Distributed identification of nonlinear processes using incremental and diffusion type PSO algorithms

A number of years ago, R. A. Fisher discussed the problem of the propagation of a virile mutant in a population. At about the same time, Kolmogorov, Petrovsky, and Piscounoff, whom we shall refer to as KPP, investigated a general class of partial differential equations which describe simultaneous growth and diffusion processes.

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On nonlinear processes involving population growth and diffusion

Journal of Applied Probability ◽

10.2307/3212023 ◽

1967 ◽

Vol 4 (2) ◽

pp. 281-290 ◽

Cited By ~ 12

Author(s):

Elliott W. Montroll

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Population Growth ◽

General Class ◽

Diffusion Processes ◽

Nonlinear Processes ◽

Partial Differential ◽

And Diffusion ◽

Simultaneous Growth

A number of years ago, R. A. Fisher discussed the problem of the propagation of a virile mutant in a population. At about the same time, Kolmogorov, Petrovsky, and Piscounoff, whom we shall refer to as KPP, investigated a general class of partial differential equations which describe simultaneous growth and diffusion processes.

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Contact interaction at the composites interfaces between the microcrystalline particulate and the molten matrix

Journal of Physics and Electronics ◽

10.15421/331819 ◽

2018 ◽

Vol 26 (2) ◽

pp. 29-32

Author(s):

O. V. Sukhova ◽

Yu. V. Syrovatko

Keyword(s):

Dissolution Rate ◽

Structure Formation ◽

Microcrystalline Structure ◽

Diffusion Type ◽

Crystalline Phases ◽

The Matrix ◽

Quantitative Analyses ◽

Solid Phases ◽

Average Size ◽

And Diffusion

The peculiarities in structure formation of interfacial zones at the composite’s boundaries between the molten Fe–C–B–P–Mo matrix and the filler’s solid phases of W2C and WC that have microcrystalline structure were investigated in this work. The structure of the interfaces was studied by methods of metallographic and automatized quantitative analyses. The interfaces of dissolution-and-diffusion type were observed between the matrix and the filler. A dissolution rate of the filler’s microcrystalline phases of W2C and WC was shown to decrease by ~ 1.7–1.8 times as against that of the crystalline phases of the same composition. This result was explained considering the dependence of an average shift of atoms from the equilibrium positions in the lattice on linear size of the phases. Since the average size of the microcrystalline phases is ~ 25 times smaller than that of the crystalline phases, the average shift of microcrystalline phase atoms from the equilibrium positions decreases by ~ 1.7 times. Correspondingly, the microcrystalline particulate dissolves in the molten matrix at the lower rate than crystalline one which prevents from formation of undesirable brittle compounds in the structure of composite’s interfacial zones during infiltration.

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Meridional Circulation, Turbulence, and Diffusion Processes in Stars

International Astronomical Union Colloquium ◽

10.1017/s0252921100080477 ◽

1976 ◽

Vol 32 ◽

pp. 109-116 ◽

Cited By ~ 1

Author(s):

S. Vauclair

Keyword(s):

Convection Zone ◽

Diffusion Processes ◽

Meridional Circulation ◽

Diffusion Time ◽

Work In Progress ◽

First Results ◽

Stellar Envelopes ◽

And Diffusion ◽

Turbulence And Diffusion ◽

Hr Diagram

This paper gives the first results of a work in progress, in collaboration with G. Michaud and G. Vauclair. It is a first attempt to compute the effects of meridional circulation and turbulence on diffusion processes in stellar envelopes. Computations have been made for a 2 Mʘstar, which lies in the Am - δ Scuti region of the HR diagram.Let us recall that in Am stars diffusion cannot occur between the two outer convection zones, contrary to what was assumed by Watson (1970, 1971) and Smith (1971), since they are linked by overshooting (Latour, 1972; Toomre et al., 1975). But diffusion may occur at the bottom of the second convection zone. According to Vauclair et al. (1974), the second convection zone, due to He II ionization, disappears after a time equal to the helium diffusion time, and then diffusion may happen at the bottom of the first convection zone, so that the arguments by Watson and Smith are preserved.

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