The structural and magnetic properties of magnetic multi-core particles were determined by numerical inversion of small angle scattering and isothermal magnetisation data. The investigated particles consist of iron oxide nanoparticle cores (9 nm) embedded in poly(styrene) spheres (160 nm). A thorough physical characterisation of the particles included transmission electron microscopy, X-ray dif...

We describe an alternative method for performing isothermal-isobaric Monte Carlo simulations of crystalline solids. This method uses thermodynamics to estimate appropriate scaling of coordinates relative to their nominal lattice sites in order to increase the probability of acceptance of volume changes. We test this coordinate scaling with three systems: hard spheres, Lennard-Jones spheres, and...

We developed two new EOS additions to the TOUGH+ family of codes, the RealGasH2O and RealGas. The RealGasH2O EOS option describes the non-isothermal two-phase flow of water and a real gas mixture in a gas reservoir (including a tight/shale gas one). The gas mixture is treated as either a single-pseudocomponent having a fixed composition, or as a multicomponent system composed of up to 9 individ...

The internal energy of hard spheres (HS) is the same as that of an ideal gas, so that the energy route to thermodynamics becomes useless. This problem can be avoided by taking an interaction potential that reduces to the HS one in certain limits. In this paper the square-shoulder (SS) potential characterized by a hard-core diameter σ′, a soft-core diameter σ > σ′ and a shoulder height ǫ is cons...

For a general class of linear collisional kinetic models in the torus, including in particular the linearized Boltzmann equation for hard spheres, the linearized Landau equation with hard and moderately soft potentials and the semi-classical linearized fermionic and bosonic relaxation models, we prove explicit coercivity estimates on the associated integro-differential operator for some modifie...

is a distribution on R×Sd with fairly nasty behavior; its singular support is all of R×Sd. However, J. Rauch pointed out to me that when d = 1 and t is a rational multiple of π (we say t ∈ πQ), then e−it∆δ(x) ∈ D′(S1) is a finite sum of delta functions on S1. Hence for such t ∈ πQ, e−it∆ is bounded on Lp(S1) for each p ∈ [1,∞]. Here we work out an equally precise description of e−it∆ on D′(Sd),...

Imbibition of liquids into porous media has significant importance to many processes. For example one application is the propellant management device (PMD), or liquid acquisition device (LAD), located within spacecraft tanks [1, 7]. The PMDs are designed to ensure gas free delivery of propellant during all mission accelerations. This is done by using a porous medium, a metallic mesh, which prev...

The global existence of entropy solutions is established for the compressible Euler equations for one-dimensional or plane-wave flow of an ideal gas, which undergoes a one-step exothermic chemical reaction under Arrhenius-type kinetics. We assume that the reaction rate is bounded away from zero and the total variation of the initial data is bounded by a parameter that grows arbitrarily large as...

The common definition of the spatially dispersive permittivity is revised. The response of the degenerate electron gas on an electric field satisfying the vector Helmholtz equation is found with a solution to the Boltzmann equation. The calculated longitudinal dielectric function coincides with that obtained by Klimontovich and Silin in 1952 and Lindhard in 1954. However, it depends on the squa...