Nonlinear interaction among oscillation modes of accretion tori

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Nonlinear interaction among oscillation modes of accretion tori

Nonlinear interaction among oscillation modes of accretion tori

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Lowest-order <strong>modes</strong> (Blaes et al, 2006)Radial epicyclicVertical epicyclicX-mode +-mode Breathing mode

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Prospects of X-ray polarimetry - Prague Relativistic Astrophysics

Lowest-order <strong>modes</strong> (Blaes et al, 2006)Radial epicyclicVertical epicyclicX-mode +-mode Breathing mode

Eigenfrequencies...resonancesPolytropic index: n = 3/20, 25ω ×ω bFrequency [c 3 /GM]0, 20, 150, 1ω +0, 0503 4 5 6 7 8Radius [R S ]

Page 1 and 2: Nonlinear interaction among oscilla
Page 3 and 4: Nonlinear interactions of modes
Page 5 and 6: Nonlinear coupling functionsF A (c
Page 7: Example system: slender torus◮ Po
Page 11 and 12: The 3:2 epicyclic resonance
Page 13 and 14: Resonance conditionsOrder General s
Page 15 and 16: Resonance + turbulenceStochastic ex
Page 17 and 18: Papaloizou-Pringle instability in s
Page 19 and 20: Nonlinear evolution: three-mode cou
Page 21 and 22: Observable consequence?Three mode c
Page 23 and 24: p-g-c coupling...?150r inpM = 10M
Page 25: Conclusions◮ Unstable modes may b