We present a particle method for the numerical simulation of boundary value problems for the steady-state Boltzmann equation. Referring to some recent results concerning steadystate schemes, the current approach may be used for multi-dimensional problems, where the collision scattering kernel is not restricted to Maxwellian molecules. The efficiency of the new approach is demonstrated by some n...

One finds, in Maxwell’s writings on thermodynamics and statistical physics, a conception of the nature of these subjects that differs in interesting ways from the way that they are usually conceived. In particular, though—in agreement with the currently accepted view—Maxwell maintains that the second law of thermodynamics, as originally conceived, cannot be strictly true, the replacement he pro...

Disturbance of the Maxwellian plasma may occur in the vicinity of a spacecraft due to photoemission, interactions between the spacecraft and thermospheric gases, or electron emissions from other devices on the spacecraft. Significant non-Maxwellian plasma distributions may also occur in nature as a mixture of ionospheric and magnetospheric plasmas or secondaries produced by photoionization in t...

A new kinetic model for the dynamics of myxobacteria colonies on flat surfaces is derived formally, and first analytical numerical results are presented. The based assumption hard binary collisions two different types: alignment reversal. We investigate versions: a) realistic rod-shaped bacteria b) artificial circular shaped called Maxwellian myxos in ...

Color appearance can be studied using either Maxwellian-view optical systems or natural viewing (Newtonian-view). We show that the results are not precisely comparable when the natural pupil is appreciably larger than the entrance pupil of the Maxwellian beam. The wavelength for any given hue that is obtained from one viewing system is not the same as that obtained from the other viewing system...

For the spatially homogeneous Boltzmann equation with cutoff hard potentials it is shown that solutions remain bounded from above, uniformly in time, by a Maxwellian distribution, provided the initial data have a Maxwellian upper bound. The main technique is based on a comparison principle that uses a certain dissipative property of the linear Boltzmann equation. Implications of the technique t...

In this paper Lie’s formalism is applied to deduce classes of solutions of a nonlinear partial differential equation (nPDE) of second order with quadratic nonlinearity. The equation has the meaning of a field equation appearing in the formulation of kinetic models. Similarity solutions and transformations are given in a most general form derived to the first time in terms of reciprocal Jacobian...