a new derivation of the quantum boltzmann transport equation for the fermion system from the quantum time evolution equation for the wigner distribution function is presented. the method exhibits the origin of the time - irreversibility of the boltzmann equation. in the present work, the spin dependent and indistinguishibility of particles are also considered.

The Rice–Ramsperger–Kassel–Marcus (RRKM) theory provides a simple yet powerful rate for calculating microcanonical constants. In particular, it has found widespread use in combination w...

We develop a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities, such as free energy, energy, statistical mechanical entropy, and specific heat, into algorithmic information theory. We investigate the properties of these quantities by means of program-size complexity from the point of view of algorithmic randomness. It i...

the stability of learning rate in neural network identifiers and controllers is one of the challenging issues which attracts great interest from researchers of neural networks. this paper suggests adaptive gradient descent algorithm with stable learning laws for modified dynamic neural network (mdnn) and studies the stability of this algorithm. also, stable learning algorithm for parameters of ...

in this study; utilizing the elastic matrix ball has higher processing efficiency and better superficial quality than traditionalgrinding. the diversity of elastic abrasive tool characteristics contact with bend surface results in irregular wear abrasion，and abrasive tool machining status gets complicated. there is no theoretical interpretation of parameters affecting the grinding accuracy. bec...

A new derivation of the quantum Boltzmann transport equation for the Fermion system from the quantum time evolution equation for the wigner distribution function is presented. The method exhibits the origin of the time - irreversibility of the Boltzmann equation. In the present work, the spin dependent and indistinguishibility of particles are also considered.