The time correlation function of concentration fluctuation for PSt-DVB having wave vector q is proved to have the form of an exponential decay. The average decay rate is given by г= q2D.

The features of reversible and irreversible process under mechanical turbulence are described using time correlation function and correlation time of statistical thermodynamics. The relation between the irreversible process and loss in system is discussed.

We have shown that the breakdown of time reversal symmetry results in the invalidity of the Onsager reciproeity relations for the generalized susceptibility.

2) the possibility of the generation of superfluorescence is theoretically verified by the analysis of the linear stability of the thermo-dynamic Maxwell-Bloch equations, and the coherent process of superfluorescence is analysed by the temporal coherence function of the field of radiation obtained: 3) the effective initial tipping angle θ0 and the delay time τD are derived from the fluctuation in statistical thermodynamics.

The average decay rates (linewidth) Γ decreased pronouncedly during the gelation and the lg plots of β1/2g(1)(τ) vs τ were nonlinear, which indicated complex motion models in this aqueous system, where g(1)(τ) and τ were normalized electric field autocorrelation function and delay time, respectively.

On the basis of this solution, the intensity temporal correlation function and the coherent backscattering are described.

For the temporal correlation function, the initial decay law is shown to be of a universal character in complete agreement with the experiment.

The Milne problem solution for the temporal correlation function of an electromagnetic field

A new type of spatio-temporal correlation function for the process approaching the self-organized criticality is investigated within the Bak-Sneppen model for biological evolution.

We derive a characteristic functional, which provides any arbitrary spatio-temporal correlation function of the teleported field, and calculate the fidelity of the teleportation scheme for multimode Gaussian input states.

The time correlation function of a noise signal propagating in an arctic-type waveguide is considered.

The shape of the envelope of the time correlation function is studied for the coherent and reference signals.

Measurement of the space-time correlation function of thermal acoustic radiation

The space-time correlation function of thermal acoustic radiation pressure is measured for a stationary heated source (a narrow plasticine plate).

For the scalar field, the solution found for the time correlation function and the interference component of backscattering is in good agreement with available experimental data.

A method for finding the statistical properties of scattered fields caused by scatterers is established. The chief points of this method are the applications of the theory of random time-varying networks and the theory of streams of random events in queueing theory. An expression of space-time correlation function of scattered fields is established by this method. More factors, such as the random motions of scatterers, the statistical dependence between these motions, the inhomogeneities (including stratified...

A method for finding the statistical properties of scattered fields caused by scatterers is established. The chief points of this method are the applications of the theory of random time-varying networks and the theory of streams of random events in queueing theory. An expression of space-time correlation function of scattered fields is established by this method. More factors, such as the random motions of scatterers, the statistical dependence between these motions, the inhomogeneities (including stratified inhomogeneity) of propagation medium, the dispersion and absorption by the medium, the differences between scatterers, and the like, are taken into account in this expression. These factors are always unnegligible in most practical problems. Moreover, the functional forms of transmitted signals, directivity of radiation, spatial distribution of scatterers, scattering coefficients, etc. are unrestricted in this expression.As an example, the statistical properties of back scattering of underwater sound by the bubbles, the random motions of which are caused by the waves, are studied.

In this paper the problems of linear response of system at nonequilibrium steady state to mechanical perturbations are discussed in Zubarev's nonequilibrium statistical operator. For simplicity, only nonequilibrium steady state to the first approximation is examined. Main conclusions are as follows: Commutation property of the statistical operator and Hamiltonian of steady state has been proved, and the time stationarity of time correlation function of the steady state has also been proved. We have derived the...

In this paper the problems of linear response of system at nonequilibrium steady state to mechanical perturbations are discussed in Zubarev's nonequilibrium statistical operator. For simplicity, only nonequilibrium steady state to the first approximation is examined. Main conclusions are as follows: Commutation property of the statistical operator and Hamiltonian of steady state has been proved, and the time stationarity of time correlation function of the steady state has also been proved. We have derived the fluctuation-dissipation theorem with reference to the nonequilibrium steady state. We have shown nonexistence of symmetry with respect to time reversal of the time correlation function of the steady state. We have shown that the breakdown of time reversal symmetry results in the invalidity of the Onsager reciproeity relations for the generalized susceptibility. Since the causality principle is satisfied in the nonequilibrium steady state, the dispersion relations for the generalized susceptibility still holds true, as proved in my paper.

The solution properties for Poly(styrene-divinylbenzene) (PSt-DVB) in toluene and cyclo-hexane have been studied by photon correlation spectroscopy. The time correlation function of concentration fluctuation for PSt-DVB having wave vector q is proved to have the form of an exponential decay. The average decay rate is given by г= q2D. The variant rate of decay rate is zero within thhe accuracy errors. The first time correlation function of scattering field was analyzed by the method of cumulant. We obtained the...

The solution properties for Poly(styrene-divinylbenzene) (PSt-DVB) in toluene and cyclo-hexane have been studied by photon correlation spectroscopy. The time correlation function of concentration fluctuation for PSt-DVB having wave vector q is proved to have the form of an exponential decay. The average decay rate is given by г= q2D. The variant rate of decay rate is zero within thhe accuracy errors. The first time correlation function of scattering field was analyzed by the method of cumulant. We obtained the diffusion coefficient of PSt-DVB particle as a function of the concentration and tempera ure. The hydrodynamic radii for the particle in the good solvent, and the theta solvent, were calculated by means of Stokes-Einstein equation. The molecular morphology for PSt-DVB particle in solution was also studied.