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The system is said to be balanced when the fast and slow degrees of freedom are separated.
We demonstrate the principle with a toy computer model and discuss the mathematics governing the evolution of slow degrees of freedom in large Hamiltonian systems.
Exploration of ξ is governed by the self-diffusion properties of the system, which, assuming reasonable decoupling from other slow degrees of freedom, guarantees uniform sampling [50].
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GW1 and GW4 exhibited slow degree of swelling at 24 °C (Fig. 7a).
GW1 and GW4 exhibited a slow degree of swelling at 24 °C and pH 7.4 (Fig. 7a).
The non-autonomous Hamiltonian model has a chaotic slow degree of freedom (representing vortical modes) coupled to one or two linear fast oscillators (representing inertia-gravity waves).
We employ the potentially groundbreaking new approach recurrence CFD to decouple fast, recurrent dynamics from slower degrees of freedom.
Explanations for this behavior range from a distribution of activation energies and relaxation times [5, 9], to a hierarchically constrained sequence of serial relaxation processes in which the fast degrees of freedom (involving the motion of single atoms) must relax before the slower degrees of freedom involving the coordinated motion of groups of atoms [84].
Explanations for this behavior range from a distribution of activation energies and relaxation times[5, 9], to a hierarchically constrained sequence of serial relaxation processes in which the fast degrees of freedom (involving the motion of single atoms) must relax before the slower degrees of freedom involving the coordinated motion of groups of atoms[84].
A separate coordinate was assigned to the proton and the procedure was repeated, thus introducing a second adiabatic approximation for the proton with respect to slower degrees of freedom.
It's a transition of slow degrees: a segment of the metal audience resists being co-opted.
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CEO of Professional Science Editing for Scientists @ prosciediting.com