scholarly journals Long time tails in diffusion-controlled recombinations

1992 ◽  
Author(s):  
T. Ohtsuki
Keyword(s):  
Long Time Tails ◽  
Diffusion Controlled ◽  
Long Time

Experimental observation of “long time tails”?

1976 ◽  
Vol 55 (7) ◽  
pp. 391-392 ◽  
Author(s):  
J.P. Boon ◽  
A. Bouiller
Keyword(s):  
Experimental Observation ◽  
Long Time Tails ◽  
Long Time

Long time tails in decay theory

1983 ◽  
Vol 95 (9) ◽  
pp. 477
Author(s):  
M.N. Hack
Keyword(s):  
Long Time Tails ◽  
Long Time

scholarly journals A kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion

2017 ◽  
Vol 967 ◽  
pp. 872-875 ◽  
Author(s):  
Yukinao Akamatsu ◽  
Aleksas Mazeliauskas ◽  
Derek Teaney
Keyword(s):  
Kinetic Regime ◽  
Long Time Tails ◽  
Hydrodynamic Fluctuations ◽  
Long Time

THOMPSON's METHOD APPLIED TO THE BROWNIAN AND NON-BROWNIAN DIFFUSION-CONTROLLED REACTIONS OF TYPE kA → lA (l < k)

2002 ◽  
Vol 16 (17) ◽  
pp. 601-613 ◽  
Author(s):  
CLÁUDIO NASSIF ◽  
P. R. SILVA
Keyword(s):  
Renormalization Group ◽  
Good Description ◽  
Wave Length ◽  
Group Scheme ◽  
Single Species ◽  
Critical Dimension ◽  
Stationary Regime ◽  
Brownian Diffusion ◽  
Diffusion Controlled ◽  
Long Time

The diffusion-controlled reactions of type kA → lA, with l < k, including the case of the annihilation reaction kA → 0, are studied by using Thompson's method, both in the case of Brownian (γ = 2) as in the case of anomalous (γ ≠ 2) diffusion conditions. These reactions are known to be strongly dependent on fluctuations below some critical dimension dc. We find dc = γ/(k-1) and the asymptotic behavior of density [Formula: see text]. At d = dc, the density goes as <∊> ~ ( ln t/t)1/k-1. For γ = 2, the scaling results obtained here are in agreement with the renormalization group calculations of Lee15 and a more recent work of Oliveira.8 We go further by also studying the case of an external homogeneous source (h) of single species particles A in the case of the stationary regime. Then we obtain the critical exponent δ in [Formula: see text], the dynamical exponent for the relaxation time Δ′ in (τh ~ hΔ′) and the exponent for the concentration decay ξ in (∊ ~ τ- ξ), with all these quantities evaluated in the limit h → 0. We get relations of scaling among critical indexes, and, in the special case of γ = 2, we recover those results previously obtained by Rácz.30 Thompson's method is a simple alternative way to the renormalization group scheme and has been shown to be a good description for the long-time (long wave-length) regime.

Long-time tails in two-dimensional fluids by molecular dynamics

1997 ◽  
Vol 240 (1-2) ◽  
pp. 268-276 ◽  
Author(s):  
Mauro Ferrario ◽  
Antonino Fionino ◽  
Giovanni Ciccotti
Keyword(s):  
Molecular Dynamics ◽  
Two Dimensional ◽  
Long Time Tails ◽  
Long Time
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