Ad. Rutenberg, REACTION ZONES AND QUENCHED CHARGED-PARTICLE SYSTEMS WITH LONG-RANGE INTERACTIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(3), 1998, pp. 2918-2930
We determine the evolving segregated or mixed morphology of charged-pa
rticle systems with long-range power-law interactions and overall char
ge neutrality that have been quenched to a low temperature. Segregated
morphology systems are characterized by the size of uniformly charged
domains, L(t), the particle separation within the domains, l(AA)(t),
the particle flux density leaving the domains, J(t), the width of reac
tion zones between domains, W(t), the particle spacing within the reac
tion zones, l(AB)(t), and the particle lifetime in the reaction zones,
tau(t). Mixed morphology systems are essentially one large reaction z
one, with L similar to l(AB)similar to l(AA). By relating these quanti
ties through the scaling behavior of particle fluxes and microscopic a
nnihilation rates within reaction zones, we determine the characterist
ic time exponents of these quantities at late times, The morphology of
the system, segregated or mixed, is also determined self-consistently
. With this unified approach, we consider systems with diffusion and/o
r long-range interactions, and with either uncorrelated or correlated
high-temperature initial conditions. Finally, we discuss systems with
particlelike topological defects and electronic systems in various sub
strate dimensions-including quantum Hall devices with Skyrmions.