UPPER LIMIT OF RATE OF INFORMATION TRANSMISSION FOR THERMAL AND EXTERNAL COLORED NONGAUSSIAN NOISES DRIVEN DYNAMICAL SYSTEM

Abstract

In this paper we have studied information dynamics of both internal and external noises driven harmonic oscillator. Based on the Fokker–Planck description of the stochastic processes and the Schwarz inequality principle we have calculated upper bound of rate of change of information entropy with time and its deviation from the time derivative of the entropy. The bound and the deviation monotonically decreases to zero during the relaxation of a given nonequilibrium state to a stationery state. The relaxation time increase with increase of noise correlation time of the internal colored thermal noise but it is independent on the correlation time of the external colored noise. However, an extremum behavior appears in the variation of the bound as a function of parameter of the system such as damping strength, noise correlation time of thermal and nonthermal noises etc.