Submanifolds in the thermodynamic phase space

Reports on Mathematical Physics ◽

10.1016/0034-4877(85)90059-x ◽

1985 ◽

Vol 21 (2) ◽

pp. 197-203 ◽

Author(s):

R. Mrugała

Keyword(s):

Phase Space ◽

Thermodynamic Phase

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An extension of Hamiltonian systems to the thermodynamic phase space: Towards a geometry of nonreversible processes

Reports on Mathematical Physics ◽

10.1016/s0034-4877(07)00024-9 ◽

2007 ◽

Vol 60 (2) ◽

pp. 175-198 ◽

Author(s):

D. Eberard ◽

B.M. Maschke ◽

A.J. van der Schaft

Keyword(s):

Phase Space ◽

Hamiltonian Systems ◽

Thermodynamic Phase

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Metric Thermodynamic Phase Space and Stability Problems

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2016.10.753 ◽

2016 ◽

Vol 49 (24) ◽

pp. 52-57

Author(s):

Nicolas Hudon ◽

Martin Guay ◽

Denis Dochain

Keyword(s):

Phase Space ◽

Stability Problems ◽

Thermodynamic Phase

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Reparametrizations and metric structures in thermodynamic phase space

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2020.125464 ◽

2021 ◽

Vol 563 ◽

pp. 125464

Author(s):

V. Pineda-Reyes ◽

L.F. Escamilla-Herrera ◽

C. Gruber ◽

F. Nettel ◽

H. Quevedo

Keyword(s):

Phase Space ◽

Metric Structures ◽

Thermodynamic Phase

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Representation of irreversible systems in a metric thermodynamic phase space∗∗The research presented in this paper was supported by the Bel- gian Interuniversity Attraction Poles Phase VII/19 — “Dynamical systems, control and optimization” (DYSCO) and the Belgian Fonds National de la Recherche Scientifique (FNRS).

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2015.09.110 ◽

2015 ◽

Vol 48 (8) ◽

pp. 1070-1074 ◽

Author(s):

Nicolas Hudon ◽

Denis Dochain ◽

Martin Guay

Keyword(s):

Phase Space ◽

Dynamical Systems ◽

Systems Control ◽

Thermodynamic Phase

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Canonical deformations of surfaces of equilibrium states in thermodynamic phase space

Physical Review E ◽

10.1103/physreve.62.1790 ◽

2000 ◽

Vol 62 (2) ◽

pp. 1790-1798 ◽

Author(s):

Jacek Jurkowski

Keyword(s):

Phase Space ◽

Equilibrium States ◽

Thermodynamic Phase

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Master curves for the stress tensor invariants in stationary states of static granular beds. Implications for the thermodynamic phase space

Papers in Physics ◽

10.4279/pip.030004 ◽

2011 ◽

Vol 3 (0) ◽

Author(s):

Luis Ariel Pugnaloni ◽

José Damas ◽

Iker Zuriguel ◽

Diego Maza

Keyword(s):

Phase Space ◽

Stress Tensor ◽

Stationary States ◽

Master Curves ◽

Tensor Invariants ◽

Thermodynamic Phase

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About the lift of irreversible thermodynamic systems to the Thermodynamic Phase Space

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2016.10.751 ◽

2016 ◽

Vol 49 (24) ◽

pp. 40-45 ◽

Author(s):

B. Maschke

Keyword(s):

Phase Space ◽

Irreversible Thermodynamic ◽

Thermodynamic Phase

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Walking around inaccessible regions in the thermodynamic phase space

Mysteries, puzzles, and paradoxes in quantum mechanics ◽

10.1063/1.57856 ◽

1999 ◽

Author(s):

G. F. Cerofolini

Keyword(s):

Phase Space ◽

Thermodynamic Phase

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Geometric Analysis of a System with Chemical Interactions

Entropy ◽

10.3390/e23111548 ◽

2021 ◽

Vol 23 (11) ◽

pp. 1548

Author(s):

Dmitry Gromov ◽

Alexander Toikka

Keyword(s):

Phase Space ◽

Chemical Reactions ◽

Geometric Analysis ◽

Stability Conditions ◽

Chemical Interactions ◽

Thermodynamic Phase ◽

Initial Results

In this paper, we present some initial results aimed at defining a framework for the analysis of thermodynamic systems with additional restrictions imposed on the intensive parameters. Specifically, for the case of chemical reactions, we considered the states of constant affinity that form isoffine submanifolds of the thermodynamic phase space. Wer discuss the problem of extending the previously obtained stability conditions to the considered class of systems.

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A one-dimensional self-gravitating stellar gas

Symposium - International Astronomical Union ◽

10.1017/s0074180900105261 ◽

1966 ◽

Vol 25 ◽

pp. 46-48 ◽

Author(s):

M. Lecar

Keyword(s):

Gravitational Field ◽

Phase Space ◽

Motion Picture ◽

Space Distribution ◽

Two Dimensional ◽

One Dimensional ◽

Phase Space Distribution ◽

Dimensional Phase Space ◽

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

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