Abstract Details
Abstracts
Author: Swadesh M Mahajan
Requested Type: Pre-Selected Invited
Submitted: 2019-02-22 07:57:27
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Contact Info:
University of Texas at Austin
2515 Speedway C1500
Austin, 78712
USA
Abstract Text:
The dynamics of a perfect relativistic fluid is expressed in terms of a very general unified Electro-Vortical (EV) field. Structurally similar to the electromagnetic field $F^{munu}$, the Electro-Vortical field $calm^{numu}$ unifies the macroscopic forces into a single grand force that is the weighted sum of the electromagnetic, and the inertial/thermal forces. The new effective force may be viewed either as a vortico-thermal generalization of the electromagnetic force, or as the electromagnetic generalization of the vortico-thermal forces that a fluid element experiences in course of its evolution. Two fundamental consequences follow from this grand unification; 1) emergences of a new helicity that is conserved for arbitrary thermodynamics, and 2) the entire dynamics is formally expressible as an MHD (magnetohydrodynamics) like ideal Ohm's law in which the ``electric" and ``magnetic" components of the EV field replace the standard electric and magnetic fields. In the light of these more and more encompassing conserved helicities, the ``scope and significance" of the classical problems of magneto-genesis and connection-reconnection are examined. It is shown that, in models more advanced than MHD 1) looking for exotic seed-generation mechanisms (like the baroclinic thermodynamics) should not constitute a fundamental pursuit; the totally ideal dynamics is perfectly capable of generating and sustaining magnetic fields entirely within its own devices, and 2) the idea of reconnection needs to be, at least, reinterpreted, since in more complex systems, there is no physical field that is connected to any physical fluid motion. A variety of exact and semi exact self-consistent analytical solutions for equilibrium magnetic and flow fields will be displayed. It will also be shown that the propagation characteristics of relativistic amplitude waves are, surprisingly, different; the propagation tends to become essentially independent of the embedding magnetic fields.
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