Abstract. It is shown that for more than three competing species, Volterra differential equations with "destructive" nonlinear interactions can display numerically complicated asymptotic dynamics.
We define the conditions for which a population inversion with respect to the ground state, due to recombination at high electron densities, can appear in cold laser plasmas. We point out the interest of giant and short laser pulses for producing such plasmas.
The method of functional integration, in conjunction with a Monte Carlo technique, is used to study ’’two-dimensional vesicles,’’ represented by closed loops analogous to ring polymers. The generation of arbitrary shape functions obeying a number of topological constraints is described. The probability distribution functions of several parameters, such as radius of curvature, internal surface, closest and largest distances between edges, and symmetry factors, are presented.
One-dimensional photon solitons and plasmon solitons due to nonlinear scattering of bosons by plasma particles are governed by the same type of nonlinear integrodifferential kinetic equation. A numerical study shows that paired collisions between boson solitons can take place at a finite range the same as for particles having a potential. The existence of two exact invariants of motion forces the two outgoing solitons to be equivalent to the incoming ones after exchanging their identities. Multiple soliton collisions violate this.
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