Dynamics of Markovian Particles

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Dynamics of Markovian Particles (or DMP) is the basis of a theory for kinetics of particles in open heterogeneous systems. The theory can be looked upon as an application of the notion of stochastic process conceived as a physical entity; e.g. the particle moves because(!) there is a transition probability acting on it.

Two particular results might be noticed: (1) an ergodic like relation between the motion of particle and the corresponding steady state, and (2) that the classic notion of geometric volume appears nowhere (e.g. a concept such as flow of substance is not expressed as litres per time-unit but as number of particles per time unit). The theory is applied for solving a classic paradox of the absorption of mercury by fish and by mollusk. The theory is also applied for a purely probabilistic derivation of the fundamental equation of chemical kinetics (conservation of mass).

See Bergner---A kinetics of macroscopic particles in open heterogeneous systems