It has been shown that contact geometry is the proper framework underlying classical
thermodynamics and that thermodynamic fluctuations are captured by an additional metric …

We use the Legendre-invariant formalism of geometrothermodynamics to investigate the
geometric properties of the equilibrium space of a spherically symmetric phantom black hole …

We analyze in the context of geometrothermodynamics a Legendre invariant metric structure
in the equilibrium space of an ideal gas. We introduce the concept of thermodynamic …

In this work we show that a Legendre transformation is nothing but a mere change of contact
polarization from the point of view of contact geometry. Then, we construct a set of …

In geometrothermodynamics (GTD), to study the geometric properties of the equilibrium
space, three thermodynamic metrics have been proposed so far. These metrics are obtained …

In this work, we show that the orthogonality between rays and fronts of light propagation in a
medium is expressed in terms of a suitable metric contact structure of the optical medium …

The Hamiltonian theory of thermodynamics for reversible and irreversible processes is
presented in detail. Particularly, it is demonstrated that non-linear molecular dynamics and …

A generalized entropy arising in the context of superstatistics is applied to an ideal gas. The
curvature scalar associated to the thermodynamic space generated by this modified entropy …

In this work, we use the geometric equivalence between Fermat's and Huygens' principles to
show that the kinematics of light propagation in a non-dispersive medium associated with a …

A recently developed theory for formulating chemical kinetics with a Hamiltonian theory
similar to classical mechanics is applied to study linear and nonlinear kinetic models for the …