[Submitted on 24 Apr 2026 ( v1 ), last revised 24 Sep 2026 (this version, v2)] Title:A variational formulation of stochastic thermodynamics: Spatially extended systems View a PDF of the paper titled A variational formulation of stochastic thermodynamics: Spatially extended systems, by H\'ector Vaquero del Pino and 3 other authors View PDF HTML (experimental) Abstract:Stochastic field theories are often constructed phenomenologically, without a systematic assessment of thermodynamic...