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The beam is subjected to time-dependent deterministic and stochastic forces.
We place the molecule C60 at the middle of the sheet and place the whole system "buckyball + graphene" consisting of N = 678 + 60 atoms into Langevin thermostat modeled by stochastic forces.
Langevin collision frequency is Γ = 1/tr, where tr – particle relaxation time, and Ξi = (ξi,1, ξi,2, ξi,3) is a three-dimensional vector of Gaussian stochastic forces describing the interaction of the i-th atom with thermostat.
Methods for incorporating the effects of population density, prevalence of the disease, and stochastic forces on model behavior also are presented.
The USV trajectory planning problem is characterized by the presence of large and somewhat stochastic forces due to ocean waves, which can cause significant deviations in their motion.
This is due to the fact that Brownian motion and the corresponding stochastic forces significantly influence the dispersion of small particles (with d≤50 nm) [33, 34].
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S.O., P.T. and I.B. developed the stochastic forcing model.
Vecchi, G. A., Wittenberg, A. T. & Rosati, A. Reassessing the role of stochastic forcing in the 1997 8 El Niño.
We do not consider presence of stochastic forcing or process noise in the system.
Stochastic forcing formulations are introduced and a new stochastic-deterministic ocean model is presented.
A linear oscillator simultaneously subjected to stochastic forcing and parametric excitation is considered.
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