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

Purushottam D Dixit1, Jason Wagoner2, Corey Weistuch2

  • 1Department of Systems Biology, Columbia University, New York, New York 10032, USA.

The Journal of Chemical Physics
|January 8, 2018
PubMed
Summary
This summary is machine-generated.

Maximum Caliber (Max Cal) predicts path distributions in dynamical systems by maximizing path entropy. This general principle applies far from equilibrium, unlike traditional methods limited to near-equilibrium processes.

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Computational Biology

Background:

  • Traditional non-equilibrium statistical physics methods like Green-Kubo relations are limited to near-equilibrium processes.
  • Inferring dynamical trajectory distributions from limited data is a significant challenge.
  • Understanding complex non-thermal systems requires advanced modeling techniques.

Purpose of the Study:

  • Introduce Maximum Caliber (Max Cal) as a general variational principle for inferring path distributions in dynamical processes.
  • Demonstrate Max Cal's applicability beyond near-equilibrium conditions.
  • Highlight Max Cal's utility in diverse scientific applications.

Main Methods:

  • Formulating Max Cal as a principle that maximizes path entropy subject to dynamical constraints.
  • Applying Max Cal to predict relative path weights in dynamical networks.
  • Utilizing Max Cal for inference from limited trajectory data.

Main Results:

  • Max Cal provides a unified framework for inferring trajectory distributions.
  • The principle successfully derives established near-equilibrium results (e.g., Green-Kubo, Onsager relations).
  • Max Cal is shown to be effective for systems far from equilibrium.

Conclusions:

  • Maximum Caliber is a powerful and generalizable tool for analyzing dynamical processes.
  • Its applications range from molecular simulations to complex biological networks.
  • Max Cal offers a robust approach for modeling non-equilibrium systems and inferring trajectory properties.