scholarly journals Geometric Analysis of a System with Chemical Interactions

Entropy ◽  
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.

scholarly journals Laser Control of Chemical Reactions by Phase Space Structures

2012 ◽  
Vol 85 (8) ◽  
pp. 854-861 ◽  
Author(s):  
Shinnosuke Kawai ◽  
Tamiki Komatsuzaki
Keyword(s):  
Phase Space ◽  
Chemical Reactions ◽  
Space Structures ◽  
Laser Control

scholarly journals Metric Thermodynamic Phase Space and Stability Problems

2016 ◽  
Vol 49 (24) ◽  
pp. 52-57
Author(s):  
Nicolas Hudon ◽  
Martin Guay ◽  
Denis Dochain
Keyword(s):  
Phase Space ◽  
Stability Problems ◽  
Thermodynamic Phase

scholarly journals Reparametrizations and metric structures in thermodynamic phase space

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

scholarly journals The Second Law Of Thermodynamics as a Force Law

2018 ◽  
Author(s):  
Jürgen Schlitter
Keyword(s):  
Phase Space ◽  
Statistical Mechanics ◽  
Chemical Reactions ◽  
Driving Force ◽  
Second Law Of Thermodynamics ◽  
Second Law ◽  
Constant Energy ◽  
Wide Range

The second law of thermodynamics states the increase of entropy, ΔS > 0, for real processes from state A to state B at constant energy from chemistry over biological life and engines to cosmic events. The connection of entropy to information, phase-space and heat is helpful, but does not immediately convince observers of the validity and basis of the second law. This gave grounds for finding a rigorous, but more easily acceptable reformulation. Here we show using statistical mechanics that this principle is equivalent to a force law ⟨⟨f⟩⟩> 0 in systems where mass centres and forces can be identified. The sign of this net force - the average mean force along a path from A to B - determines the direction of the process. The force law applies to a wide range of processes from machines to chemical reactions. The explanation of irreversibility by a driving force appears more plausible than the traditional formulation as it emphasizes the cause instead of the effect of motions.

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