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Journal article

Maximum entropy methods as the bridge between microscopic and macroscopic theory

Abstract:: This paper is concerned with an investigation into a function of macroscopic variables known as the singular potential, building on previous work by Ball and Majumdar. The singular potential is a function of the admissible statistical averages of probability distributions on a state space, defined so that it corresponds to the maximum possible entropy given known observed statistical averages, although non-classical entropy-like objective functions will also be considered. First the set of ad...
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Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Taylor, J. (2016). Maximum entropy methods as the bridge between microscopic and macroscopic theory. Journal of Statistical Physics, 164(6), 1429–1459.

MLA Style

Taylor, J. “Maximum Entropy Methods as the Bridge between Microscopic and Macroscopic Theory.” Journal of Statistical Physics, vol. 164, no. 6, Springer US, 2016, pp. 1429–59.

Chicago Style

Taylor, J. 2016. “Maximum Entropy Methods as the Bridge between Microscopic and Macroscopic Theory.” Journal of Statistical Physics 164 (6): 1429–59.
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Files:: Maximum entropy method...

(Accepted manuscript, pdf, 779.7KB)

Publisher copy:: 10.1007/s10955-016-1587-8

Authors

+ Taylor, J More by this author

Institution:

University of Oxford

Division:

MPLS

Department:

Mathematical Institute

Role:

Author

Funding

+ European Research Council More from this funder

Grant:

FP7/2007-2013-ERC291053

Bibliographic Details

Publisher:: Springer US Publisher's website
Journal:: Journal of Statistical Physics Journal website
Volume:: 164
Issue:: 6
Pages:: 1429-1459
Publication date:: 2016-09-01
Acceptance date:: 2016-07-12
DOI:: 10.1007/s10955-016-1587-8
EISSN:: 1572-9613
ISSN:: 0022-4715

Item Description

Keywords:: maximum entropy methods

liquid crystals

mean-field theory

order parameter constraints
Pubs id:: pubs:638045
UUID:: uuid:3c08171c-3c36-44db-9e21-9c4decb83aad
Local pid:: pubs:638045
Source identifiers:: 638045
Deposit date:: 2017-01-13

Terms of use

Copyright holder:: Springer Science+Business Media New York
Copyright date:: 2016
Notes:: Copyright © 2016 Springer Science+Business Media New York. This is the accepted manuscript version of the article. The final version is available online from Springer at: https://doi.org/10.1007/s10955-016-1587-8

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

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