15 citations · 119 across the 15 of their papers we have counts for
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The precise time-dependent solution of the Fokker-Planck equation with anomalous diffusion
Ran Guo, Jiulin Du
We study the time behavior of the Fokker-Planck equation in Zwanzig rule (the backward-Ito rule) based on the Langevin equation of Brownian motion with an anomalous diffusion in a…
The adiabatic static linear response function in nonextensive statistical mechanics
Ran Guo, Jiulin Du
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 revi…
Are power-law distributions an equilibrium distribution or a stationary nonequilibrium distribution?
Ran Guo, Jiulin Du
We examine whether the principle of detailed balance holds for the power-law distributions generated from the general Langevin equation under the generalized fluctuation-dissipatio…
Power-law behaviors from the two-variable Langevin equation: Ito's and Stratonovich's Fokker-Planck equations
Ran Guo, Jiulin Du
We study power-law behaviors produced from the stochastically dynamical system governed by the well-known two-variable Langevin equations. The stationary solutions of the correspon…
Energy distribution and energy fluctuation in Tsallis statistics
Ran Guo, Jiulin Du
The energy distribution and the energy fluctuation in the Tsallis canonical ensemble are studied with the OLM formalism but following a new way. The resulting formula for the energ…