Stochastic Signatures of Phase Space Decomposition
Joint Authors
Garza-López, Roberto A.
Kozak, John J.
Source
ISRN Computational Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-24
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
We explore the consequences of metrically decomposing a finite phase space, modeled as a d-dimensional lattice, into disjoint subspaces (lattices).
Ergodic flows of a test particle undergoing an unbiased random walk are characterized by implementing the theory of finite Markov processes.
Insights drawn from number theory are used to design the sublattices, the roles of lattice symmetry and system dimensionality are separately considered, and new lattice invariance relations are derived to corroborate the numerical accuracy of the calculated results.
We find that the reaction efficiency in a finite system is strongly dependent not only on whether the system is compartmentalized, but also on whether the overall reaction space of the microreactor is further partitioned into separable reactors.
We find that the reaction efficiency in a finite system is strongly dependent not only on whether the system is compartmentalized, but also on whether the overall reaction space of the microreactor is further partitioned into separable reactors.
The sensitivity of kinetic processes in nanoassemblies to the dimensionality of compartmentalized reaction spaces is quantified.
American Psychological Association (APA)
Kozak, John J.& Garza-López, Roberto A.. 2011. Stochastic Signatures of Phase Space Decomposition. ISRN Computational Mathematics،Vol. 2012, no. 2012, pp.1-4.
https://search.emarefa.net/detail/BIM-513308
Modern Language Association (MLA)
Kozak, John J.& Garza-López, Roberto A.. Stochastic Signatures of Phase Space Decomposition. ISRN Computational Mathematics No. 2012 (2012), pp.1-4.
https://search.emarefa.net/detail/BIM-513308
American Medical Association (AMA)
Kozak, John J.& Garza-López, Roberto A.. Stochastic Signatures of Phase Space Decomposition. ISRN Computational Mathematics. 2011. Vol. 2012, no. 2012, pp.1-4.
https://search.emarefa.net/detail/BIM-513308
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513308