Information geometry of boost-agnostic statistical physics

Authors

  • Kevin T. Grosvenor ⋅ PH National Institute of Physics, University of the Philippines Diliman

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.

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Article ID

SPP-2024-1H-03

Section

Theoretical and Mathematical Physics

Published

2024-06-26

How to Cite

[1]
KT Grosvenor, Information geometry of boost-agnostic statistical physics, Proceedings of the Samahang Pisika ng Pilipinas 42, SPP-2024-1H-03 (2024). URL: https://proceedings.spp-online.org/article/view/SPP-2024-1H-03.