Generalised Complex Geometry in Thermodynamical Fluctuation Theory

George Ruppeiner; J. M. Isidro; P. Fern#xE1; ndez de C#xF3; rdoba

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Generalised Complex Geometry in Thermodynamical Fluctuation Theory

机译：热力学涨落理论中的广义复几何

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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.

机译：我们简要概述了广义复流形理论中的一些关键概念。可以说，这种新几何在辛几何和复杂几何之间进行插值。因此，它为分析存在重力场的热力学涨落理论提供了理想的框架。为了说明广义复杂几何的有用性，我们研究了Unruh效应的简化形式：重力场对Schroedinger波函数的热化效应。

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《Entropy》 |2015年第8期|共15页
作者
George Ruppeiner; J. M. Isidro; P. Fern#xE1; ndez de C#xF3; rdoba;
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中图分类生理学;
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Generalised Complex Geometry in Thermodynamical Fluctuation Theory

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