Based on the generalized Boltzmann equation and the reverse function of the distribution function, we investigate the two-parameter generalized statistics and get an expression between the two parameters (κ,r) and the physical quantities about the system considered. We find that the two...

We have used the generalized two-atom ideal gas model in Tsallis statistics for the statistical description of a real gas. By comparing the heat capacity with the experimental results for the two-atom molecule gases such as N2, O2 and CO, we find that these gases appear to be extensive at normal...

To find out the spatial pattern of comprehensive grain potential, we chose α, Ri, Yi from the research output of farmland grading and took them as the basic data; using the Aggregated Advantage Indices and hierarchical cluster analysis methods, finally regionalized all the 12 counties into 4...

Escape rate in the low-to-intermediate damping connecting the low damping with the intermediate damping is established for the power-law distribution on the basis of flux over population theory. We extend the escape rate in the low damping to the low-to-intermediate damping, and get an...

We examine whether the principle of detailed balance holds for the power-law distributions that are generated from the well-known two-variable Langevin equation and the associated Fokker–Planck equations. With the detailed balance and the generalized fluctuation–dissipation relation, we...

Transition state theory (TST) is generalized to nonequilibrium systems with power-law distributions. The stochastic dynamics that gives rise to the power-law distributions for the reaction coordinate and momentum is modeled by Langevin equations and corresponding Fokker–Planck equations. It is...

We analyze the difference between the three generations of the energy constraint in nonextensive statistical mechanics. Using the third generation of the energy constraint, we revise the isothermal static linear response function and then derive the static linear response function under the...

The concept of temperature duality states that the physical temperature and Lagrange temperature both have physical sense in the nonextensive system. By use of this concept, the isothermal power law distribution and the non-isothermal power law distribution are equivalent to each other when the...

Kramers escape rate in the overdamped systems is restudied for the power-law distribution. By using the mean first passage time, we derive the escape rate with the power-law distribution and obtain the Kramers’ infinite barrier escape rate in this case. We show that the escape rate with the...