In this work the curvature of Weinhold (thermodynamical) metric is studied in the case of systems with two thermodynamical degrees of freedom. Conditions for the Gauss curvature R to be zero, positive or negative are worked out. Signature change of the Weinhold metric and the corresponding singular behavior of the curvature at the phase boundaries are studied. Cases of systems with the constant Cv, including Ideal and Van der Waals gases, and that of Berthelot gas are discussed in detail
The Hessian of the entropy function can be thought of as a metric tensor on state space. In the con...
AbstractClassical or Newtonian Mechanics is put in the setting of Riemannian Geometry as a simple me...
AbstractWe investigate the intrinsic and extrinsic curvatures of a certain hypersurface in thermodyn...
The geometry of thermodynamic state space is studied for asymptotically anti–de Sitter black holes i...
We describe how several metrics are possible in thermodynamic state space but that only one, Weinhol...
This paper describes a Riemannian geometry of thermodynamics with a metric based on thermodynamic fl...
We present the fundamentals of geometrothermodynamics, an approach for studying the properties of th...
In this work, we show that the thermodynamic phase space is naturally endowed with a non-integrable ...
The geometry of thermodynamic state space is studied for asymptotically anti-de Sitter black holes ...
Abstract. Thermodynamics unavoidably contains fluctuation theory, expressible in terms of a unique t...
In this thesis we aim to develop new perspectives on the statistical mechanics of black holes using ...
Motivated by the energy representation of Riemannian metric, in this paper we study different approa...
The thermodynamic behaviors of a system living in a curved space-time are different from those of a ...
We apply variational principles in the context of geometrothermodynamics. The thermodynamic phase sp...
AbstractContact Riemannian geometry is used to study equilibrium thermodynamical systems as embedded...
The Hessian of the entropy function can be thought of as a metric tensor on state space. In the con...
AbstractClassical or Newtonian Mechanics is put in the setting of Riemannian Geometry as a simple me...
AbstractWe investigate the intrinsic and extrinsic curvatures of a certain hypersurface in thermodyn...
The geometry of thermodynamic state space is studied for asymptotically anti–de Sitter black holes i...
We describe how several metrics are possible in thermodynamic state space but that only one, Weinhol...
This paper describes a Riemannian geometry of thermodynamics with a metric based on thermodynamic fl...
We present the fundamentals of geometrothermodynamics, an approach for studying the properties of th...
In this work, we show that the thermodynamic phase space is naturally endowed with a non-integrable ...
The geometry of thermodynamic state space is studied for asymptotically anti-de Sitter black holes ...
Abstract. Thermodynamics unavoidably contains fluctuation theory, expressible in terms of a unique t...
In this thesis we aim to develop new perspectives on the statistical mechanics of black holes using ...
Motivated by the energy representation of Riemannian metric, in this paper we study different approa...
The thermodynamic behaviors of a system living in a curved space-time are different from those of a ...
We apply variational principles in the context of geometrothermodynamics. The thermodynamic phase sp...
AbstractContact Riemannian geometry is used to study equilibrium thermodynamical systems as embedded...
The Hessian of the entropy function can be thought of as a metric tensor on state space. In the con...
AbstractClassical or Newtonian Mechanics is put in the setting of Riemannian Geometry as a simple me...
AbstractWe investigate the intrinsic and extrinsic curvatures of a certain hypersurface in thermodyn...