Preface |
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vii | |
Introduction |
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1 | (46) |
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1 | (3) |
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I.2. To the Use of Equilibrium Principle |
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4 | (1) |
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I.3. Modeling of Open and Closed Systems |
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5 | (2) |
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I.4. Ideal and Nonideal Systems |
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7 | (1) |
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I.5. Modeling of Homogeneous and Heterogeneous Systems |
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8 | (3) |
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I.6. Almost Almighty Thermodynamics |
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11 | (3) |
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I.7. Problem of Getting Maximum Knowledge from Available Information |
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14 | (3) |
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I.8. Types of Descriptions: Stationary (Where Do We Stay?), Dynamic (How Do We Run?), Geometrical (Where Do We Run?) |
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17 | (1) |
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I.9. "The Field of Battle": Balance Polyhedrons |
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18 | (1) |
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I.10. Roughness and Reliability of Thermodynamics |
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19 | (1) |
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I.11. Thermodynamically Admissible Paths |
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20 | (2) |
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I.12. Thermodynamic Functions |
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22 | (2) |
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I.13. A Thermodynamic Tree and Space of Admissible Paths |
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24 | (1) |
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I.14. From Admissibility to Feasibility |
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25 | (1) |
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I.15. Constraints Imposed by the Reaction Mechanism |
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26 | (2) |
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I.16. Constraints on Exchange |
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28 | (1) |
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I.17. Constraints on Parameters |
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29 | (1) |
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I.18. Constraints on the Regions of Process Running |
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30 | (1) |
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I.19. Stability and Sensitivity |
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31 | (2) |
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I.20. The Art of the Possible: Idealized Models of Real Systems |
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33 | (2) |
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I.21. The Art of the Possible: Methods for Calculation of Estimates |
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35 | (2) |
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I.22. Models of Extreme Concentrations |
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37 | (2) |
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I.23. Thermodynamics of Combustion |
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39 | (2) |
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I.24. Thermodynamics of the Atmosphere |
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41 | (2) |
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I.25. Thermodynamic Modeling on Graphs |
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43 | (4) |
1. Principles of Equilibrium and Extremality in Mechanics and Thermodynamics |
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47 | (55) |
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1.1. Principles of Equilibrium and Extremality in Mechanics |
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47 | (3) |
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1.2. Principles of Equilibrium and Extremality in Thermodynamics |
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50 | (6) |
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1.3. Thermodynamics and Models of Motion |
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56 | (10) |
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1.4. Partial Thermodynamic Equilibria |
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66 | (6) |
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1.5. A Thermodynamic Analysis of the Chemical Kinetics Equations |
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72 | (30) |
2. Extreme Thermodynamic Models in Terms of Mathematical Programming |
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102 | (50) |
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2.1. Brief Information from Mathematical Programming |
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102 | (7) |
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2.2. The Model of Extreme Intermediate States (MEIS) |
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109 | (12) |
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2.3. Description of Different Types of Thermodynamic Systems |
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121 | (11) |
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2.4. Mathematical Features of the Extreme Thermodynamic Models |
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132 | (9) |
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2.5. Convex Analysis of the Thermodynamics Problems |
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141 | (11) |
3. Thermodynamic Modeling on Graphs |
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152 | (37) |
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3.1. Problem Statement and History |
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152 | (3) |
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155 | (4) |
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3.3. Thermodynamic Interpretations of Hydraulic Circuit Theory |
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159 | (12) |
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3.4. Thermodynamic Interpretations of Hydraulic Circuit Theory: Heterogeneous Circuits |
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171 | (18) |
4. Methods and Algorithms of Searching for Thermodynamic Equilibria |
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189 | (24) |
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4.1. E.G. Antsiferov's General Two-Stage Technique of Searching for Extreme Concentrations |
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189 | (2) |
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4.2. Optimization of the Initial Composition of Reagents in a Chemical System by the Simplex Embedding Method |
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191 | (3) |
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4.3. Calculations of Complete and Partial Equilibria by the Affine Scaling Method |
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194 | (6) |
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4.4. Construction of Algorithms Using the Thermodynamic Tree Idea |
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200 | (8) |
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4.5. Analysis of Feasibility and Stability of Partial Equilibria |
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208 | (5) |
5. Application of Extreme Models |
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213 | (38) |
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5.1. Thermodynamics of Atmosphere |
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213 | (11) |
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5.2. Thermodynamics of Combustion |
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224 | (20) |
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244 | (7) |
Conclusion |
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251 | (2) |
Supplement |
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253 | (13) |
References |
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266 | (9) |
Name Index |
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275 | (2) |
Subject Index |
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277 | |