Journal article

KRAMERS' FORMULA FOR CHEMICAL REACTIONS IN THE CONTEXT OF WASSERSTEIN GRADIENT FLOWS

Abstract:: We derive Kramers' formula as singular limit of the Fokker-Planck equation with double-well potential. The convergence proof is based on the Rayleigh principle of the underlying Wasserstein gradient structure and complements a recent result by Peletier, Savaré and Veneroni. © 2011 International Press.

Publication status:: Published

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APA Style

Herrmann, M., & Niethammer, B. (2011). KRAMERS' FORMULA FOR CHEMICAL REACTIONS IN THE CONTEXT OF WASSERSTEIN GRADIENT FLOWS. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 9(2), 623–635.

MLA Style

Herrmann, M., and B. Niethammer. “KRAMERS' FORMULA FOR CHEMICAL REACTIONS IN THE CONTEXT OF WASSERSTEIN GRADIENT FLOWS.” COMMUNICATIONS IN MATHEMATICAL SCIENCES, vol. 9, no. 2, 2011, pp. 623–35.

Chicago Style

Herrmann, M, and B Niethammer. 2011. “KRAMERS' FORMULA FOR CHEMICAL REACTIONS IN THE CONTEXT OF WASSERSTEIN GRADIENT FLOWS.” COMMUNICATIONS IN MATHEMATICAL SCIENCES 9 (2): 623–35.
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Publisher copy:: 10.4310/CMS.2011.v9.n2.a15

Authors

+ Herrmann, M More by this author

Role:: Author

+ Niethammer, B More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Journal:: COMMUNICATIONS IN MATHEMATICAL SCIENCES More from this journal
Volume:: 9
Issue:: 2
Pages:: 623-635
Publication date:: 2011-06-01
DOI:: 10.4310/CMS.2011.v9.n2.a15
EISSN:: 1945-0796
ISSN:: 1539-6746

Language:: English
Keywords:: Rayleigh principle

Wasserstein gradient flow

Kramers' formula

Fokker-Planck equation
Pubs id:: pubs:120224
UUID:: uuid:436877bf-7e7f-4fd4-a091-35150e0e4f5a
Local pid:: pubs:120224
Source identifiers:: 120224
Deposit date:: 2012-12-19

Terms of use

Copyright date:: 2011

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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