Now showing items 1-10 of 12
interaction function and lattice duals
(AIP Publishing, 1977-10)
An interaction function is defined for lattice models in statistical mechanics. A correlation function expansion is derived, giving a direct proof of the duality relations for correlation functions.
solution of multigroup transport equation in Lp spaces
(AIP Publishing, 1976-11)
The isotropic multigroup transport equation is solved in L p , p_1, for both half range and full range problems, using resolvent integration techniques. The connection between these techniques and a spectral decomposition ...
Case eigenfunction expansion for a conservative medium
(AIP Publishing, 1976-02)
By using the resolvent integration technique introduced by Larsen and Habetler, the one‐speed, isotropic scattering,neutron transport equation is treated in the infinite and semi‐infinite media. It is seen that the results ...
resolvent integration techniques for generalized transport equations
(AIP Publishing, 1979-06)
A generalized class of ’’transport type’’ equations is studied, including most of the known exactly solvable models; in particular, the transport operator K is a scalar type spectral operator. A spectral resolution for K ...
conditional entropy in microcanonical ensemble
(AIP Publishing, 1975-08)
The existence of the configurational microcanonical conditional entropy in classical statistical mechanics is proved in the thermodynamic limit for a class of long_range multiparticle observables. This result generalizes ...
power statistics for wave propagation in one-dimension and comparison with radiative transport-theory. II.
(AIP Publishing, 1974-12)
We consider the one_dimensional problem of a slab having a random index of refraction and illuminated from within by a point source. We compute the expected value and the fluctuations of both the total power and power flux. ...
uniqueness of solutions to linearized Boltzmann equation
(AIP Publishing, 1978-01)
Uniqueness theorems are proved for the linearized Boltzmann equation for both the ’’exterior’’ and ’’interior’’ problems under generalized Maxwellboundary conditions. The solution space is a weighted L p space, and agrees ...
transverse plasma oscillations
(AIP Publishing, 1979)
An operator theoretic approach is used to solve the linearized Vlasov–Maxwell equations for transverse plasma oscillations. In particular, the special cases of simple and second‐order real zeros of the plasma dispersion ...
Vlasov theory of plasma oscillations: linear-approximation
(AIP Publishing, 1977)
A functional analytic approach to the linearized collisionless Vlasov equation is presented utilizing a resolvent integration technique on the resolvent of the transport operator evaluated at a particular point. Formulae ...
multiple-scales space-time analysis of a randomly perturbed one-dimensional wave-equation
(AIP Publishing, 1977-10)
An initial value problem for one_dimensional wave propagation is considered; the medium is assumed to be randomly perturbed as a function of both space and time. The stochastic perturbation theory of Papanicolaou and Keller ...