2006
DOI: 10.1063/1.2375010
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Models of bipolar charge transport in polyethylene

Abstract: We introduce and develop two bipolar transport models which are based on appreciably different physical assumptions regarding the distribution function in the energy levels of trap states. In the first model, conduction is described by an effective mobility of the carriers and the accumulation of stored space charge is taken into account through a single trapping level. In the second model the hypothesis of an exponential distribution function of trap depth is made, with conduction taking place via a hopping p… Show more

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Cited by 162 publications
(140 citation statements)
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“…(2) are reported in Table 1. These values are at least 2-3 orders of magnitude larger than the typical values of apparent-trap-controlled mobility coming from slow packets (typically10 -12 -10 -14 m 2 /Vs) [8,26]. Even using the local field in (2) the value of mobility is still very high.…”
Section: Evidence For Fast Charge Packetsmentioning
confidence: 90%
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“…(2) are reported in Table 1. These values are at least 2-3 orders of magnitude larger than the typical values of apparent-trap-controlled mobility coming from slow packets (typically10 -12 -10 -14 m 2 /Vs) [8,26]. Even using the local field in (2) the value of mobility is still very high.…”
Section: Evidence For Fast Charge Packetsmentioning
confidence: 90%
“…At other times, heterocharge is seen to accumulate close to electrodes. Models based on charge injection via a Schottky barrier, transport via either two levels of traps or a continuous exponential trap distribution, and presence or absence of an extraction barrier are able to reproduce many of the main features of space charge and conduction current that have been observed, though the details cannot yet be fully simulated [5][6][7][8][9].…”
Section: Introductionmentioning
confidence: 99%
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“…80 MV/m 18,24-27 however in those cases the pulses often show variations of amplitude both during transit and over a sequence of pulses, and more importantly a mobility (l ¼ 10 À16 -10 À15 m 2 V À1 s À1 ), and activation energy (1-1.2 eV) 13,27 close to that of the carriers in steady state currents. Explanations for these pulses have been proffered in terms of a negative differential resistance, 28 imbalance between injection/extraction and transport 29 or a dc-conductivity discontinuity. 30 However the current observations differ in the following important points: (a) the charge pulse always initiates from the electrode interface and contains a polarity specific quantity of carriers, and (b) the mobility of the carriers as a coherent group is many orders of magnitude higher than the carrier mobility determined from steady state currents in Polyethylene (l ¼ 10 À15 -10 À14 m 2 V À1 s À1 ).…”
Section: Resultsmentioning
confidence: 99%
“…The source terms due to irradiation (electron beam and electron/hole pair generation in (4) and (6)) disappear during the relaxation period. Generation of positive or negative charges at the grounded electrode is possible through a modified Schottky law [18], the nature of injected carriers being function of the sign of the electric field: (9) where A is the Richardson constant, e the elementary charge, and w inj the injection barrier height. k B is the Boltzmann constant, T the temperature, and E(L,t) the electric field at the electrode at position L. The extraction of charges is possible at the grounded electrode, and follows an ohmic law.…”
Section: Model Equationsmentioning
confidence: 99%