To extend the kinetic formulation of city size distribution introduced in <a href="#ref1">[1]</a>, the non-Maxwellian kinetic modeling is introduced in the present study, in which a <em>var...To extend the kinetic formulation of city size distribution introduced in <a href="#ref1">[1]</a>, the non-Maxwellian kinetic modeling is introduced in the present study, in which a <em>variable collision kernel</em> is used in the underlying kinetic equation of Boltzmann type. By resorting to the well-known grazing asymptotic, a kinetic Fokker-Planck counterpart is obtained. The equilibrium of the Fokker-Planck equation belongs to the class of generalized Gamma distributions. Numerical test shows good fit of the generalized Gamma distribution with the city size distribution of China.展开更多
文摘To extend the kinetic formulation of city size distribution introduced in <a href="#ref1">[1]</a>, the non-Maxwellian kinetic modeling is introduced in the present study, in which a <em>variable collision kernel</em> is used in the underlying kinetic equation of Boltzmann type. By resorting to the well-known grazing asymptotic, a kinetic Fokker-Planck counterpart is obtained. The equilibrium of the Fokker-Planck equation belongs to the class of generalized Gamma distributions. Numerical test shows good fit of the generalized Gamma distribution with the city size distribution of China.
