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The role of the number of degrees of freedom and chaos in macroscopic irreversibility.

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Title: The role of the number of degrees of freedom and chaos in macroscopic irreversibility.
Authors: Cerino, L.1,2 luca.cerino@roma1.infn.it, Cecconi, F.2 fabio.cecconi@roma1.infn.it, Cencini, M.2 massimo.cencini@roma1.infn.it, Vulpiani, A.1,2 angelo.vulpiani@roma1.infn.it
Source: Physica A. Jan2016, Vol. 442, p486-497. 12p.
Subjects: Degrees of freedom, Chaos theory, Numerical analysis, Thermodynamics, Law of large numbers
Abstract: This article aims at revisiting, with the aid of simple and neat numerical examples, some of the basic features of macroscopic irreversibility, and, thus, of the mechanical foundation of the second principle of thermodynamics as drawn by Boltzmann. Emphasis will be put on the fact that, in systems characterized by a very large number of degrees of freedom, irreversibility is already manifested at a single-trajectory level for the vast majority of the far-from-equilibrium initial conditions—a property often referred to as typicality . We also discuss the importance of the interaction among the microscopic constituents of the system and the irrelevance of chaos to irreversibility, showing that the same irreversible behaviors can be observed both in chaotic and non-chaotic systems. [ABSTRACT FROM AUTHOR]
Copyright of Physica A is the property of Elsevier B.V. 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
An: 110429361
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PubTypeId: academicJournal
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  Data: <searchLink fieldCode="DE" term="%22Degrees+of+freedom%22">Degrees of freedom</searchLink><br /><searchLink fieldCode="DE" term="%22Chaos+theory%22">Chaos theory</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Thermodynamics%22">Thermodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Law+of+large+numbers%22">Law of large numbers</searchLink>
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  Data: This article aims at revisiting, with the aid of simple and neat numerical examples, some of the basic features of macroscopic irreversibility, and, thus, of the mechanical foundation of the second principle of thermodynamics as drawn by Boltzmann. Emphasis will be put on the fact that, in systems characterized by a very large number of degrees of freedom, irreversibility is already manifested at a single-trajectory level for the vast majority of the far-from-equilibrium initial conditions—a property often referred to as typicality . We also discuss the importance of the interaction among the microscopic constituents of the system and the irrelevance of chaos to irreversibility, showing that the same irreversible behaviors can be observed both in chaotic and non-chaotic systems. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Physica A is the property of Elsevier B.V. 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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        Value: 10.1016/j.physa.2015.09.036
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        Text: English
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        StartPage: 486
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        Type: general
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      – SubjectFull: Numerical analysis
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      – SubjectFull: Thermodynamics
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      – SubjectFull: Law of large numbers
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              Text: Jan2016
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