Início
Agenda 

 06 de maio de 2015
16h30 Sala
Celeste 

Christine Gruber

University of
Oldenburg, Germany


The
geometrisation of thermodynamics with contact geometry
I
aim at developing a geometrical formulation of thermodynamics by
employing contact geometry and associated notions. A geometric
formulation of thermodynamics is of interest for several
reasons. Firstly, geometry serves as a language in which every
physical theory can be formulated, it provides geometric tools
and notions which can be employed to infer new principles and
ideas, and in general promotes mathematical beauty in physics.
Secondly, a geometrisation of thermodynamical theories would
help to systemize and unify the phenomenologically orientated
formulations and derivations of thermodynamical phenomena and
potentially be of great use in the description of
nonequilibrium scenarios. And finally, due to the fundamental
connection of the laws of black hole thermodynamics with their
geometry, there is the hope that a geometric theory of
thermodynamics could lead to new insights into black hole
thermodynamics and the physical laws governing the physics of
black holes.


After an introduction into the mathematics of the
subject, I will introduce possible applications of contact
geometry and its formulation of thermodynamics in
nonequilibrium systems and black holes, respectively.





