Maxwell’s first derivation of the equilibrium distribution function for a dilute gas is generalized in the spirit of the nonextensive q-statistics proposed by Tsallis. As an application, the q-Doppler broadening of spectral lines due to the random thermal motion of the radiating atoms is derived. 05.45.+b; 05.20.-y; 05.90.+m Typeset using REVTEX ∗[email protected] †[email protected]...

The local structure entropy is a new method which is proposed to identify the influential nodes in the complex networks. In this paper a new form of the local structure entropy of the complex networks is proposed based on the Tsallis entropy. The value of the entropic index q will influence the property of the local structure entropy. When the value of q is equal to 0, the nonextensive local st...

We introduce a new nonextensive entropic measure Sχ that grows like N , where N is the size of the system under consideration. This kind of nonextensivity arises in a natural way in some N-body systems endowed with long-range interactions described by r−α interparticle potentials. The power law (weakly nonextensive) behavior exhibited by Sχ is intermediate between (1) the linear (extensive) reg...

Equilibrium or meta-equilibrium incomplete thermostatistics with different q indices Abstract We discuss a possibility of establishing a nonextensive incomplete statistics based on Tsallis entropy for equilibrium systems with different q values.

We seek to utilize the nonextensive statistics to the microscopic modeling of the interacting many-investor dynamics that drive the price changes in a market. The statistics of price changes are known to be fit well by the Students-T and power-law distributions of the nonextensive statistics. We therefore derive models of interacting investors that are based on the nonextensive statistics and w...

We have conducted experiments on an asymmetrically forced quasi-two-dimensional turbulent flow in a rapidly rotating annulus. Assuming conservation of potential enstrophy and energy, we maximize a nonextensive entropy function to obtain the azimuthally averaged vorticity as a function of radial position. The predicted vorticity profile is in good accord with the observations. A nonextensive for...

We have discussed dynamical properties of the Tsallis entropy and the generalized Fisher information in nonextensive systems described by the Langevin model subjected to additive and multiplicative noise. Analytical expressions for the timedependent Tsallis entropy and generalized Fisher information have been obtained with the use of the q-moment approach to the Fokker-Planck equation developed...