Foreword |
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vii | |
Symbols and Abbreviations |
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xv | |
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1 | (50) |
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1 | (6) |
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2 Thermodynamic parameters of the state |
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7 | (4) |
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3 Thermodynamic processes |
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11 | (2) |
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4 Basic conditions of equilibrium thermodynamics |
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13 | (1) |
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5 The Laws of Thermodynamics |
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14 | (6) |
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20 | (6) |
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7 The problem of the Kelvin equation |
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26 | (5) |
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8 Fundamentals of non-equilibrium thermodynamics |
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31 | (2) |
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9 Equations of non-equilibrium thermodynamics |
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33 | (4) |
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10 Self-consistency of equilibrium and dynamics |
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37 | (4) |
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41 | (2) |
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12 Necessity of taking into account relaxation times |
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43 | (8) |
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2 Fundamentals of molecular theory |
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51 | (44) |
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13 Microscopic states of molecules and their description |
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52 | (1) |
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14 Continuous functions of molecular distributions |
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53 | (3) |
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15 Equations on the continuous functions of distributions |
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56 | (2) |
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16 Discrete functions of molecular distributions |
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58 | (10) |
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17 Functions of molecular distributions in a discrete-continual description |
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68 | (8) |
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18 Connection between thermodynamic functions and correlation functions |
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76 | (6) |
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19 Fundamentals of the calculation of non-equilibrium functions of molecular distributions |
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82 | (3) |
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20 Kinetic equations in dense phases |
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85 | (10) |
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3 Phase separation boundary |
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95 | (48) |
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21 Thermodynamic values of the surface layer |
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95 | (3) |
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22 The planar interface of macroscopic phases |
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98 | (6) |
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23 Molecular description of a planar interface |
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104 | (8) |
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24 Molecular description of the curved interface |
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112 | (12) |
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25 Properties of equilibrium drops [ 45] |
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124 | (5) |
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26 Three characteristic drop size scales [ 46] |
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129 | (4) |
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27 Criterion for the minimum phase size |
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133 | (5) |
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28 Equilibrium drops and phase rule |
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138 | (5) |
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4 Small systems and size fluctuations |
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143 | (61) |
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29 Small system fluctuations |
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143 | (3) |
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30 The discreteness of matter |
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146 | (8) |
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31 An ideal system, one component [ 15] |
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154 | (12) |
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32 An ideal system, two components [ 15] |
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166 | (10) |
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176 | (7) |
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34 The lower limit of the applicability of thermodynamics [ 12] |
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183 | (9) |
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35 Micro-non-uniform systems |
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192 | (12) |
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5 Non-equilibrium processes |
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204 | (67) |
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204 | (11) |
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37 Motions in three aggregate states |
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215 | (5) |
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38 Equations of conservation of molecular properties |
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220 | (5) |
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39 The hierarchy of Bogolyubov times |
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225 | (2) |
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40 The criterion for local equilibrium |
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227 | (5) |
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41 Strongly non-equilibrium states and the structure of transport equations |
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232 | (3) |
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42 Relaxation times and passive forces |
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235 | (5) |
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43 Non-equilibrium thermodynamic functions |
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240 | (5) |
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44 Non-equilibrium surface tension |
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245 | (4) |
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45 Relaxation of the interface |
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249 | (5) |
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46 Influence of fluctuations on the rate of stages |
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254 | (7) |
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47 Fluctuations of rates in small non-ideal reaction systems |
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261 | (10) |
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6 Elementary stages of the evolution of the system |
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271 | (31) |
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48 The rate of elementary stages |
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272 | (2) |
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274 | (4) |
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50 Self-consistency of the rates of single-site stages with an equilibrium distribution of molecules |
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278 | (2) |
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280 | (6) |
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52 Self-consistency of the rates of two-site stages with an equilibrium distribution of molecules |
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286 | (3) |
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53 Correlation effects in stage velocities |
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289 | (3) |
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54 Accounting for the second and next neighbours (uniform systems) |
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292 | (2) |
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55 Non-ideal non-uniform systems |
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294 | (3) |
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56 The velocity of thermal motion of molecules |
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297 | (5) |
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7 Analysis of thermodynamic interpretations |
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302 | (52) |
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57 The Yang-Lee theory and the Kelvin equation |
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302 | (4) |
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58 Small systems by J.W. Gibbs |
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306 | (3) |
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59 Molecular theory of metastable spherical drops |
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309 | (7) |
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60 Comparison of the properties of equilibrium and metastable drops |
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316 | (7) |
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323 | (6) |
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62 Relaxation times of metastable drops to equilibrium states |
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329 | (5) |
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334 | (5) |
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64 Incorrect use of the coefficient of activity in kinetics |
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339 | (15) |
Conclusion |
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354 | (7) |
Appendix 1 Metastable drops |
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361 | (17) |
Appendix 2 Transfer equations and dissipative coefficients |
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378 | (18) |
Appendix 3 Coefficients of activity in associated solutions |
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396 | (14) |
Index |
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410 | |