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RAUH, H; STONEHAM, AM; (1984) KINETICS OF RECOMBINATION PROCESSES. J PHYS A-MATH GEN , 17 (17) 3299 - 3313. 10.1088/0305-4470/17/17/007. Green open access


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In order to solve nonlinear kinetic equations for recombination reactions when the production of participating species is driven externally at a time-dependent rate, the authors establish a framework based on the correspondence between these equations and a Schrodinger-type equation in which the product of the recombination constant with the production rate plays the role of the potential. The required solutions of the kinetic equations can therefore be obtained by solving the equivalent Schrodinger-type equation directly, or by identifying an appropriately chosen time-dependent function as a particular integral of this equation and deducing the production rates with periodic as well as aperiodic time dependences. The approach is seen to reveal a variety of solutions which can be exploited to assist identification of the mechanisms operating and to aid extraction of rate constants in conjunction with the experiment.

Type: Article
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/0305-4470/17/17/007
Publisher version: http://dx.doi.org/10.1088/0305-4470/17/17/007
Language: English
Additional information: Text made available to UCL Discovery by kind permission of IOP Publishing, 2012
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology
URI: https://discovery.ucl.ac.uk/id/eprint/59681
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