The spectrum of light, scattered from a fluid with a stationary temperature gradient, is calculated on the basis of fluctuating hydrodynamics. Explicit expressions are obtained for the spectrum of the scattered light which is no longer symmetric around the frequency of the incident light. In...

A Hamiltonian formalism for hydrodynamics of ideal fluids is developed with the help of Seliger and Whitham's variational principle. It is shown that a density distribution function in the phase space of the mass-density, momentum-density and energy-density fields obeys a Liouville-equation

We formulate a scheme describing the fluctuations in a system obeying the non-linear hydrodynamic equations. The random fluxes are assumed to be Gaussian processes with white noise. It is shown that the usual expressions for the systematic parts of the dissipative fluxes are consistent with this...

A systematic theory of multiple scattering is given for a nonpolar fluid of point dipoles. Local-field correction factors are consistently accounted for to all orders. To first order (single scattering) Einstein's result is obtained; the theory yields, however, automatically to this order the...

The previously developed theory for the renormalization of the diffusion coefficient is applied to a particle of finite size. In the zero-wavenumber, zero-frequency limit the usual Stokes-Einstein result is obtained. The frequency-dependent Burnett coefficients are discussed and it is shown that...

The stationary temperature distributions along a conducting wire, surrounded by a gas, through which a constant electric current is passed, is analysed within the framework of a Hamiltonian formalism. The nature of the inhomogeneous solutions, which occur when the homogeneous solutions become...

A general theory is presented to calculate the wave vector and frequency dependent effective viscosity of a suspension of spheres. The resulting formal expression for the effective viscosity is then used to evaluate the coefficients of the linear and the quadratic terms in an expansion in the...

An extension of the scheme of non-equilibrium thermodynamics developed previously is given for quantum mechanical systems. A master equation for the density matrix of the system follows from this scheme. Onsager relations are given and derived. Application to a spin system gives the Bloch...

The application of non-equilibrium thermodynamics to a system consisting of two bulk phases and their interface is extended to include electromagnetic effects. The interface is assumed to carry singular mass, energy, and entropy densities as well as singular electric charge, electric current,...