The failure of the master equation for the reactive systems

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dc.creatorKoleva, Maria K.
dc.date2004-12-15
dc.date.accessioned2026-07-07T03:02:42Z
dc.date.available2026-07-07T03:02:42Z
dc.descriptionTwo crucial for the breakdown of the master equation arguments are put forward. The first one is related to the violence of a fundamental requirement to the notion of state (thermodynamical) variable, namely: a state variable is defined provided it is insensitive to the particularities of the spatio-temporal configurations upon which the averaging over the dynamical variables proceeds. The second one is related to a ubiquitous divergence of the scattering length in the low-energy limit. In turn, it makes the rates of all the elementary processes divergent as well. Though radically novel viewpoints to the low-energy limit and to the evolution ensure the boundedness of the rates and hold the notion of a state variable available, the master equation remains inappropriate.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0412395
dc.identifierhttp://arxiv.org/abs/cond-mat/0412395
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25490
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.subjectCellular Automata and Lattice Gases
dc.titleThe failure of the master equation for the reactive systems
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