We discuss a nonlinear model for the relaxation by energy redistribution within an isolated, closed system composed of non-interacting identical particles with energy levels ei with i = 1, 2, . . . , N . The time-dependent occupation probabilities pi(t) are assumed to obey the nonlinear rate equations τ dpi/dt = −pi ln pi − α(t) pi − β(t) eipi where α(t) and β(t) are functionals of the pi(t)’s ...

A model of superconducting vortices under overdamped motion is currently used for describing type-II superconductors. Recently, this model has been identified to a nonlinear Fokker-Planck equation and associated to an entropic form characteristic of nonextensive statistical mechanics, S(2)(t)≡S((q)=2)(t). In the present work, we consider a system of superconducting vortices under overdamped mot...

In this talk we discuss of the rate of convergence to the entropy of dictionary based compressors. A faster rate of convergence to the theoretical compression limit should correspond to better compression in practice, but constants also matters. Therefore in the analysis of the rate of convergence one must also analyse the “transient” phase. Concerning dictionary based compressors, it is known ...

In this talk we discuss of the rate of convergence to the entropy of dictionary based compressors. A faster rate of convergence to the theoretical compression limit should correspond to better compression in practice, but constants also matters. Therefore in the analysis of the rate of convergence one must also analyse the “transient” phase. Concerning dictionary based compressors, it is known ...

Fluctuations of observables as functions of time, or fluctuation patterns, are studied in a chaotic microscopically reversible system that has irreversibly reached a nonequilibrium stationary state. Supposing that during a certain, long enough, time interval the average entropy creation rate has a value s and that during another time interval of the same length it has value −s then we show that...

Protein synthesis on the ribosome involves hydrolysis of GTP in several key steps of the mRNA translation cycle. These steps are catalyzed by the translational GTPases of which elongation factor Tu (EF-Tu) is the fastest GTPase known. Here, we use extensive computer simulations to explore the origin of its remarkably high catalytic rate on the ribosome and show that it is made possible by a ver...

Entropy generation due to viscous incompressible MHD forced convective dissipative fluid flow through a horizontal channel of finite depth in the existence of an inclined magnetic field and heat source effect has been examined. The governing non-linear partial differential equations for momentum, energy and entropy generation are derived and solved by using the analytical method. In addition; t...

a review of damages caused by landslide shows the need for studying effective parameters in landslide occurrence and prediction. this study aims to improve landslide prediction results for tutkabon region in gilan province. to this end, shannon entropy theory was employed for modeling and considering data uncertainty. slope, height, geomorphologic conditions, earth’s curve, closeness to river, ...