首页|Non-self-averaging of the concentration: Trapping by sinks in the fluctuation regime
Non-self-averaging of the concentration: Trapping by sinks in the fluctuation regime
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NSTL
Elsevier
We consider the nonstationary diffusion of particles in a medium with static random traps-sinks. We address the problem of self-averaging of the particle concentration (or survival probability) in the fluctuation regime in the long-time limit. We demonstrate that the concentration of surviving particles and their trapping rate are strongly non self-averaging quantities. Their reciprocal standard deviations grow with time as the stretched exponentials approximate to exp [const(d,1)t(d/(d+2))]. In higher dimensions d, no tendency to restore self-averaging is revealed. Exponential non-self-averaging is preserved for d = infinity. The 1D solution and the leading exponential terms in higher dimensions are exact. The strong non-self-averaging of the concentration signifies the poor reproducibility of single measurements in different samples, both in experiments and simulations.(c) 2022 Elsevier B.V. All rights reserved.
NSTL
Elsevier
