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Statistical Mechanics of Hamiltonian Systems with Bounded Kinetic Terms: An Insight into Negative Temperature de Marco Baldovin

Statistical Mechanics of Hamiltonian Systems with Bounded Kinetic Terms: An Insight into Negative Temperature: Springer Theses

Autor Marco Baldovin
en Limba Engleză Paperback – 21 aug 2021
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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Specificații

ISBN-13: 9783030511722
ISBN-10: 3030511723
Ilustrații: XIII, 133 p. 40 illus., 38 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.22 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seria Springer Theses

Locul publicării:Cham, Switzerland

Cuprins

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.

Notă biografică

Marco Baldovin is a postdoctoral researcher at the University of Rome “Sapienza”, Department of Physics. His research activity ranges from statistical mechanics to complex systems and stochastic processes. During his Ph.D. he worked on the statistical mechanics aspects of “negative absolute temperatures”, showing that these fascinating physical states can be understood with the usual tools of statistical mechanics. This systematic analysis has been the subject of several papers and talks in international conferences.

Textul de pe ultima copertă

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.  

Caracteristici

Nominated as an outstanding Ph.D. thesis by the Università “Sapienza”, Roma, Italy An exhaustive introductive chapter makes the topics accessible also to non-experts Makes a valuable contribution to illuminating a controversial field