Continuous Semi-Markov Models for Chromatography

Boris P. Harlamov
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Boris P. Harlamov: Russian Academy of Sciences

Chapter Chapter 23 in Semi-Markov Models and Applications, 1999, pp 367-389 from Springer

Abstract: Abstract Continuous semi-Markov processes on a metric space are considered. Some properties of such a process and related functions are discussed, e.g. semi-Markov transition functions, characteristic operators, conditional distribution given sequence of states, connection to Markov processes, differential equations for diffusion type semi-Markov process. The semi-Markov property to have trajectories with intervals of constancy can be used for modeling in chromatography. The model takes into account a special character of movement of a particle through a filter. Formulae for some chromatograph characteristics are derived. The well-known semi-empirical formula of van Deemter is deduced theoretically.

Keywords: Stopping time; first exit; Markov property; transition function; generating function; time change; independent increments; Lévy representation; curvilinear integral; inverse process; interval of constancy; random delay; eluent; detector; absorption; theoretical plate; chromatogram. (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-3288-6_23

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DOI: 10.1007/978-1-4613-3288-6_23

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