One considers the stationary state of a test particle immersed in homogeneous fluid equilibrium at temperature T, undergoing dissipative collisions with particles. It is shown that corresponding linear Boltzmann equation still possesses Maxwellian velocity distribution, an effective smaller than T. This explicitly given terms restitution parameter and masses.

We present a study of the Casimir effect in an imperfect (mean-field) Bose gas contained between two infinite parallel plane walls. The derivation force follows from calculation excess grand-canonical free energy density under periodic, Dirichlet, and Neumann boundary conditions with use steepest descent method. In one-phase region, decays exponentially fast when distance $D$ walls tends to infinity. When Bose-Einstein condensation point is approached, decay length exponential law diverges...

The existence of atoms has been long predicted by philosophers and scientists. development thermodynamics the statistical interpretation its concepts at end nineteenth century in early years twentieth made it possible to bridge gap scales between macroscopic world atoms. Einstein Smoluchowski showed 1905 1906 that Brownian motion particles measurable size is a manifestation fluids. Their derivation was completely different from each other. Langevin 1908 how put coherent framework subtle...

The revised Enskog kinetic theory (RET) is used to describe transport in a hard sphere crystal. connection between the RET and exact density functional (DFT) description of solid state established. derive dissipative linear equations elasticity. elastic moduli these are identical those obtained from equilibrium like DFT. expressions for coefficients (determining sound absorption heat conduction crystal) new. As analogous calculation liquid state, determined by (solid state) two-particle...

Ballistic-annihilation kinetics for a multivelocity one-dimensional ideal gas is studied in the framework of an exact analytic approach. For initial symmetric three-velocity distribution, problem can be solved exactly and it shown that different regimes exist, depending on fraction particles at rest. Extension to case n-velocity distribution discussed.

A kinetic equation for the two-particle conditional distribution of nearest neighbors is derived as a rigorous consequence dynamics ballistic annihilation. The describes completely evolution system when at initial moment higher order distributions factorize into products ones. provides analytic method to study process To illustrate two-velocity case solved explicitly. It shown that annihilation in one dimension creates strong correlations between velocities colliding particles, which rules...

Velocity correlations are studied in granular fluids, modeled by the inelastic hard sphere gas. Making a density expansion of Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy for evolution reduced distributions, we predict presence precollisional velocity correlations. They created propagation through correlated sequences collisions (ring events) generated after dissipative collisions. The have their origin character collisions, being always present fluids. correlations, that manifest...

The problem of ballistically controlled annihilation is revisited for general initial velocity distributions and an arbitrary dimension. An analytical derivation the hierarchy equations obeyed by reduced given, a scaling analysis corresponding spatially homogeneous system performed. This approach points to relevance nonlinear Boltzmann equation dimensions larger than 1 provides expressions exponents describing decay particle density n(t) proportional, variant t(-xi) root-mean-square v...

The dynamics of the classical Lorentz electron gas acted upon by an external field is studied. aim paper to provide instructive example application multiple time-scale method. subtlety and rich physical content problem show in appearance quite different stages evolution gas: switching on effects field, quasistationary linear response regime, long-time dominated heating gas. results reported here had been obtained previously a way.

We present a formal exact analysis of the autocorrelation formulas for transport coefficients in van der Waals fluid. show that first correction due to long range force is order γ (γ = inverse force) and expression this displayed terms Prigogine-Balescu graphs. The crucially rests upon generalization hydrodynamical modes fluid, valid wave numbers smaller or γ.

Sepsis is caused by an inadequate or dysregulated host response to infection. Enzymes causing cellular degradation are matrix metalloproteinases (MMPs). Lipopolysaccharide (LPS) used in models of sepsis laboratory settings The aim the study was measure MMP 2 and 12 concentrations spleen lungs rats which septic shock induced LPS. experiment carried out on 40 male Wistar (5 groups 8): 0. controls 1. administered LPS 2. bestatin 3. 4.bestatin after 6 hours Animals were decapitated. Lungs...

We study the classical dynamics of a charged particle in two dimensions, under influence perpendicular magnetic and an in-plane electric field. prove surprising fact that there is finite region phase space corresponds to otherwise drifting being trapped by local repulsive potential. Our result direct consequence KAM-theory and, particular, Moser's theorem. illustrate it numerical portraits analytic approximation invariant curves.

We consider two-dimensional imperfect attractive Fermi and repulsive Bose gases consisting of spinless point particles whose total interparticle interaction energy is represented by $a{N}^{2}/2V$ with $a=\ensuremath{-}{a}_{F}\ensuremath{\le}0$ for fermions $a={a}_{B}\ensuremath{\ge}0$ bosons. show that, in spite the attraction, thermodynamics a $d=2$ gas remains well defined $0\ensuremath{\le}{a}_{F}\ensuremath{\le}{a}_{0}={h}^{2}/2\ensuremath{\pi}m$, exactly same as one...