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E-grāmata: Small Systems and Fundamentals of Thermodynamics

(Russian Academy of Sciences, Russia)
  • Formāts: 436 pages
  • Izdošanas datums: 17-Jul-2018
  • Izdevniecība: CRC Press
  • Valoda: eng
  • ISBN-13: 9780429995392
  • Formāts - PDF+DRM
  • Cena: 57,60 €*
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Small systems are a very active area of research and development due to improved instrumentation that allows for spatial resolution in the range of sizes from one to 100 nm. In this size range, many physical and chemical properties change, which opens up new approaches to the study of substances and their practical application. This affects both traditional fields of knowledge and many other new fields including physics, chemistry, biology, etc. This book highlights new developments in statistical thermodynamics that answer the most important questions about the specifics of small systems - when one cannot apply equations or traditional thermodynamic models.

Recenzijas

"The monograph is motivated by the author's research on physical chemistry and physics of surface phenomena, with emphasis on the thermodynamic description of small systems (a concept ranging down to nanostructures)...The Yang-Lee theory is comparatively discussed in the context of the Kelvin equation. The conclusion provides a concise summary of all hitherto established limitations of the macroscopic statistical thermodynamics equations in the description of small systems, while not diminishing an important role of the thermodynamics proper in the organization of the experiment and its interpretation. The book is not addressed to a mathematically oriented audience..."

- Piotr Garbaczewski (Opole). Zentralblatt MATH 1406

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