Back to Search Start Over

Perspective: Maximum caliber is a general variational principle for dynamical systems.

Authors :
Dixit, Purushottam D.
Wagoner, Jason
Weistuch, Corey
Pressé, Steve
Ghosh, Kingshuk
Dill, Ken A.
Source :
Journal of Chemical Physics. 2018, Vol. 148 Issue 1, p1-N.PAG. 10p. 4 Diagrams, 1 Graph.
Publication Year :
2018

Abstract

We review here Maximum Caliber (Max Cal), a general variational principle for inferring distributions of paths in dynamical processes and networks. Max Cal is to dynamical trajectories what the principle of maximum entropy is to equilibrium states or stationary populations. In Max Cal, you maximize a path entropy over all possible pathways, subject to dynamical constraints, in order to predict relative path weights. Many well-known relationships of non-equilibrium statistical physics--such as the Green-Kubo fluctuation-dissipation relations, Onsager's reciprocal relations, and Prigogine's minimum entropy production--are limited to near-equilibrium processes. Max Cal is more general. While it can readily derive these results under those limits, Max Cal is also applicable far from equilibrium. We give examples of Max Cal as a method of inference about trajectory distributions from limited data, finding reaction coordinates in bio-molecular simulations, and modeling the complex dynamics of non-thermal systems such as gene regulatory networks or the collective firing of neurons. We also survey its basis in principle and some limitations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00219606
Volume :
148
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Chemical Physics
Publication Type :
Academic Journal
Accession number :
127173719
Full Text :
https://doi.org/10.1063/1.5012990