Geometric description of chemical reactions

@article{Quevedo2013GeometricDO,
  title={Geometric description of chemical reactions},
  author={Hernando Quevedo and Diego Tapias},
  journal={Journal of Mathematical Chemistry},
  year={2013},
  volume={52},
  pages={141-161}
}
We use the formalism of Geometrothermodynamics to describe chemical reactions in the context of equilibrium thermodynamics. Any chemical reaction in a closed system is shown to be described by a geodesic in a 2-dimensional manifold that can be interpreted as the equilibrium space of the reaction. We first show this in the particular cases of a reaction with only two species corresponding to either two ideal gases or two van der Waals gases. We then consider the case of a reaction with an… 

Dark energy from geometrothermodynamics

We investigate a general class of equations of state reproducing the dark energy effects in terms of geometric considerations on thermodynamic interaction. We infer cosmological solutions by

Information-geometric structure for chemical thermodynamics: An explicit construction of dual affine coordinates.

We construct an information-geometric structure for chemical thermodynamics, applicable to a wide range of chemical reaction systems including nonideal and open systems. For this purpose, we

Potential-based analysis of closed reacting systems 1

This paper studies the properties of closed reacting systems described by massaction kinetics. Following recent developments in potential-driven kinetic representations and stability analysis of

Geometrothermodynamics of Myers-Perry Black Holes

We consider the thermodynamics and geometrothermodynamics of the Myers-Perry black holes in five dimensions for three different cases, depending on the values of the angular momenta. We follow Davies

Extensions of modified Chaplygin gas from Geometrothermodynamics

We derive modified classes of Chaplygin gas by using the formalism of Geometrothermodynamics. In particular, our strategy gives us extended versions of Chaplygin gas, providing a novel thermodynamic

Statistical origin of Legendre invariant metrics

2 5 N ov 2 01 8 Statistical origin of Legendre invariant metrics

Legendre invariant metrics have been introduced in Geometrothermodynamics to take into account the important fact that the thermodynamic properties of physical systems do not depend on the choice of

References

SHOWING 1-10 OF 19 REFERENCES

A geometric approach to the thermodynamics of the van der Waals system

We investigate the geometric properties of the equilibrium manifold of a thermodynamic system determined by the van der Waals equations of state. We use the formalism of geometrothermodynamics to

Thermodynamic systems as extremal hypersurfaces

Phase transitions in geometrothermodynamics

Using the formalism of geometrothermodynamics, we investigate the geometric properties of the equilibrium manifold for diverse thermodynamic systems. Starting from Legendre invariant metrics of the

Extending the generalized Chaplygin gas model by using geometrothermodynamics

We use the formalism of geometrothermodynamics (GTD) to derive fundamental thermodynamic equations that are used to construct general relativistic cosmological models. In particular, we show that the

The conformal metric structure of Geometrothermodynamics

We present a thorough analysis on the invariance of the most widely used metrics in the Geometrothermodynamics programme. We centre our attention in the invariance of the curvature of the space of

Thermodynamics and an Introduction to Thermostatistics

GENERAL PRINCIPLES OF CLASSICAL THERMODYNAMICS. The Problem and the Postulates. The Conditions of Equilibrium. Some Formal Relationships, and Sample Systems. Reversible Processes and the Maximum Work

Fundamentals of Equilibrium and Steady-State Thermodynamics

Book Review: Modern Thermodynamics: From Heat Engines to Dissipative Structures

I Historical Roots: From Heat Engines to Cosmology 1 Basic Concepts and the Law of Gases 2 The First Law of Thermodynamics 3 The Second Law of Thermodynamics and the Arrow of Time 4 Entropy in