Dynamics of Markovian particles

Dynamics of Markovian particles (DMP) is the basis of a <a href="/facts/Theory/9vrNS1Rr">theory</a> for <a href="/facts/Kinetics_(physics)/wcB4xqpN">kinetics</a> of <a href="/facts/Elementary_particle/CTFDM97U">particles</a> in open heterogeneous systems. It can be looked upon as an application of the notion of <a href="/facts/Stochastic_process/Ng1n1dnB">stochastic process</a> conceived as a physical entity; e.g. the particle moves because there is a transition probability acting on it.
Two particular features of DMP might be noticed: (1) an <a href="/facts/Ergodic/CKY3Gr9v">ergodic</a>-like relation between the motion of particle and the corresponding <a href="/facts/Steady_state/qgrL4BNs">steady state</a>, and (2) the classic notion of geometric <a href="/facts/Volume/aeAXCBUd">volume</a> appears nowhere (e.g. a concept such as flow of "substance" is not expressed as <a href="/facts/Liter/QKwbQz8I">liters</a> per time unit but as number of particles per time unit).
Although primitive, DMP has been applied for solving a classic <a href="/facts/Paradox/3VLGjuWf">paradox</a> of the absorption of <a href="/facts/Mercury_(element)/WlxfoHva">mercury</a> by <a href="/facts/Fish/fln4gH9V">fish</a> and by <a href="/facts/Mollusk/1elgknsQ">mollusks</a>. The theory has also been applied for a purely <a href="/facts/Probability/fgYvMhwb">probabilistic</a> derivation of the fundamental physical principle: <a href="/facts/Conservation_of_mass/fRu05SS1">conservation of mass</a>; this might be looked upon as a contribution to the old and ongoing discussion of the relation between <a href="/facts/Physics/a7aH2y08">physics</a> and <a href="/facts/Probability_theory/mFBn51rE">probability theory</a>.

Dynamics of Markovian particles open-in-new

Dynamics of Markovian particles