Sentence examples for the effective potential for from inspiring English sources

U σ =U−σh is the effective potential for different spin indices.

The objective of HYTHEC HYdrogen THErmo-chemical Cycles is to investigate the effective potential for massive hydrogen production of the S–I thermo-chemical cycle, and to compare it with the hybrid S Westinghouse (WH) cycle.

The procedure starts by assigning ρij = 1/mi (mi is the number of states of the subspace φi, all equally probable), and equation (1) is used to evaluate the effective potential for all states of all subspaces.

This term is the "effective potential" for the solvent-state dynamics, but it includes, in G̅ααp,ad, the distortion of the electronic wave function due to its coupling with the same solvent dynamics.

In the diabatic picture, the common energy of the two localized levels is E j (x) = ⟨ϕ j (x)| V x, q) + T̂ q |ϕ j (x)⟩ and represents the effective potential for the motion of the nuclei at xt in each of the electronic states localized near the donor and acceptor.

Once the effective potentials for all the rotamer states are known, new conformational probabilities of the rotamers are obtained according to the Boltzmann law so as to constitute a new conformational matrix P 1. Next, the absolute error between P 1 and P 0 is calculated.

Cukier notes that the sequential ET and PT processes are coupled in the ET/PT mechanism because the effective potential energy for the proton motion is more favorable for PT after the ET event; then separate solvent fluctuations establish resonance conditions for ET and PT.

The effective potential (V*) for the averaged motion of ions in the fast oscillatory field can be described as where E0 is the amplitude of the oscillatory field, q and m are ion charge and mass of the ion, and Ω is the angular frequency of the oscillatory field.

The diabatic electron proton terms in Figure 23b have been related, in the above analysis, to the proton vibrational levels in the electronic effective potential for the nuclear motion of Figure 23a.

The effective potential, Φ ( s ), for a group with N feedback inputs per cell is Φ ( s ) = − 2 N ∫ 0 s A ( s ′ ) D 1 ( s ′ ) d s ′, (36).

Arranging a tiny enough slope for the effective potential requires a degree of fine-tuning that most cosmologists find philosophically objectionable.