scholarly journals Calculation of the Maxwell stress tensor and the Poisson-Boltzmann force on a solvated molecular surface using hypersingular boundary integrals

2005 ◽  
Vol 123 (8) ◽  
pp. 084904 ◽  
Author(s):  
Benzhuo Lu ◽  
Xiaolin Cheng ◽  
Tingjun Hou ◽  
J. Andrew McCammon
Keyword(s):  
Stress Tensor ◽  
Molecular Surface ◽  
Maxwell Stress ◽  
Boundary Integrals ◽  
Maxwell Stress Tensor ◽  
Poisson Boltzmann

A First-Principles Method of Determining Van Der Waals Forces in a Dissipative Media

2012 ◽  
Author(s):  
Yi Zheng ◽  
Arvind Narayanaswamy
Keyword(s):  
Stress Tensor ◽  
First Principles ◽  
Van Der Waals ◽  
Maxwell Stress ◽  
Quantum Field ◽  
Maxwell Stress Tensor ◽  
Lifshitz Theory ◽  
Dissipative Media ◽  
Dissipative Material ◽  
Vdw Force

Lifshitz theory of van der Waals (vdW) force and energy is strictly valid when the location at which the stress tensor is calculated is in vacuum. Generalization of Lifshitz theory to the case when the stress tensor is to be calculated in a dissipative material, as opposed to vacuum, is a surprisingly difficult undertaking because there is no expression for the electromagnetic stress tensor in dissipative materials. Here, we derive the expression for vdW force in planar dissipative media by calculating the Maxwell stress tensor in a fictious layer of vacuum, that is eventually made to vanish, introduced in the structure, without employing the complicated quantum field theoretic method proposed by Dzyaloshinskii, Lifshitz, and Pitaevskii. Even though this work has proven to be a corroboration of Dzyaloshinskii et al., it has thrown new light on our understanding of vdW forces and suggests that it should be possible to achieve the similar result for objects with arbitrary shapes.

scholarly journals Electromechanics of the liquid water vapour interface

2020 ◽  
Vol 22 (19) ◽  
pp. 10676-10686 ◽  
Author(s):  
Chao Zhang ◽  
Michiel Sprik
Keyword(s):  
Water Vapor ◽  
Stress Tensor ◽  
Water Vapour ◽  
Surface Potential ◽  
Liquid Water ◽  
Maxwell Stress ◽  
Capillary Effect ◽  
Vapor Interface ◽  
Maxwell Stress Tensor ◽  
Anisotropic Stress

The response of the anisotropic stress at the liquid water vapor interface to a finite electric suggests that the surface potential of water can be seen as an electro-capillary effect coupled to the Maxwell stress tensor.

Direct Simulation of Electrorheological Suspensions

2004 ◽  
Author(s):  
Pushpendra Singh ◽  
Nadine Aubry
Keyword(s):  
Stress Tensor ◽  
Electric Fields ◽  
Electrostatic Force ◽  
Dipole Approximation ◽  
Point Dipole ◽  
Maxwell Stress ◽  
Particle Interactions ◽  
Maxwell Stress Tensor ◽  
Point Dipole Approximation ◽  
Electrorheological Suspensions

A numerical scheme based on the distributed Lagrange multiplier method (DLM) is used to study the motion of particles of a dielectric suspensions subjected to uniform and nonuniform electric fields. The Maxwell stress tensor method is used for computing electrostatic forces. In the point dipole approximation the total electrostatic force acting on a particle can be divided into two distinct contributions, one due to dielectrophoresis and the second due to particle-particle interactions. The former is zero when the applied electric field is uniform and the latter depends on the distance between the particles. In the Maxwell stress tensor approach these two contribution appear together. Simulations show that as expected the error in the point dipole approximation decreases, as the distance between the particles increases.

Modeling of the Axial and Tilt Stiffness Between a Magnet Track and a Ferromagnetic Backing

2007 ◽  
Author(s):  
Jay Krishnasamy ◽  
Jairo Moura
Keyword(s):  
Finite Element ◽  
Stress Tensor ◽  
Magnetic Bearings ◽  
Magnetic Interactions ◽  
Finite Element Models ◽  
Maxwell Stress ◽  
Modeling And Analysis ◽  
Maxwell Stress Tensor ◽  
Proposed Model ◽  
Radial Forces

This paper consists of modeling and analysis of the axial and radial forces as well as axial and tilt stiffness between a magnetic track and a ferromagnetic backing. The proposed model utilizes the concept of Maxwell stress tensor and simplified reluctance models in order to predict the magnetic interactions between the rotor and the stator. In other to verify the model developed, finite element models and experiments are performed for the case of a linear magnetic track. The results can be applied to the case of rotary tracks without loss of generality. Applications of this work can be used in the design of magnetic bearings or servo motors with ferromagnetic stators.

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