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Statistical Mechanics of Hamiltonian Systems with Bounded Kinetic Terms - An Insight into Negative Temperature (Hardcover, 1st ed. 2020)
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Statistical Mechanics of Hamiltonian Systems with Bounded Kinetic Terms - An Insight into Negative Temperature (Hardcover, 1st ed. 2020)
Series: Springer Theses
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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.
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