TY - JOUR
T1 - Diffusion with random traps
T2 - Transient one-dimensional kinetics in a linear potential
AU - Agmon, Noam
PY - 1986/5
Y1 - 1986/5
N2 - The problem of one-dimensional diffusion with random traps is solved without and with a constant field of force. Using an eigenvalue expansion for long times and the method of images for short times we give an exact, straightforward solution for the time dependence of the mean survival probability and the mean probability density for returning to the origin. Using the backward equation approach, we determine the mean survival time and the mean residence time density at the origin. We comment on the relation between these solutions and those for one-dimensional diffusion with random reflectors.
AB - The problem of one-dimensional diffusion with random traps is solved without and with a constant field of force. Using an eigenvalue expansion for long times and the method of images for short times we give an exact, straightforward solution for the time dependence of the mean survival probability and the mean probability density for returning to the origin. Using the backward equation approach, we determine the mean survival time and the mean residence time density at the origin. We comment on the relation between these solutions and those for one-dimensional diffusion with random reflectors.
KW - Diffusion
KW - mean survival, residence and relaxation times
KW - method of images
KW - random reflectors
KW - random traps
KW - survival probability
UR - http://www.scopus.com/inward/record.url?scp=0005830960&partnerID=8YFLogxK
U2 - 10.1007/BF01020652
DO - 10.1007/BF01020652
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0005830960
SN - 0022-4715
VL - 43
SP - 537
EP - 559
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 3-4
ER -