dorsal/arxiv
View SchemaStatistical-mechanical theory of the overall magnetic properties of mesocrystals
| Authors | J. P. Huang |
|---|---|
| Categories | |
| ArXiv ID | physics/0407131 |
| URL | https://arxiv.org/abs/physics/0407131 |
| DOI | 10.1103/PhysRevE.70.041403 |
| Journal | Phys. Rev. E 70, 041403 (2004) |
Abstract
The mesocrystal showing both electrorheological and magnetorheological effects is called electro-magnetorheological (EMR) solids. Prediction of the overall magnetic properties of the EMR solids is a challenging task due to the coexistence of the uniaxially anisotropic behavior and structural transition as well as long-range interaction between the suspended particles. To consider the uniaxial anisotropy effect, we present an anisotropic Kirkwood-Fr\"{o}hlich equation for calculating the effective permeabilities by adopting an explicit characteristic spheroid rather than a characteristic sphere used in the derivation of the usual Kirkwood-Fr\"{o}hlich equation. Further, by applying an Ewald-Kornfeld formulation we are able to investigate the effective permeability by including the structural transition and long-range interaction explicitly. Our theory can reduce to the usual Kirkwood-Fr\"{o}hlich equation and Onsager equation naturally. To this end, the numerical simulation shows the validity of monitoring the structure of EMR solids by detecting their effective permeabilities.
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"abstract": "The mesocrystal showing both electrorheological and magnetorheological\neffects is called electro-magnetorheological (EMR) solids. Prediction of the\noverall magnetic properties of the EMR solids is a challenging task due to the\ncoexistence of the uniaxially anisotropic behavior and structural transition as\nwell as long-range interaction between the suspended particles. To consider the\nuniaxial anisotropy effect, we present an anisotropic Kirkwood-Fr\\\"{o}hlich\nequation for calculating the effective permeabilities by adopting an explicit\ncharacteristic spheroid rather than a characteristic sphere used in the\nderivation of the usual Kirkwood-Fr\\\"{o}hlich equation. Further, by applying an\nEwald-Kornfeld formulation we are able to investigate the effective\npermeability by including the structural transition and long-range interaction\nexplicitly. Our theory can reduce to the usual Kirkwood-Fr\\\"{o}hlich equation\nand Onsager equation naturally. To this end, the numerical simulation shows the\nvalidity of monitoring the structure of EMR solids by detecting their effective\npermeabilities.",
"arxiv_id": "physics/0407131",
"authors": [
"J. P. Huang"
],
"categories": [
"physics.comp-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevE.70.041403",
"journal_ref": "Phys. Rev. E 70, 041403 (2004)",
"title": "Statistical-mechanical theory of the overall magnetic properties of mesocrystals",
"url": "https://arxiv.org/abs/physics/0407131"
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