar , David Andelman , Haim Diamant

We present approximate methods for calculating the three-dimensional electric potentials of finite surface electrodes including gaps between electrodes, and estimate the effects of finite electrode thickness and an underlying dielectric…

Quantum Physics · Physics 2010-02-27 Roman Schmied

We have measured the short-range attractive force between crystalline Ge plates, and found contributions from both the Casimir force and an electrical force possibly generated by surface patch potentials. Using a model of surface patch…

Quantum Physics · Physics 2013-05-29 W. J. Kim , A. O. Sushkov , D. A. R. Dalvit , S. K. Lamoreaux

We study the effect of dielectric inhomogeneities on the interaction between two planparallel charged surfaces with oppositely charged mobile charges in between. The dielectric constant between the surfaces is assumed to be different from…

Soft Condensed Matter · Physics 2011-07-21 M. Kanduc , R. Podgornik

At model water--vapor and water--solid interfaces, molecular ordering leads to charge oscillations and, thereby, to a spatially varying electrostatic potential. Atomistic simulations indicate that such ordering leads to an electric…

Chemical Physics · Physics 2025-12-12 David Fertig , Adrian L. Usler , Mathijs Janssen

The electrostatic force on a spherical particle near a planar surface is calculated for the cases of a uniform electric field applied in either normal or tangential direction to the surface. The particle and suspending media are assumed to…

Soft Condensed Matter · Physics 2022-10-05 Zhanwen Wang , Michael J. Miksis , Petia M. Vlahovska
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