TY - JOUR

T1 - Large fluctuations in diffusion-controlled absorption

AU - Meerson, Baruch

AU - Redner, S.

PY - 2014/8/1

Y1 - 2014/8/1

N2 - Suppose that N0 independently diffusing particles, each with diffusivity D, are initially released at x = ℓ > 0 on the semi-infinite interval 0 x < ∞ with an absorber at x = 0. We determine the probability that N particles survive until time t = T. We also employ macroscopic fluctuation theory to find the most likely history of the system, conditional on there being exactly N survivors at time t = T. Depending on the basic parameter , very different histories can contribute to the extreme cases of N = N0 (all particles survive) and N = 0 (no survivors). For large values of , the leading contribution to comes from an effective point-like quasiparticle that contains all the N0 particles and moves ballistically toward the absorber until absorption occurs.

AB - Suppose that N0 independently diffusing particles, each with diffusivity D, are initially released at x = ℓ > 0 on the semi-infinite interval 0 x < ∞ with an absorber at x = 0. We determine the probability that N particles survive until time t = T. We also employ macroscopic fluctuation theory to find the most likely history of the system, conditional on there being exactly N survivors at time t = T. Depending on the basic parameter , very different histories can contribute to the extreme cases of N = N0 (all particles survive) and N = 0 (no survivors). For large values of , the leading contribution to comes from an effective point-like quasiparticle that contains all the N0 particles and moves ballistically toward the absorber until absorption occurs.

KW - diffusion

KW - large deviations in nonequilibrium systems

KW - stochastic particle dynamics (theory)

UR - http://www.scopus.com/inward/record.url?scp=84940301729&partnerID=8YFLogxK

U2 - 10.1088/1742-5468/2014/8/P08008

DO - 10.1088/1742-5468/2014/8/P08008

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AN - SCOPUS:84940301729

SN - 1742-5468

VL - 2014

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

IS - 8

M1 - P08008

ER -