From this photo I assume the plasma is also moving in a loop through the reactor due to it being a charged particle.
Plasma is not a "charged particle", there are free electrons and nucleons within it but over all it is neutral.
Left to itself, a plasma - like a gas - will occupy all the geometrical space available, because of the collisions between the particles. Magnetic fields can confine a plasma, because the ions and electrons of which it consists will follow helical paths around the magnetic field lines.
One can define a charge neutral Δ(V) in the collective motion induced by imposed magnetic fields which has a fluid flow around the tokamak geometry.
The tokamak is one of several types of magnetic confinement devices, and is being developed to containcontain the hot plasma needed for producing controlled thermonuclear fusion power. It is the leading candidate for a practical fusion reactor. Magnetic fields are used for confinement since no solid material could withstand the extremely high temperature of the plasma
Thus the whole business of magnetic fields and collective motion of plasma is for containing the plasma at its high temperature ( 150 million degrees Celcius) so that fusion will happen statistically locally while going around. The collective rotations of the plasma have nothing to do with fusion. It is the thermodynamic statistical scattering of nuclei that will fuse, going every which way.
Lifetime of plasma has to do with materials used for the Tokamak and there are a number of studies if one searches.
This answer here is relevant :
In a tokamak reactor at kT = 15 keV, for electrons, this is really fast: something like 73 million m/s, or almost a quarter the speed of light. (This means that we actually have to modify the Maxwell–Boltzmann distribution to account for relativity; I won't go into that here.) For deuterium nuclei it's lower, about 850 km/s because they're heavier.
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The bulk fluid speed is probably more interesting, like how the net motion of the water in a river is generally more interesting than the thermal speed of each water molecule. In a tokamak this fluid rotation might be some 10s of km/s in the toroidal direction, up to maybe 100 km/s in today's tokamaks (like Alcator C-Mod or DIII-D). ITER might rotate toroidally at several hundred km/s.
It gives a plot:
