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Classification of particle orbits and related stochasticity of plasma ion motion in a field-reversed configuration with D-3He advanced fuel

Properties of regular (integrable) and stochastic (non-integrable) orbits of the deuterium-helium-3 (D-3He) fusion plasma particles in a field-reversed configuration (FRC) are studied with the aid of the particle tracing routine. A chaotic behaviour of the ion motion is examined with the Lyapunov exponents as well as the radial action integral as a third adiabatic invariant, and by the Poincaré's surface of section plot. It appears that a large majority of high energetic fusion protons tend to have regular motion. On the other hand, bulk ions in the D-3He advanced fusion plasma are almost stochastic because of a randomization of gyro-phase due to the orbit shape transition between off-axis gyration and encircling betatron or figure-8.