29 citations · 203 across the 30 of their papers we have counts for
5 papers · 1 filter
A Discrete Hamilton--Jacobi Theory for Contact Hamiltonian Dynamics
Oğul Esen, Cristina Sardón, Marcin Zajac
In this paper, we propose a discrete Hamilton--Jacobi theory for (discrete) Hamiltonian dynamics defined on a (discrete) contact manifold. To this end, we first provide a novel geo…
On Locally Conformally Cosymplectic Hamiltonian Dynamics and Hamilton-Jacobi Theory
Begüm Ateşli, Oğul Esen, Manuel de León +1
Cosymplectic geometry has been proven to be a very useful geometric background to describe time-dependent Hamiltonian dynamics. In this work, we address the globalization problem o…
On the role of geometry in statistical mechanics and thermodynamics II: Thermodynamic perspective
Ogul Esen, Miroslav Grmela, Michal Pavelka
The General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) provides structure of mesoscopic multiscale dynamics that guarantees emergence of equilibrium st…
On the role of geometry in statistical mechanics and thermodynamics I: Geometric perspective
Ogul Esen, Miroslav Grmela, Michal Pavelka
This paper contains a fully geometric formulation of the General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC). Although GENERIC, which is the sum of Hami…
Reviewing the Geometric Hamilton-Jacobi Theory concerning Jacobi and Leibniz identities
O. Esen, M. de León, M. Lainz +2
In this survey, we review the classical Hamilton Jacobi theory from a geometric point of view in different geometric backgrounds. We propose a Hamilton Jacobi equation for differen…