“…The conservation of can be violated when the fields vary on the time scale of the gyroperiod or when the gyroradius ( ) is comparable to either of L, R c , or L s , the magnetic gradient, curvature, and shear scale lengths. The nonadiabatic motion of charged particles in highly curved magnetic fields has been previously studied (Birmingham, 1984;Buchner & Zelenyi, 1989;Chen, 1992;Chirkov, 1978;Hudson et al, 1997;Speiser, 1991;Young et al, 2002;Engel et al, 2016). Nonadiabatic motion of particles can also exist in sheared magnetic fields (Smets, 2000;Pfefferle et al, 2015) or for short scale length Northrop (1963).…”