in current work a comprehensive mechanism based on intermediate radical termination theory is assumed for raft polymerization of styrene over cumyl dithiobenzoate as raft agent. rate constants for addition (ka) and fragmentation reactions (kf) are set to 6×106 and 5×104 respectively, which lead to an equilibrium constant value of k = ka/kf = 1.2 x 102. moment equations method was used to model ...

ethylene was homopolymerized over ziegler-natta catalyst and the homopolymerization was modeled using moment equations. mechanism was modeled according to five different reaction centers of catalyst. for each center, there are different reaction rate coefficients; therefore the final product of each center would be expected to be different. modeling results showed good conformity to the experim...

in this paper, lagrangian and equations describing one-dimensional anisotropic non-heisenberg model are studied. in this study we used the generalized coherent states in real parametrizations and the feynman path integral for these states in su(3) group. these equations describe nonlinear dynamics of non-heisenberg ferromagnetic chain completely. solutions of these equations are magnetic solito...

a moment equations method was performed to study the reversible chain transfer catalyzed polymerization (rtcp) of styrene in 80°c. to do this, a kinetic scheme containing conventional free radical polymerization reactions and equilibrium reactions of rtcp was assumed. after obtaining mass balance equations, three moment equations were defined for free and dormant radicals and dead chains. monom...

In kinetic treatments of hydrodynamics the macroscopic variables such as density and momentum are given by moments of distribution functions. In discrete kinetic theory it is possible to construct a complete set of moments whose evolution provides a complete description of the dynamics of the underlying kinetic equation. Moreover, the collision operator is most easily specified by its action up...

concrete beams reinforced with glass fiber reinforced polymer (gfrp) bars exhibit large deflections and crack widths as compared with steel reinforced concrete beams due to the low modulus of elasticity of gfrp bars. different studies show that aci 318 equation for the effective moment of inertia ie does not predict deflection well for frp reinforced concrete beams. the purpose of this paper is...

Grad's 13-moment equations describe transport in mildly rarefied gases well, but are not properly embedded into nonequilibrium thermodynamics since they accompanied by a formulation of the second law. In this work, Grad-13 framework GENERIC (general equation for reversible–irreversible coupling), which demands additional contributions to guarantee thermodynamic structure. As building blocks, we...

Models of stochastic image deformation allow study time-continuous effects transforming images by deforming the domain. Applications include longitudinal medical analysis with both population trends and random subject-specific variation. Focusing on a extension LDDMM models evolutions governed EPDiff equation, we use moment approximations corresponding Itô diffusion to construct estimators for ...

In the stochastic formulation of chemical reactions, the time evolution of the first M order statistical moments for the number of molecules of the different species involved is generally not closed, in the sense that they depend on moments of order higher than M. For analysis purposes, the time evolution of the first M order moments is often made to be closed by approximating the higher order ...

In this work we propose a new approach for the numerical simulation of kinetic equations through Monte Carlo schemes. We introduce a new technique which permits to reduce the variance of particle methods through a matching with a set of suitable macroscopic moment equations. In order to guarantee that the moment equations provide the correct solutions, they are coupled to the kinetic equation t...