266 citations · 2.1k across the 78 of their papers we have counts for
36 papers · 1 filter
The nonextensive statistical ensembles with dual thermodynamic interpretations
Yahui Zheng, Jiulin Du, Linxia Liu +1
The nonextensive statistical ensembles are revisited for the complex systems with long-range interactions and long-range correlations. An approximation, the value of nonextensive p…
The dual formalisms of nonextensive thermodynamics for open systems with maximum entropy principle
Yahui Zheng, Haining Yu, Jiulin Du
We study the nonextensive thermodynamics for open systems. On the basis of the maximum entropy principle, the dual power-law q-distribution functions are re-deduced by using the du…
Thermodynamic properties of the solid and metal electrons in the nonextensive quantum statistics with a nonextensive parameter transformation
Yahui Zheng, Jiulin Du
We study the thermodynamic properties of solid and metal electrons in the nonextensive quantum statistics with a nonextensive parameter transformation. First we study the nonextens…
Thermodynamic stability criterion and fluctuation theory in nonextensive thermodynamics
Zheng Yahui, Du Jiulin, Liang Faku
We have constructed a nonextensive thermodynamic formalism consisting of two sets of parallel Legendre transformation structures in previous papers. One is the physical set and the…
The limit behavior of the evolution of Tsallis entropy in self-gravitating systems
Yahui Zheng, Jiulin Du, Faku Liang
In this letter, we study the limit behavior of the evolution of Tsallis entropy in self-gravitating systems. The study is carried out under two different situations, drawing the sa…
Nonextensive thermodynamic relations based on the assumption of temperature duality
Yahui Zheng, Jiulin Du
The nonextensive thermodynamic relations are expressed under the assumption of temperature duality, endowing the "physical temperature" and the "Lagrange temperature" in different…
The nonextensive parameter for the rotating astrophysical systems with power-law distributions
Haining Yu, Jiulin Du
We study the nonextensive parameter for the rotating astrophysical systems with power-law distributions, including both the rotating self-gravitating system and the rotating space…
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…
Two physical explanations of the nonextensive parameter in a self-gravitating system
Yahui Zheng, Jiulin Du
We present two possible physical explanations of the nonextensive parameter in a self-gravitating system. One is related to the detailed balance in such system. With the detailed b…
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…
Entropy production rate of nonequilibrium systems from the Fokker-Planck equation
Haitao Yu, Jiulin Du
The entropy production rate of nonequilibrium systems is studied via the Fokker-Planck equation. This approach, based on the entropy production rate equation given by Schnakenberg…
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…
The collision theory reaction rate coefficient for power-law distributions
Cangtao Yin, Jiulin Du
The collision theory for power-law distributions and a generalized collision theory rate coefficient is studied when the reactions take place in nonequilibrium systems with power-l…
Escape rate for the power-law distribution in low-to-intermediate damping
Yanjun Zhou, Jiulin Du
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 popu…
Kramers escape rate in overdamped systems with the power-law distribution
Yanjun Zhou, Jiulin Du
Kramers escape rate in the overdamped systems with the power-law distribution is studied. By using the mean first passage time, we derive the escape rate for the power-law distribu…
The mean first passage time in an energy-diffusion controlled regime with power-law distributions
Yanjun Zhou, Jiulin Du
Based on the mean first passage time (MFPT) theory, we derive the expression of the MFPT in the energy-diffusion controlled regime with a power-law distribution. We discuss the fin…
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…
Power-law distributions and fluctuation-dissipation relation in the stochastic dynamics of two-variable Langevin equations
Jiulin Du
We show that the general two-variable Langevin equations with inhomogeneous noise and friction can generate many different forms of power-law distributions. By solving the correspo…
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…
Stochastic dynamical theory of power-law distributions induced by multiplicative noise
Jiulin Du
The two-variable Langevin equations, modeling the Brownian motion of a particle moving in a potential and leading to the Maxwell-Boltzmann distribution of the corresponding Fokker-…
On the power-law q-distribution function based on the probabilistically independent postulate in nonextensive statistics
Jiulin Du
We deal with the power-law q-distribution functions, so-called q-exponentials in nonextensive statistics. The system considered is a many-body Hamiltonian system with arbitrary int…
Thermodynamic potentials and Thermodynamic Relations in Nonextensive Thermodynamics
Lina Gu, Jiulin Du
The generalized Gibbs free energy and enthalpy is derived in the framework of nonextensive thermodynamics by using the so-called physical temperature and the physical pressure. Som…
The two parameters (k, r) in the generalized statistics
Lina Guo, Jiulin Du
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 bet…
Heat capacity of the generalized two-atom and many-atom gas in nonextensive statistics
Lina Guo, Jiulin Du
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 resu…