ABSTRACT

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.

chapter 1|6 pages

Small systems

chapter 2|4 pages

Thermodynamic parameters of the state

chapter 3|2 pages

Thermodynamic processes

chapter 5|6 pages

The Laws of Thermodynamics

chapter 6|6 pages

Interphase equilibrium

chapter 7|5 pages

The problem of the Kelvin equation

chapter 11|2 pages

Passive Gibbs forces

part 2|1 pages

Fundamentals of molecular theory

chapter 20|10 pages

Kinetic equations in dense phases

chapter 21|3 pages

Thermodynamic values of the surface layer

chapter 22|6 pages

The planar interface of macroscopic phases

chapter 25|5 pages

Properties of equilibrium drops [45]

chapter 26|4 pages

Three characteristic drop size scales [46]

chapter 27|5 pages

Criterion for the minimum phase size

chapter 28|5 pages

Equilibrium drops and phase rule

chapter 29|3 pages

Small system fluctuations

chapter 30|8 pages

The discreteness of matter

chapter 31|12 pages

An ideal system, one component [15]

chapter 32|10 pages

An ideal system, two components [15]

chapter 33|7 pages

Non-ideal systems

chapter 35|12 pages

Micro-non-uniform systems

chapter 36|11 pages

Relaxation times

chapter 37|5 pages

Motions in three aggregate states

chapter 39|2 pages

The hierarchy of Bogolyubov times

chapter 40|5 pages

The criterion for local equilibrium

chapter 42|5 pages

Relaxation times and passive forces

chapter 43|5 pages

Non-equilibrium thermodynamic functions

chapter 44|4 pages

Non-equilibrium surface tension

chapter 45|5 pages

Relaxation of the interface

part 6|1 pages

Elementary stages of the evolution of the system

chapter 48|2 pages

The rate of elementary stages

chapter 49|4 pages

One-site processes

chapter 51|6 pages

Two-site processes

chapter 53|3 pages

Correlation effects in stage velocities

chapter 55|3 pages

Non-ideal non-uniform systems

chapter 58|3 pages

Small systems by J.W. Gibbs

chapter 61|6 pages

Quasi-thermodynamics

chapter 63|5 pages

Metastable states