Abstract A new model of nonlinear electrodynamics is introduced and investigated. The theory carries one dimensionful parameter ? as in Born-Infeld electrodynamics. It shown that the dual symmetry dilatation (scale) are broken proposed model. electric field a point-like charge derived for this model, showing it non-singular at origin. Using field, static energy calculated. In presence an extern...

We investigate the effects of quenched bond randomness on the critical properties of the two-dimensional ferromagnetic Ising model embedded in a triangular lattice. The system is studied in both the pure and disordered versions by the same efficient two-stage Wang-Landau method. In the first part of our study, we present the finite-size scaling behavior of the pure model, for which we calculate...

We present detailed analytical studies on the zero-temperature coarsening dynamics in an Ising spin chain in the presence of a dynamically induced field that favors locally the "-" phase compared to the "+" phase. We show that the presence of such a local kinetic bias drives the system into a late time state with average magnetization m equal to -1. However the magnetization relaxes into this f...

Diffusion on a T fractal lattice under the influence of topological biasing fields is studied by finite size scaling methods. This allows to avoid proliferation and singularities which would arise in a renormalization group approach on infinite system as a consequence of logarithmic diffusion. Within the scheme, logarithmic diffusion is proved on the basis of an analysis of various temporal sca...

The paper explores utility measures by combining experiments with mathematical derivations in the psychophysics paradigm. The analysis on the ultimatum game experiment reveals evidences for the utility threshold and thus supports Bernoulli’s utility logarithmic law. Both experimental results and theoretical derivations show that the logarithmic law is suitable for the description of commodity c...

Several finite elastic strain measures are evaluated for use in constitutive models of crystalline elasticity and elasto-plasticity. These include the Green material strain tensor, the Eulerian material strain tensor, and the logarithmic material strain tensor, all of which are referred to locally relaxed coordinates invariant under spatial rotations. New applications of logarithmic strain-base...