Unpublished conference/Abstract (Scientific congresses, symposiums and conference proceedings)
Of dice and men. Subjective priors, gauge invariance, and nonequilibrium thermodynamics
Polettini, Matteo
201312th Joint European Thermodynamics Conference, JETC 2013


Full Text
Author preprint (153.93 kB)

All documents in ORBilu are protected by a user license.

Send to


Abstract :
[en] "Ceci n'est pas une pipe" wrote Ren\'e Magritte on what was only the representation of a pipe. Phenomena and their physical descriptions differ, and in particular the laws ruling the former might enjoy symmetries that have to be spent to attain the latter. So, inertial frames are necessary to draw numbers out of Newtonian mechanics and confront with experiment, but ultimately the laws of mechanics are independent of reference frames. Generalizing work done in Ref. [M. Polettini, EPL 97 (2012) 30003] to continuous systems, we discuss from a foundational point of view how subjectivity in the choice of reference prior probability is a (gauge) symmetry of thermodynamics. In particular, a change of priors corresponds to a change of coordinates. Employing an approach based on the stochastic thermodynamics of continuous state-space diffusion processes, we discuss the difference between thermostatic and thermodynamic observables and show that, while the quantification of entropy depends on priors, the second law of thermodynamics is formulated in terms of invariant quantities, in particular the curvature of the thermodynamic force (gauge potential), which we calculate in a few examples of processes led by different nonequilibrium mechanisms.
Disciplines :
Author, co-author :
Polettini, Matteo ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Language :
Title :
Of dice and men. Subjective priors, gauge invariance, and nonequilibrium thermodynamics
Publication date :
July 2013
Event name :
12th Joint European Thermodynamics Conference, JETC 2013
Event organizer :
University of Brescia
Event place :
Brescia, Italy
Event date :
July 1-5, 2013
Audience :
Available on ORBilu :
since 11 November 2013


Number of views
134 (2 by Unilu)
Number of downloads
100 (0 by Unilu)


Similar publications

Contact ORBilu