Generalised Complex Geometry in Thermodynamical Fluctuation Theory

Entropy

P. Fernández de Córdoba²  J. M. Isidro¹ 

[1] Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Valencia 46022, Spain; E-Mail

关键词: differential-geometric techniques;    fluctuation theory;    Unruh effect;   

DOI  :  10.3390/e17085888

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.