Thermodynamic holography

The holographic principle states that the information about a volume of a system is encoded on the boundary surface of the volume. Holography appears in many branches of physics, such as optics, electromagnetism, many-body physics, quantum gravity, and string theory. Here we show that holography is...

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Main Authors: Wei, Bo-Bo, Jiang, Zhan-Feng, Liu, Ren-Bao
Format: Online
Language:English
Published: Nature Publishing Group 2015
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4609982/
id pubmed-4609982
recordtype oai_dc
spelling pubmed-46099822015-10-29 Thermodynamic holography Wei, Bo-Bo Jiang, Zhan-Feng Liu, Ren-Bao Article The holographic principle states that the information about a volume of a system is encoded on the boundary surface of the volume. Holography appears in many branches of physics, such as optics, electromagnetism, many-body physics, quantum gravity, and string theory. Here we show that holography is also an underlying principle in thermodynamics, a most important foundation of physics. The thermodynamics of a system is fully determined by its partition function. We prove that the partition function of a finite but arbitrarily large system is an analytic function on the complex plane of physical parameters, and therefore the partition function in a region on the complex plane is uniquely determined by its values along the boundary. The thermodynamic holography has applications in studying thermodynamics of nano-scale systems (such as molecule engines, nano-generators and macromolecules) and provides a new approach to many-body physics. Nature Publishing Group 2015-10-19 /pmc/articles/PMC4609982/ /pubmed/26478214 http://dx.doi.org/10.1038/srep15077 Text en Copyright © 2015, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
repository_type Open Access Journal
institution_category Foreign Institution
institution US National Center for Biotechnology Information
building NCBI PubMed
collection Online Access
language English
format Online
author Wei, Bo-Bo
Jiang, Zhan-Feng
Liu, Ren-Bao
spellingShingle Wei, Bo-Bo
Jiang, Zhan-Feng
Liu, Ren-Bao
Thermodynamic holography
author_facet Wei, Bo-Bo
Jiang, Zhan-Feng
Liu, Ren-Bao
author_sort Wei, Bo-Bo
title Thermodynamic holography
title_short Thermodynamic holography
title_full Thermodynamic holography
title_fullStr Thermodynamic holography
title_full_unstemmed Thermodynamic holography
title_sort thermodynamic holography
description The holographic principle states that the information about a volume of a system is encoded on the boundary surface of the volume. Holography appears in many branches of physics, such as optics, electromagnetism, many-body physics, quantum gravity, and string theory. Here we show that holography is also an underlying principle in thermodynamics, a most important foundation of physics. The thermodynamics of a system is fully determined by its partition function. We prove that the partition function of a finite but arbitrarily large system is an analytic function on the complex plane of physical parameters, and therefore the partition function in a region on the complex plane is uniquely determined by its values along the boundary. The thermodynamic holography has applications in studying thermodynamics of nano-scale systems (such as molecule engines, nano-generators and macromolecules) and provides a new approach to many-body physics.
publisher Nature Publishing Group
publishDate 2015
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4609982/
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