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(c) Low temperature regime, which shows quasi-continuous Brownian motion (Regime III).
(d) High temperature regime, which shows ballistic-like Brownian motion (Regime IV).
These have better stability and accuracy characteristics and are useful in the fast motion regime.
However, in the fast motion regime, the stochastic Liouville von Neumann equation becomes stiff.
For the second one, the C60 molecule follows a ballistic-like Brownian motion (Regime IV) at temperatures above 75 K.
The first observation of high-friction Brownian motion (Regime III) was in the benzene/graphite system [7].
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Transitions between the different motional conditions (from the rigid to the fast motion regimes) are observed.
It shows frequency-dependent motion regimes, that is, tumbling (1 3 Hz) and wobbling (3 20 Hz).
It is found that explicit Runge Kutta methods are the most efficient schemes in the slow and intermediate motion regimes.
Nearbed flow velocities induced by waves and currents, as well as bed shear stresses, are modelled theoretically to determine sediment motion regimes in the area.
The studies demonstrated the existence of multiple relaxation times that were especially obvious at temperatures near T50, i.e. the region intermediate between the fast and slow motion regimes.
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