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Statistical mechanics of Hamiltonian...

Baldovin, Marco.

Statistical mechanics of Hamiltonian systems with bounded kinetic termsan insight into negative temperature /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Statistical mechanics of Hamiltonian systems with bounded kinetic termsby Marco Baldovin.
Reminder of title:	an insight into negative temperature /
Author:	Baldovin, Marco.
Published:	Cham :Springer International Publishing :2020.
Description:	xiii, 133 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Hamiltonian systems.
Online resource:	https://doi.org/10.1007/978-3-030-51170-8
ISBN:	9783030511708$q(electronic bk.)

Statistical mechanics of Hamiltonian systems with bounded kinetic termsan insight into negative temperature /
Baldovin, Marco.

Statistical mechanics of Hamiltonian systems with bounded kinetic termsan insight into negative temperature /[electronic resource] :by Marco Baldovin. - Cham :Springer International Publishing :2020. - xiii, 133 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

Introduction -- Background and Motivation -- Systems with Bounded Phase Spaces: Equilibrium Properties -- Langevin Equation (also) at Negative Temperature -- Negative Temperature Out of Equilibrium -- Computational and Technical Aspects -- Conclusions.

Recent experimental evidence about the possibility of "absolute negative temperature" states in physical systems has triggered a stimulating debate about the consistency of such a concept from the point of view of Statistical Mechanics. It is not clear whether the usual results of this field can be safely extended to negative-temperature states; some authors even propose fundamental modifications to the Statistical Mechanics formalism, starting with the very definition of entropy, in order to avoid the occurrence of negative values of the temperature tout-court. The research presented in this thesis aims to shed some light on this controversial topic. To this end, a particular class of Hamiltonian systems with bounded kinetic terms, which can assume negative temperature, is extensively studied, both analytically and numerically. Equilibrium and out-of-equilibrium properties of this kind of system are investigated, reinforcing the overall picture that the introduction of negative temperature does not lead to any contradiction or paradox.

ISBN: 9783030511708$q(electronic bk.)

Standard No.: 10.1007/978-3-030-51170-8doiSubjects--Topical Terms:

207807
Hamiltonian systems.

LC Class. No.: QC174.85.H35 / B35 2020

Dewey Class. No.: 530.13

Statistical mechanics of Hamiltonian systems with bounded kinetic termsan insight into negative temperature /
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245 1 0 $a Statistical mechanics of Hamiltonian systems with bounded kinetic terms $h [electronic resource] : $b an insight into negative temperature / $c by Marco Baldovin.
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300 $a xiii, 133 p. : $b ill., digital ; $c 24 cm.
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505 0 $a Introduction -- Background and Motivation -- Systems with Bounded Phase Spaces: Equilibrium Properties -- Langevin Equation (also) at Negative Temperature -- Negative Temperature Out of Equilibrium -- Computational and Technical Aspects -- Conclusions.
520 $a Recent experimental evidence about the possibility of "absolute negative temperature" states in physical systems has triggered a stimulating debate about the consistency of such a concept from the point of view of Statistical Mechanics. It is not clear whether the usual results of this field can be safely extended to negative-temperature states; some authors even propose fundamental modifications to the Statistical Mechanics formalism, starting with the very definition of entropy, in order to avoid the occurrence of negative values of the temperature tout-court. The research presented in this thesis aims to shed some light on this controversial topic. To this end, a particular class of Hamiltonian systems with bounded kinetic terms, which can assume negative temperature, is extensively studied, both analytically and numerically. Equilibrium and out-of-equilibrium properties of this kind of system are investigated, reinforcing the overall picture that the introduction of negative temperature does not lead to any contradiction or paradox.
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