Covariant Onsager and Onsager-Machlup principles are derived for active matter with inertia, yielding geometrically consistent dynamics and path probabilities that satisfy the detailed fluctuation theorem.
Dekker, On the path integral for diffusion in curved spaces,Physica A103, 586 (1980)
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Covariant Onsager and Onsager-Machlup principles for active and inertial dynamics
Covariant Onsager and Onsager-Machlup principles are derived for active matter with inertia, yielding geometrically consistent dynamics and path probabilities that satisfy the detailed fluctuation theorem.