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Titlebook: Statistical Mechanics of Hamiltonian Systems with Bounded Kinetic Terms; An Insight into Nega Marco Baldovin Book 2020 The Editor(s) (if ap

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书目名称Statistical Mechanics of Hamiltonian Systems with Bounded Kinetic Terms
副标题An Insight into Nega
编辑Marco Baldovin
视频videohttp://file.papertrans.cn/877/876493/876493.mp4
概述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 i
丛书名称Springer Theses
图书封面Titlebook: Statistical Mechanics of Hamiltonian Systems with Bounded Kinetic Terms; An Insight into Nega Marco Baldovin Book 2020 The Editor(s) (if ap
描述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.  .
出版日期Book 2020
关键词Statistical Mechanics; Negative Temperature; Bounded Kinetic Terms; Bounded Phase-Space; Hamiltonian Mod
版次1
doihttps://doi.org/10.1007/978-3-030-51170-8
isbn_softcover978-3-030-51172-2
isbn_ebook978-3-030-51170-8Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Conclusions,this Thesis we tried to show that NAT states naturally emerge in models with suitable properties, and they must be taken into account to get a full description of the thermostatistical properties of such systems.
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Introduction,ory to explain the thermodynamic properties of gaseous systems, Statistical Mechanics has developed in many directions. Methods originally introduced in the context of kinetic theory, and successfully employed to the theoretical description of empirically known laws of Thermodynamics, are now applie
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Background and Motivation,tems, characterized by a bound on the available phase space. Several experimental evidences seem to suggest that NATs have to be taken into account in order to properly describe equilibrium properties of such systems. Nonetheless, in recent years a stimulating debate, still ongoing, on the nature of
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Langevin Equation (Also) at Negative Temperature,tions. Our aim is to understand whether it is possible to define a Langevin Equation (LE) also for systems with non-quadratic kinetic energy, and in particular for the Hamiltonian models introduced in the previous Chapter. We will see that stochastic coarse-grained descriptions of the dynamics hold
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Conclusions, energy is incremented. Nonetheless, a certain feeling of skepticism persists among many physicists when equilibrium states with . are considered. In this Thesis we tried to show that NAT states naturally emerge in models with suitable properties, and they must be taken into account to get a full de
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