Statistical Mechanics of Hamiltonian Systems with Bounded Kinetic Terms

An Insight into Negative Temperature

Marco Baldovin (Autor)

Buch | Hardcover

XIII, 133 Seiten

2020 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-51169-2 (ISBN)

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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.

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.

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.

Erscheinungsdatum	22.08.2020
Reihe/Serie	Springer Theses
Zusatzinfo	XIII, 133 p. 40 illus., 38 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	395 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Bounded Kinetic Terms • Bounded Phase-Space • Generalized Langevin Equations • Hamiltonian Models • Negative Temperature • Statistical Mechanics
ISBN-10	3-030-51169-3 / 3030511693
ISBN-13	978-3-030-51169-2 / 9783030511692
Zustand	Neuware