Files and links (1)
Published, Version of Record (VoR)CC BY V4.0, Open
Journal article
A Variational Approach to Electrostatics of Polarizable Heterogeneous Substances
Advances in mathematical physics, v 2015
01 Jan 2015
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
We discuss equilibrium conditions for heterogeneous substances subject to electrostatic or magnetostatic effects. We demonstrate that the force-like aleph tensor N-ij and the energy-like beth tensor beth(ij) for polarizable deformable substances are divergence-free: del N-i(ij) = 0 and del(i)beth(ij)=0. We introduce two additional tensors: the divergence-free energy-like gimel tensor beth(ij) for rigid dielectrics and the general electrostatic gamma tensor Gamma(ij) which is not divergence-free. Our approach is based on a logically consistent extension of the Gibbs energy principle that takes into account polarization effects. While the model is mathematically rigorous, we caution against the assumption that it can reliably predict physical phenomena. On the contrary, clear models often lead to conclusions that are at odds with experiment and therefore should be treated as physical paradoxes that deserve the attention of the scientific community.
Metrics
Details
- Title
- A Variational Approach to Electrostatics of Polarizable Heterogeneous Substances
- Creators
- Michael Grinfeld - US Army Res Lab, Aberdeen, MD 21005 USAPavel Grinfeld - Drexel University
- Publication Details
- Advances in mathematical physics, v 2015
- Publisher
- Hindawi Publishing Group
- Number of pages
- 7
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000361225500001
- Scopus ID
- 2-s2.0-84941730102
- Other Identifier
- 991019312444404721
UN Sustainable Development Goals (SDGs)
This publication has contributed to the advancement of the following goals:
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Physics, Mathematical