کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1854853 1529896 2011 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Kubo formulas for relativistic fluids in strong magnetic fields
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Kubo formulas for relativistic fluids in strong magnetic fields
چکیده انگلیسی

Magnetohydrodynamics of strongly magnetized relativistic fluids is derived in the ideal and dissipative cases, taking into account the breaking of spatial symmetries by a quantizing magnetic field. A complete set of transport coefficients, consistent with the Curie and Onsager principles, is derived for thermal conduction, as well as shear and bulk viscosities. It is shown that in the most general case the dissipative function contains five shear viscosities, two bulk viscosities, and three thermal conductivity coefficients. We use Zubarev’s non-equilibrium statistical operator method to relate these transport coefficients to correlation functions of the equilibrium theory. The desired relations emerge at linear order in the expansion of the non-equilibrium statistical operator with respect to the gradients of relevant statistical parameters (temperature, chemical potential, and velocity.) The transport coefficients are cast in a form that can be conveniently computed using equilibrium (imaginary-time) infrared Green’s functions defined with respect to the equilibrium statistical operator.


► Strong magnetic fields can make charged fluids behave anisotropically.
► Magnetohydrodynamics for these fluids contains 5 shear, 2 bulk viscosities, and 3 heat conductivities.
► We derive Kubo formulas for these transport coefficients.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 326, Issue 12, December 2011, Pages 3075–3094
نویسندگان
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