TY - JOUR
T1 - Application of continuous time random walks to dielectric relaxation with age-dependent transition rates
AU - Halpern, V.
PY - 1995
Y1 - 1995
N2 - It is shown that the continuous time random walk (CTRW) method provides a simple and natural way of treating problems with age-dependent transition rates (ADTRs) that arise in many theories of non-exponential dielectric relaxation. In particular, ADTRs are especially suitable for analysing systems in which after any transition from one state to another there is initially an increased probability of a return transition to the original state. An extreme example of this is provided by a system of independent symmetric two-state dipoles having ADTRs, and for this system the CTRW method provides simple exact results. It follows from these results that the dielectric relaxation of such systems at short times is usually associated with a distribution of ADTRs. The results of calculations on some model systems are presented and discussed.
AB - It is shown that the continuous time random walk (CTRW) method provides a simple and natural way of treating problems with age-dependent transition rates (ADTRs) that arise in many theories of non-exponential dielectric relaxation. In particular, ADTRs are especially suitable for analysing systems in which after any transition from one state to another there is initially an increased probability of a return transition to the original state. An extreme example of this is provided by a system of independent symmetric two-state dipoles having ADTRs, and for this system the CTRW method provides simple exact results. It follows from these results that the dielectric relaxation of such systems at short times is usually associated with a distribution of ADTRs. The results of calculations on some model systems are presented and discussed.
UR - http://www.scopus.com/inward/record.url?scp=0000532543&partnerID=8YFLogxK
U2 - 10.1088/0953-8984/7/39/011
DO - 10.1088/0953-8984/7/39/011
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AN - SCOPUS:0000532543
SN - 0953-8984
VL - 7
SP - 7687
EP - 7698
JO - Journal of Physics Condensed Matter
JF - Journal of Physics Condensed Matter
IS - 39
M1 - 011
ER -