Statistical Mechanics of Hamiltonian Systems with Bounded Kinetic Terms : An Insight into Negative Temperature
2020 ed.
Book Details
Format
Paperback / Softback
Book Series
Springer Theses
ISBN-10
3030511723
ISBN-13
9783030511722
Edition
2020 ed.
Publisher
Springer Nature Switzerland AG
Imprint
Springer Nature Switzerland AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Aug 21st, 2021
Print length
133 Pages
Weight
242 grams
Dimensions
23.40 x 15.50 x 1.30 cms
Product Classification:
Mathematical / Computational / Theoretical physicsMathematical physics
Ksh 16,200.00
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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.
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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