کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1854908 1529912 2010 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The ideal relativistic rotating gas as a perfect fluid with spin
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
The ideal relativistic rotating gas as a perfect fluid with spin
چکیده انگلیسی

We show that the ideal relativistic spinning gas at complete thermodynamical equilibrium is a fluid with a non-vanishing spin density tensor σμν. After having obtained the expression of the local spin-dependent phase-space density f(x, p)στ in the Boltzmann approximation, we derive the spin density tensor and show that it is proportional to the acceleration tensor Ωμν constructed with the Frenet–Serret tetrad. We recover the proper generalization of the fundamental thermodynamical relation, involving an additional term −(1/2)Ωμνσμν. We also show that the spin density tensor has a non-vanishing projection onto the four-velocity field, i.e. tμ = σμνuν ≠ 0, in contrast to the common assumption tμ = 0, known as Frenkel condition, in the thus-far proposed theories of relativistic fluids with spin. We briefly address the viewpoint of the accelerated observer and inertial spin effects.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 325, Issue 8, August 2010, Pages 1566–1594
نویسندگان
, ,