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Open AccessArticle

Generalised Complex Geometry in Thermodynamical Fluctuation Theory

Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Valencia 46022, Spain
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Academic Editor: George Ruppeiner
Entropy 2015, 17(8), 5888-5902; https://doi.org/10.3390/e17085888
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)
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
MDPI and ACS Style

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

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