Hierarchically constrained dynamics of the configurational coordinate for rate processes in complex systems

Yuri A. Berlin; Alexander L. Burin

doi:10.1016/S0009-2614(97)00101-2

Hierarchically constrained dynamics of the configurational coordinate for rate processes in complex systems

Yuri A. Berlin^*, Alexander L. Burin

^*Corresponding author for this work

Chemistry

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A class of models has been proposed for the dynamics of the local configurational changes governing rate processes in complex systems. Models that fall into this class are based on a hierarchical picture of a complex object. In addition, they include constraints in order to take into account the coupling between local and global configurational rearrangements of a complex object. Using the simplest formulation possible, we have shown that the net effect of global modes on the dynamics of the configuration coordinate is the anomalous time-dependent diffusivity. The latter arises only below a certain temperature prescribed by the energy distribution of configurational substates.

Original language	English (US)
Pages (from-to)	234-243
Number of pages	10
Journal	Chemical Physics Letters
Volume	267
Issue number	3-4
DOIs	https://doi.org/10.1016/S0009-2614(97)00101-2
State	Published - Mar 21 1997

ASJC Scopus subject areas

Physics and Astronomy(all)
Physical and Theoretical Chemistry

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10.1016/S0009-2614(97)00101-2

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title = "Hierarchically constrained dynamics of the configurational coordinate for rate processes in complex systems",

abstract = "A class of models has been proposed for the dynamics of the local configurational changes governing rate processes in complex systems. Models that fall into this class are based on a hierarchical picture of a complex object. In addition, they include constraints in order to take into account the coupling between local and global configurational rearrangements of a complex object. Using the simplest formulation possible, we have shown that the net effect of global modes on the dynamics of the configuration coordinate is the anomalous time-dependent diffusivity. The latter arises only below a certain temperature prescribed by the energy distribution of configurational substates.",

author = "Berlin, {Yuri A.} and Burin, {Alexander L.}",

note = "Funding Information: This work is supported by the Deutsche Forschungsgemeinschaft. YuAB greatly acknowledges the DFG grant No. 436 RUS 17/46/96. ALB is indebted to the Alfred Toepfer Foundation and to the Netherlands Organization for Scientific Research. The authors would like to thank Professor Dr. J. Klafter for reprints of his works and valuable information.",

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N2 - A class of models has been proposed for the dynamics of the local configurational changes governing rate processes in complex systems. Models that fall into this class are based on a hierarchical picture of a complex object. In addition, they include constraints in order to take into account the coupling between local and global configurational rearrangements of a complex object. Using the simplest formulation possible, we have shown that the net effect of global modes on the dynamics of the configuration coordinate is the anomalous time-dependent diffusivity. The latter arises only below a certain temperature prescribed by the energy distribution of configurational substates.

AB - A class of models has been proposed for the dynamics of the local configurational changes governing rate processes in complex systems. Models that fall into this class are based on a hierarchical picture of a complex object. In addition, they include constraints in order to take into account the coupling between local and global configurational rearrangements of a complex object. Using the simplest formulation possible, we have shown that the net effect of global modes on the dynamics of the configuration coordinate is the anomalous time-dependent diffusivity. The latter arises only below a certain temperature prescribed by the energy distribution of configurational substates.

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Hierarchically constrained dynamics of the configurational coordinate for rate processes in complex systems

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