Functional integral derivation of the kinetic equation of two-dimensional point vortices
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چکیده
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15 صفحه اولKinetic theory of two dimensional point vortices from a BBGKY-like hierarchy
Starting from the Liouville equation, we derive the exact hierarchy of equations satisfied by the reduced distribution functions of the single species point vortex gas in two dimensions. Considering an expansion of the solution in powers of 1/N in a proper thermodynamic limit N → +∞, and neglecting some collective effects, we derive a kinetic equation satisfied by the smooth vorticity field whi...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2016
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2016.06.006