Information geometry of boost-agnostic statistical physics
Abstract
The information geometry associated with the Lifshitz ideal gas is studied in the boost-agnostic case (i.e., without assuming boost invariance). Families of geodesics and intrinsic and extrinsic curvatures of the associated Fisher metric are computed. The isobar, isotherm, isochor, and adiabat are recognized as geodesics at lowest order in the fluid velocity. The leading correction is computed, revealing critical behavior in certain regimes of the dynamical critical exponent, z. The intrinsic curvature diverges at T = 0, showing no finite-temperature phase transition. The zero-momentum-exchange submanifold is embedded with vanishing extrinsic curvature and the non-zero velocity submanifold with extrinsic curvature scaling as T–1.
Downloads
Published
Issue
Section
License
By submitting their manuscript to the Samahang Pisika ng Pilipinas (SPP) for consideration, the Authors warrant that their work is original, does not infringe on existing copyrights, and is not under active consideration for publication elsewhere.
Upon acceptance of their manuscript, the Authors further agree to grant SPP the non-exclusive, worldwide, and royalty-free rights to record, edit, copy, reproduce, publish, distribute, and use all or part of the manuscript for any purpose, in any media now existing or developed in the future, either individually or as part of a collection.
All other associated economic and moral rights as granted by the Intellectual Property Code of the Philippines are maintained by the Authors.
