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Plasma in time-varying B-field

Plasma in time-varying B-field. Particle acceleration. Consider a plasma in a homogeneous magnetic field changing in time We then have: Using Stokes theorem: The induced E-field will accelerate or decelerate the particles:. Conservation of μ. μ is conserved in a slowly varying B-field:.

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Plasma in time-varying B-field

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  1. Plasma in time-varying B-field

  2. Particle acceleration • Consider a plasma in a homogeneous magnetic field changing in time • We then have: • Using Stokes theorem: • The induced E-field will accelerate or decelerate the particles:

  3. Conservation of μ μ is conserved in a slowly varying B-field: The magnetic flux enclosed in a gyro-orbit is also enclosed:

  4. Adiabatic compression • Consider a cylindrical plasma in a changing magnetic field: • And for the radial drift velocity: • Time derivative of the amount of magnetic flux enclosed by plasma:

  5. Force in parallel direction • Force from B-field gradient: • Plus electric field: • Energy conservation: • Eq. for v-parrallel:

  6. Guiding center motion in slowly varying fields

  7. Time-varying E-field

  8. Dielectric constant

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