Registered Data

[02430] Hessian geometric derivation of macroscopic thermodynamic uncertainty relations (TUR)

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @D404
  • Type : Contributed Talk
  • Abstract : The recently developed Hessian geometry of force and flux spaces in chemical reaction networks provides a geometric derivation of TUR. The relations are obtained from a comparison of two Riemannian metric tensors - one characterizes the pseudo entropy production and the other the current fluctuations. This geometry yields a characterization of the error term as the norm of a linear subspace component of the flux vector and thus characterizes the fluxes where TUR become equalities.
  • Classification : 82Cxx, 53Zxx, 80Axx
  • Format : Talk at Waseda University
  • Author(s) :
    • Dimitri Loutchko (The University of Tokyo)
    • Tetsuya J Kobayashi (The University of Tokyo)