Having analyzed the role of time-ordering boundary conditions in deriving irreversible kinetic equation a general irreversible Liouville equation is proposed. By this equation a variety of irreversible kinetic equations, such as a stochastic diffusion equation, a irreversible project Liouville...

On the basis of a Hamiltonian and canonical formalism of simple parabolic transport processes the action for short time intervals can be calculated. In the knowledge of action, we can examine the stochastic behavior of these processes and we conclude that these are Markovian in the space of...

A generalized Kubo formula for a mesoscopic system is derived describing the conductivity, subject to an (not weak) external electric field, and shown to be expressible in the Landauer–Büttiker form. Using this approach the electrical conductivity of a quantum dot point-contact was expressed...

We study several kinetic equations for quantum information density (QID) based on the classical dynamical statistical information theory (Trans. Beijing Inst. Technol. 24 (2004) 1; Acta Phys. Scinica 53 (2004) 2852). We find that the Liouville equation, SKE and quantum Fokker–Planck equation...

In this paper we propose a lattice analog of phase-space fractional Liouville equation. The Liouville equation for phase-space lattice with long-range jumps of power-law types is suggested. We prove that the continuum limit transforms this lattice equation into Liouville equation with conjugate...

The general formulas of the network for the power exponents of the degree distribution and the entropy are presented based on an open Liouville equation for the driven network. The proposed harmonious unifying hybrid preferential models (HUHPM) have been studied using the obtained formalism, in...

A weak law of large numbers is established for a sequence of systems of N classical point particles with logarithmic pair potential in Rn, or Sn,n∈N, which are distributed according to the configurational microcanonical measure δ(E−H), or rather some regularization thereof, where H is the...