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Entropy 2015, 17(8), 5888-5902;

Generalised Complex Geometry in Thermodynamical Fluctuation Theory

Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Valencia 46022, Spain
Author to whom correspondence should be addressed.
Academic Editor: George Ruppeiner
Received: 29 May 2015 / Revised: 17 August 2015 / Accepted: 19 August 2015 / Published: 20 August 2015
(This article belongs to the Special Issue Geometry in Thermodynamics)
PDF [221 KB, uploaded 20 August 2015]


We present a brief overview of some key concepts in the theory of generalized complex manifolds. This new geometry interpolates, so to speak, between symplectic geometry and complex geometry. As such it provides an ideal framework to analyze thermodynamical fluctuation theory in the presence of gravitational fields. To illustrate the usefulness of generalized complex geometry, we examine a simplified version of the Unruh effect: the thermalising effect of gravitational fields on the Schroedinger wavefunction. View Full-Text
Keywords: differential-geometric techniques; fluctuation theory; Unruh effect differential-geometric techniques; fluctuation theory; Unruh effect
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Fernández de Córdoba, P.; Isidro, J.M. Generalised Complex Geometry in Thermodynamical Fluctuation Theory. Entropy 2015, 17, 5888-5902.

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