Effects of the potential range of the interaction to critical behaviors of quenched random-spin systems are investigated in the limit M → 0 of the MN-component models by means of the renormalization-group theories. As static critical phenomena the stability of the fixed points is investigated...

Conservation laws for a pair of colliding rough spheres are newly formulated, introducing the relative velocity g measured in a reference point Y outside the point of contact and the total angular momentum (spin plus orbital about Y) transferred between the spheres. Rules for rough sphere...

Let Ũ be a local equlibrium ensemble, {Oi} a set of commuting observables and B a linear operator with the following properties: 1.1) Tr(BŨOi)=ddt〈Oi〉, 〈Oi〉=Tr(ŨOi).2.2) These equations are entropy conserving for every Ũ. Then Tr(BŨOi)=0, and hence the Euler equations of fluid...

In this paper we extend the calculation of the free energy in systems with separable interactions of the ferromagnetic type as given in paper I of this series to a more general class of systems characterized by a hamiltonian, in which the one-particle operator ΣkT(k) is replaced by a more...

The d.c. electrical resistivity is considered for a general solid state model characterized by local interactions of the charge carriers with a system of scatterers which may be e.g. quasiparticles, spins or impurities. A basic relationship - valid over the full temperature range - between the...

A field theory is said to be of “Einstein type” if it has the property that the field equations imply the equations of motion. It is known that general relativity is of Einstein type, it is demonstrated here that the Yang-Mills gauge theory is of Einstein type. The relationship between the...

The high-temperature series expansions for the square of the fluctuation in the order parameter, for the specific heat, the concentration and the concentration susceptibility for the Takagi model on an f.c.c. lattice are analysed in the field variables. We obtain for the critical exponent γ =...

A model very similar to the one we have previously studied1) and closely related to a model of Lamb and Scully2) is considered. Atoms described as two-level systems, initially in an incoherent superposition of the two levels, interact successively with a one-mode electromagnetic field during a...

Defining the electromagnetic potential in a dynamical sense and abandoning its traditionally assumed vectorial character, we have obtained an hamiltonian description of electrodynamics in Coulomb gauge. The surprising and spectacular feature of this new description is that it is relativistically...

We present a new formalism in Fourier space for the study of spatially nonuniform fluids in nonequilibrium states which generalizes previous work on uniform fluids. Starting from the Liouville equation we obtain a hierarchy of equations for the reduced distribution functions which gives their...