614 research outputs found
Wave Propagation and Diffusive Transition of Oscillations in Pair Plasmas with Dust Impurities
In view of applications to electron-positron pair-plasmas and fullerene
pair-ion-plasmas containing charged dust impurities a thorough discussion is
given of three-component Plasmas. Space-time responses of multi-component
linearized Vlasov plasmas on the basis of multiple integral equations are
invoked. An initial-value problem for Vlasov-Poisson -Ampere equations is
reduced to the one multiple integral equation and the solution is expressed in
terms of forcing function and its space-time convolution with the resolvent
kernel. The forcing function is responsible for the initial disturbance and the
resolvent is responsible for the equilibrium velocity distributions of plasma
species. By use of resolvent equations, time-reversibility, space-reflexivity
and the other symmetries are revealed. The symmetries carry on physical
properties of Vlasov pair plasmas, e.g., conservation laws. Properly choosing
equilibrium distributions for dusty pair plasmas, we can reduce the resolvent
equation to: (i) the undamped dispersive wave equations, (ii) wave-diffusive
transport equation (iii) and diffusive transport equations of oscillations. In
the last case we have to do with anomalous diffusion employing fractional
derivatives in time and space. Fractional diffusion equations account for
typical anomalous features, which are observed in many systems, e.g. in the
case of dispersive transport in amorphous semiconductors, liquid crystals,
polymers, proteins and biosystems.Comment: 6 page
Domain Wall Dynamics of Phase Interfaces
The statics and dynamics of a surface separating two phases of a relativistic
quantum field theory at or near the critical temperature typically make use of
a free energy as a functional of an order parameter. This free energy
functional also affords an economical description of states away from
equilibrium. The similarities and differences between using a scalar field as
the order parameter versus the energy density are examined, and a peculiarity
is noted. We also point out several conceptual errors in the literature dealing
with the dynamical prefactor in the nucleation rate.Comment: 12 pages plus 5 figure
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