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Showing 1 to 20 of 33 for “"kinetic equation"”.
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Global existence in L1 for the square-well kinetic equation
… square-well is incorporated into the Enskog equation, in order to model the kinetic theory of a moderately dense gas with intermolecular potential. The existence of solutions to the Cauchy problem in <i>L</i>¹. global in time and for arbitrary initial data. is proved. A simple derivation of …
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Kinetic theory and global existence in Lp1s for a dense square-well fluid
In this paper, we consider the kinetic equation for a dense square-well fluid and the geometric factor Y _ 1, provide the related kinetic theory, and prove a global existence theorem in L1 for the kinetic equation under rather general initial value condition. An analogue of the classical H-theorem …
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Polarization in the Sunyaev-Zeldovich effect
… is required for each photon. The covariant kinetic equation for Compton scattering of partially polarized light by relativistic electrons is obtained in the tensor formalism by a heuristic semi-classical line of reasoning. The kinetic equation is derived first in the electron rest frame in …
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Modeling of sulfide emission from the Virginia sewer system
… occurring simultaneously, each with its own kinetics, any meaningful research can be effected only once the individual processes have been uncoupled and studied separately. The principal objective of this thesis is to predict hydrogen sulfide emission from sewerage along the line of flow for …
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Stationary solutions of abstract kinetic equations
The abstract kinetic equation Tψ’=-Aψ is studied with partial range boundary conditions in two geometries, in the half space x≥0 and on a finite interval [0, r]. T and A are abstract self-adjoint operators in a complex Hilbert space. In the case of the half space problem it is assumed that T is a …
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A study of the crystallization kinetics of isotactic polystyrene
… are analyzed in context of the Lauritzen-Hoffman kinetic theory of polymer crystallization. The primary objectives of the study are to critically test the Lauritzen-Hoffinan theory under conditions not rigorously investigated before and to gain a better understanding of the molecular weight …
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Studies on the hydrodynamic equations based on the theory of diffusive volume transport
… heat or mass. In such cases, the Navier-Stokes equations are unable to correctly predict the continuum fields and observed flow phenomena. A new set of continuum equations has been postulated to take into account density inhomogeneities in the fluid, and the consequent difference between the …
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Differential and Integral Invariance of the Relativistic Vlasov-Boltzmann Equation and the Associated Invariant Variational Problem
Relativistic Vlasov-Boltzmann kinetic equations are constructed from quantum field theory for scalar bosons and Dirac fermion fields. Lie's principle of differential invariance is extended to the case of non-linear integro-differential equations for both scalar and matrix distribution functions, …
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Contributions in fractional diffusive limit and wave turbulence in kinetic theory
… Firstly, we study anomalous transport from kinetic models. Secondly, we consider the equations coming from weak wave turbulence theory and we study them via mean-field limits of finite stochastic particle systems. $\textbf{Anomalous transport from kinetic models.}$ The goal is to understand …
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Cure Kinetics and Processing Parameters of Neat and Reinforced High Performance Epoxy Resins: Evaluation of Techniques
Kinetic equation parameters for the curing reaction of a commercial glass fiber reinforced high performance epoxy prepreg composed of the tetrafunctional epoxy tetraglycidyl 4,4-diaminodiphenyl methane (TGDDM), the tetrafunctional amine curing agent 4,4-diaminodiphenylsulfone (DDS) and an ionic …
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Boundary value and Wiener-Hopf problems for abstract kinetic equations with nonregular collision operators
We study the linear abstract kinetic equation T𝜑(x)′=-A𝜑(x) in the half space {x≥0} with partial range boundary conditions. The function <i>ψ</i> takes values in a Hilbert space H, T is a self adjoint injective operator on H and A is an accretive operator. The first step in the analysis of this …
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Electron Bernstein wave current drive modeling in toroidal plasma confinement
… the numerical code DKE, which solve the drift-kinetic equation. Two scenarios for EBWCD are identified. The first scenario consists of approaching a harmonic of the EC resonance from a lower B-field region and drives current in the plasma core using the Fisch-Boozer mechanism.
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Dynamical pairing states in cold gases
… to the problem including the Boltzmann kinetic equation and time-dependent Ginzburg-Landau theory are not applicable. 'The nonequilibrium dynamics can be explored in cold Fermi gas at a Feshbach resonance, a system with magnetically tunable interaction. Motivated by recent experiments, …
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Investigation of Thin Film Supercurrent and Photodetection in Wide Niobium Nitride Wires
… of the strip. However, predictions based on the kinetic-equation approach showed that within a certain operating regime detection no longer depends on the strip’s width. This prediction was later supported by the experimental demonstration of single photon detection in strips 1-3 𝜇m wide. The …
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Design and synthesis of chemically-modified biosorbents for the removal of anionic metals and dye: kinetic and thermodynamic studies
… and the adsorption thermodynamics and kinetics were also studied. <br/><br/>2 The specific surface area, surface structure and morphology of banana peel before and after modification were characterized by modern analytical techniques, such as BET-N2 adsorption method, infrared spectrum …
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Understanding of weak turbulence of capillary waves
… theoretical derivation, from the primitive Euler equations to the Kinetic Equation (KE) which yields the final power-law solution I ~ CPI/2k-19/4, is re-formulated. While an emphasis is placed on understanding the assumptions in wave turbulence, we correct the analytical evaluation of the …
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An analysis of synchrotron radiation from relativistic electrons in the Alcator C-Mod tokamak
… wavelength range, [lambda] ~~ 300-1000 nm. The kinetic equation solver Code [Landreman et al 2014 Comput. Phys. Commun., Stahl et al 2016 Nucl. Fusion] and synthetic diagnostic Soft [Hoppe et al 2018 Nucl. Fusion] are used to model the evolution of the runaway electron phase space distribution …
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Electron Beam Machine for Continuous Metallurgical Processes
… derived. This derived theory includes a unique equation defined as the 'Kinetic Equation' which under certain circumstances reduces to Boltzmann's gas equation. Additionally a method for generating the stress-energy tensor of a given system is presented, and derived for the generalised theory. …
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Characterization of Cure Kinetics and Physical Properties of a High Performance, Glass Fiber-Reinforced Epoxy Prepreg and a Novel Fluorine-Modified, Amine-Cured Commercial Epoxy.
Kinetic equation parameters for the curing reaction of a commercial glass fiber reinforced high performance epoxy prepreg composed of the tetrafunctional epoxy tetraglycidyl 4,4-diaminodiphenyl methane (TGDDM), the tetrafunctional amine curing agent 4,4'-diaminodiphenylsulfone (DDS) and an ionic …
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Electric fields and transport in optimized stellarators
… which ad-hoc changes are made to Er terms in the kinetic equation to expedite numerical computations. Here we show that at least in a quasisymmetric plasma, this approximate treatment of Er leads to a significant and systematic underestimation of the trapped particle fraction. This distortion of …
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