3D dynamics of a lowmass neutron star explosion

1
3D dynamics of a low-mass neutron star explosion
Imshennik V.S., Manukovskii K.V. Alikhanov
Institute for Theoretical and Experimental
Physics, Moscow, Russia

• 20 Years After SN1987A
• Moscow, Lebedev Physical Institute
• 20 22, February, 2007.

2
Problem statement
Imshennik V.S., Manukovskii K.V., Astron.
Letters, 2007, in press
3
Analytical solution ( )
Runge-Lenz vector
Landau L.D., Lifshitz E.M., Mechanics
Asymptotic velocity
Colpi M., Wasserman I., Astrophys. J., 581,
1271(2002)
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Velocity components
Isotropic explosion
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Energy spectrum
Velocity magnitude
Critical angle
Energy spectrum
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Total energy
Initial energy
Final energy
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Dependence of total energy on parameter w
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Recoil momentum
Normalized velocity
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Pulsar velocity and angle of rotation
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Simulation using particles
equations
schemes LF - leap-frog
scheme RK4 - fourth-order
Runge-Kutta method
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Test simulation

• instantaneous energy release

• total duration

• low-mass neutron star

point size
position
orbital velocity
mass

• pulsar is fixed

position
velocity
mass
DT, s
Scheme
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vx
13
vy
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vz
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Relative deviation of velocity magnitude
t 1 s
t 10 s
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Runge-Lenz vector conservation
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Main simulations

• instantaneous and gradual energy release

• total duration

• low-mass neutron star

finite size
position
orbital velocity
mass

• pulsar is movable

position
velocity
initial mass

• perfectly inelastic impact for pulsar
• and probe particles collisions

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Pulsar velocity and mass (M/m 18)
s
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Pulsar trajectory (M/m 18)
center of inertia
center of inertia
0.0 0.1 s
s
s
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Kinetic energy spectra (M/m 18)
hyperbolic
elliptic
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Density (M/m 18)
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Energy density (M/m 18)
kinetic energy
total energy
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Pulsar velocity and mass (M/m 15)
s
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Pulsar trajectory (M/m 15)
center of inertia
center of inertia
0.0 0.1 s
s
s
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Kinetic energy spectra (M/m 15)
hyperbolic
elliptic
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Pulsar velocity and mass (M/m 18) (gradual
energy release, tE0.04 s)
s
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Pulsar trajectory (M/m 18) (gradual energy
release , tE0.04 s)
center of inertia
center of inertia
0.0 0.1 s
s
s
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Kinetic energy spectra (M/m 18) (gradual
energy release , tE0.04 s)
hyperbolic
elliptic
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Elliptic particles
total momentum of elliptic particles
elliptic particles and neutrino radiation
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Muon neutrino
Ryazhskaya O.G., UFN, 2007
main reactions