Quaternionic Approach to Dual Magnetohydrodynamics of Dyonic Cold Plasma
The dual magnetohydrodynamics of dyonic plasma describes the study of electrodynamics equations along with the transport equations in the presence of electrons and magnetic monopoles. In this paper, we formulate the quaternionic dual fields equations, namely, the hydroelectric and hydromagnetic fiel...
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2018-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/7843730 |
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| author | B. C. Chanyal Mayank Pathak |
| author_facet | B. C. Chanyal Mayank Pathak |
| author_sort | B. C. Chanyal |
| collection | DOAJ |
| description | The dual magnetohydrodynamics of dyonic plasma describes the study of electrodynamics equations along with the transport equations in the presence of electrons and magnetic monopoles. In this paper, we formulate the quaternionic dual fields equations, namely, the hydroelectric and hydromagnetic fields equations which are an analogous to the generalized Lamb vector field and vorticity field equations of dyonic cold plasma fluid. Further, we derive the quaternionic Dirac-Maxwell equations for dual magnetohydrodynamics of dyonic cold plasma. We also obtain the quaternionic dual continuity equations that describe the transport of dyonic fluid. Finally, we establish an analogy of Alfven wave equation which may generate from the flow of magnetic monopoles in the dyonic field of cold plasma. The present quaternionic formulation for dyonic cold plasma is well invariant under the duality, Lorentz, and CPT transformations. |
| format | Article |
| id | doaj-art-9a079ebfe4174be0907da1575c722898 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-9a079ebfe4174be0907da1575c7228982025-08-20T03:36:52ZengWileyAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/78437307843730Quaternionic Approach to Dual Magnetohydrodynamics of Dyonic Cold PlasmaB. C. Chanyal0Mayank Pathak1Department of Physics, G. B. Pant University of Agriculture & Technology, Pantnagar, Uttarakhand 263145, IndiaDepartment of Physics, G. B. Pant University of Agriculture & Technology, Pantnagar, Uttarakhand 263145, IndiaThe dual magnetohydrodynamics of dyonic plasma describes the study of electrodynamics equations along with the transport equations in the presence of electrons and magnetic monopoles. In this paper, we formulate the quaternionic dual fields equations, namely, the hydroelectric and hydromagnetic fields equations which are an analogous to the generalized Lamb vector field and vorticity field equations of dyonic cold plasma fluid. Further, we derive the quaternionic Dirac-Maxwell equations for dual magnetohydrodynamics of dyonic cold plasma. We also obtain the quaternionic dual continuity equations that describe the transport of dyonic fluid. Finally, we establish an analogy of Alfven wave equation which may generate from the flow of magnetic monopoles in the dyonic field of cold plasma. The present quaternionic formulation for dyonic cold plasma is well invariant under the duality, Lorentz, and CPT transformations.http://dx.doi.org/10.1155/2018/7843730 |
| spellingShingle | B. C. Chanyal Mayank Pathak Quaternionic Approach to Dual Magnetohydrodynamics of Dyonic Cold Plasma Advances in High Energy Physics |
| title | Quaternionic Approach to Dual Magnetohydrodynamics of Dyonic Cold Plasma |
| title_full | Quaternionic Approach to Dual Magnetohydrodynamics of Dyonic Cold Plasma |
| title_fullStr | Quaternionic Approach to Dual Magnetohydrodynamics of Dyonic Cold Plasma |
| title_full_unstemmed | Quaternionic Approach to Dual Magnetohydrodynamics of Dyonic Cold Plasma |
| title_short | Quaternionic Approach to Dual Magnetohydrodynamics of Dyonic Cold Plasma |
| title_sort | quaternionic approach to dual magnetohydrodynamics of dyonic cold plasma |
| url | http://dx.doi.org/10.1155/2018/7843730 |
| work_keys_str_mv | AT bcchanyal quaternionicapproachtodualmagnetohydrodynamicsofdyoniccoldplasma AT mayankpathak quaternionicapproachtodualmagnetohydrodynamicsofdyoniccoldplasma |