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Resolution of the ellipsoid paradox in thermodynamics.

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Title: Resolution of the ellipsoid paradox in thermodynamics.
Authors: Yoder, Theodore J.1, Adkins, Gregory S.1 gadkins@fandm.edu
Source: American Journal of Physics. Aug2011, Vol. 79 Issue 8, p811-818. 8p.
Subjects: Second law of thermodynamics, Ellipsoids, Paradox, Bioenergetics, Energy transfer
Abstract: We discuss a challenge to the second law of thermodynamics in an optical setting, in which two black bodies at strategically chosen points inside a perfectly reflecting cavity of appropriate shape apparently transfer energy asymmetrically so that one body experiences a net gain of energy at the other's expense. We show how the finite sizes of the black bodies lead to a resolution of the apparent paradox. We describe a simulation that allows us to follow the paths of individual rays and show numerically that the second law requirement of energy balance is satisfied. We also demonstrate that the energy balance condition is satisfied in the more general situation where the cavity and black bodies are of arbitrary shape. [ABSTRACT FROM AUTHOR]
Copyright of American Journal of Physics is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
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PubType: Academic Journal
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  Data: Resolution of the ellipsoid paradox in thermodynamics.
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  Data: <searchLink fieldCode="AR" term="%22Yoder%2C+Theodore+J%2E%22">Yoder, Theodore J.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Adkins%2C+Gregory+S%2E%22">Adkins, Gregory S.</searchLink><relatesTo>1</relatesTo><i> gadkins@fandm.edu</i>
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  Data: We discuss a challenge to the second law of thermodynamics in an optical setting, in which two black bodies at strategically chosen points inside a perfectly reflecting cavity of appropriate shape apparently transfer energy asymmetrically so that one body experiences a net gain of energy at the other's expense. We show how the finite sizes of the black bodies lead to a resolution of the apparent paradox. We describe a simulation that allows us to follow the paths of individual rays and show numerically that the second law requirement of energy balance is satisfied. We also demonstrate that the energy balance condition is satisfied in the more general situation where the cavity and black bodies are of arbitrary shape. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of American Journal of Physics is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Type: general
      – SubjectFull: Ellipsoids
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      – SubjectFull: Paradox
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      – SubjectFull: Bioenergetics
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      – SubjectFull: Energy transfer
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