Sentence examples for mean field exponent from inspiring English sources

We show that the peak splitting is analogous to a supercritical bifurcation in nonlinear dynamical systems, with a "mean field" exponent of 0.5.

This is the mean-field exponent of a critical branching process [10].

In fact this mean-field exponent turns up in several kinds of percolation processes on random graphs, including both isotropic and directed percolation.

i is the imaginary unit; (alphain 0,1]) is the fractional order; △ is the Laplacian; (beta>0) is referred as the magnetic trapping strength; (mu>0 ) is the mean-field exponent; (lambdainmathbb{R}) is the external driven field constant; (gamma_{ij}) is for the intra specific scattering lengths; (phi_{1}), (phi_{2}) are wave functions of a quantum system.

The parameter set can be listed as i is the imaginary unit; (alphain 0,1]) is the fractional order; △ is the Laplacian; (beta>0) is referred as the magnetic trapping strength; (mu>0 ) is the mean-field exponent; (lambdainmathbb{R}) is the external driven field constant; (gamma_{ij}) is for the intra specific scattering lengths; (phi_{1}), (phi_{2}) are wave functions of a quantum system.

The observation of an apparently universal critical exponent in a nonequilibrium state is explained using an analytical model analogous of mean field theory.

However, the measured exponent ν = 0.68 ± 0.1 is significantly larger than that previously predicted from mean field models and computer simulations of three-dimensional film growth (ν = 0.4).

The observed exponent of 0.5 is generally expected for dynamical systems that exhibit pitchfork bifurcation, which is intimately related to the mean field dynamics theory of an equilibrium order parameter with Z2 symmetry, such as the Ising model near a phase transition.

The name Kurukshetra means "field of Kuru".

"Sadeh" means field: as in field of study, of action.

Within the temperature range of the experiments, the critical behaviour of both unlabelled and labelled blends can be accurately expressed by the mean-field theory with the critical exponents v = 12 and y = 1.