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When the fast dissipative time scales become exhausted, the evolution of reacting processes is characterized by slower time scales.
In contrast, in the case of Ag−6+O2 fast dissipative IVR on the time scale of ∼1 ps leads to a higher sticking probability for O2 but the O O bond is very rapidly deactivated and cannot participate in further oxidation processes.
The fast dissipative time scales relate to the eigenvalues of the Jacobian with large negative real parts.
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In shear-alienated glass, the last resistance against localized shearing comes from extremely fast downhill dissipative dynamics of timescale comparable to atomic vibrations, allowing molecular dynamics (MD) simulations to capture this recovery process which governs τglue.
More precisely, in dissipative systems, fast variables relax rapidly to some low dimensional attractive manifold called invariant manifold [ 4] that carries the slow mode dynamics.
gradient of total energy dissipation (or dissipative force).
In this paper, we develop a stable and fast numerical scheme for relativistic dissipative hydrodynamics based on Israel Stewart theory.
Assumption (A3) is the dissipative condition, which determines how the fast equation converges to its equilibrium state.
The ENUF method, i.e., Ewald summation based on the non-uniform FFT technique (NFFT), is implemented in dissipative particle dynamics (DPD) simulation scheme to fast and accurately calculate the electrostatic interactions at mesoscopic level.
Now, we need to give some dissipative conditions [46] to ensure the ergodicity for the fast motion and global Lipschitz condition, and the growth condition to ensure the existence and uniqueness for (2.3).
The existence of chaotic dynamics in the transitions of the subsystems activity may constitute an advantage in the self-regulatory control of the system, due to the sensitivity of chaotic behaviors to initial conditions; these dissipative metabolic networks with local chaotic patterns may permit fast responses during the cellular adaptation and in the regulation against perturbances.
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