Thermodynamics of Complex Systems: Principles and applications

PRELIMS.pdf
Preface
Author biography
Vladimir N Pokrovskii
CH001.pdf
Chapter 1 The concept of a thermodynamic system
1.1 Composition of a thermodynamic system
1.2 Fundamental variables and work
1.3 Entropy and absolute temperature
1.4 The fluxes and thermodynamic forces
1.4.1 Fluxes of heat
1.4.2 Fluxes of substances
1.5 Non-equilibrium thermodynamics
1.5.1 Internal variables
1.5.2 The problem of formulation
References
CH002.pdf
Chapter 2 The characteristic functions in non-equilibrium
2.1 The change of thermal energy
2.2 The fundamental principles
2.2.1 Law of conversion and conservation of energy
2.2.2 The arrow of time
2.2.3 Entropy and temperature
2.3 Non-equilibrium entropy
2.3.1 Entropy as a function of internal variables
2.3.2 Two components of entropy
2.4 Potential functions
2.4.1 Total internal energy
2.4.2 Free energy
2.4.3 Enthalpy
2.4.4 Gibbs free energy
2.5 Entropy as a function of state
2.6 Chemical potential
2.7 The peculiarities of thermodynamic functions
References
CH003.pdf
Chapter 3 Dynamics of internal variables
3.1 Internal variables of complexity
3.2 Preferable values of internal variables
3.3 Evolution of internal variables
References
CH004.pdf
Chapter 4 Non-equilibrium steady states
4.1 Dynamics of internal variables
4.2 Entropy near a steady state
4.3 Production of entropy
4.4 On the criterion of stability of stationary states
4.5 Relationship between fluxes and thermodynamic forces
4.5.1 Symmetry of kinetic coefficients
4.6 The simplest samples
4.6.1 Heat flux
4.6.2 Diffusion
4.6.3 The couple fluxes
References
CH005.pdf
Chapter 5 Statistical interpretation of thermodynamic characteristics
5.1 Two approaches to the thermodynamic system
5.1.1 Macroscopic description
5.1.2 Microscopic description
5.1.3 How to compare two approaches?
5.2 Introduction of statistical ensemble
5.3 Statistics of an isolated system
5.3.1 Microcanonic distribution
5.3.2 Entropy of an isolated system
5.4 Statistics of closed system
5.4.1 Canonical distribution
5.4.2 Thermodynamic characteristics
5.5 The principle of entropy maximum
5.5.1 Classical functional
5.5.2 Unconventional functionals
5.6 Concluding remarks
References
CH006.pdf
Chapter 6 Chemical transformations
6.1 Kinetics of chemical transformations
6.1.1 Description of reacting mixtures
6.1.2 Examples of elementary reactions
6.2 Thermodynamics of chemical transformations
6.2.1 Thermodynamic potential and affinity
6.2.2 Entropy of the reacting mixture
6.2.3 Example of non-equilibrium steady state
6.3 Brusselator
6.3.1 A chemical clock
6.3.2 Kinetics of brusselator
6.3.3 Thermodynamics of brusselator
6.4 The problem of self-organization
References
CH007.pdf
Chapter 7 Dynamics of complex fluids
7.1 The equation of continuity and the law of conservation of momentum
7.2 The law of conservation of energy and balance of entropy
7.3 Thermodynamic fluxes and relaxation processes
7.4 The principle of relativity for slow motions
7.5 Viscoelastic fluids
7.6 Different forms of constitutive relation
References
CH008.pdf
Chapter 8 Creation of complexity
8.1 Complexity and information
8.1.1 Index of complexity
8.1.2 Concept of information
8.2 Statistical interpretation of ideal gas
8.2.1 The phase space
8.2.2 The number of microstates of the system
8.2.3 Thermodynamic probability
8.2.4 Entropy and temperature
8.3 Does a thermodynamic system contain information?
8.4 Production of complexity
8.4.1 Elementary production cycle
8.4.2 Production of commodities
References
CH009.pdf
Chapter 9 Problems of thermodynamics of living organisms
9.1 The living organism as a thermodynamic system
9.1.1 Organism as an ensemble of chemical reactions
9.1.2 Hierarchy of internal variables
9.1.3 Complexity and entropy
9.2 The growth and development of the living organism
9.2.1 The growth equation
9.2.2 The testing of the growth equation
9.3 Some peculiarities of the living organism
9.3.1 The control and regulate system
9.3.2 Mechanism of mobility
9.4 Evolution of living matter
9.4.1 Ontogenesis and phylogenesis
9.4.2 Where is the beginning?
References
CH010.pdf
Chapter 10 Dynamics of populations
10.1 Dynamics of a separate population
10.1.1 Balance equation
10.1.2 Exponential growth
10.1.3 The logistic growth
10.1.4 Migration
10.1.5 A wave in logistic population
10.1.6 The composition of a population
10.2 Interacting populations
10.2.1 The model of competing populations
10.2.2 The predator–prey model
10.2.3 Dynamics and thermodynamics of biogeocoenosis
10.3 Peculiarities of development of human population
10.3.1 Empirics of population growth
10.3.2 The laws of growth of a human population
10.3.3 Thermodynamics of the human population
References
CH011.pdf
Chapter 11 Problems of sociodynamics
11.1 Architecture of social organization
11.2 Functional social structure
11.2.1 The status of an individual and socioconfiguration
11.2.2 Strata, domains, classes and castes
11.2.3 Groups and organizations
11.3 Dynamics of the social structure
11.3.1 Mechanism of changes of the system of values
11.3.2 Mechanism of changes of the functional structure
11.3.3 Kinetic equation
11.3.4 Rules of change of individual status
11.3.5 Mechanism of decision-making
11.3.6 Formation of collective opinion
11.4 Institute of economic activity
11.4.1 The scheme of production process
11.4.2 Problem of distribution of the social product
11.4.3 Stratification on the wealth
References
CH012.pdf
Chapter 12 Dynamics of cognition
12.1 Imperative to putting in order
12.1.1 Level of unconscious mind
12.1.2 Level of consciousness
12.1.3 Statements we believe in
12.1.4 The events
12.2 Description of the events
12.2.1 Space and time
12.2.2 Principle of self-preservation
12.2.3 The picture of our world
12.3 Mathematical modeling
12.3.1 Description tools
12.3.2 Scheme of the process of cognition
12.3.3 The system of physics models
12.4 Science as a social institution
12.4.1 Social function of science
12.4.2 About scientific method
12.4.3 Organization of scientific research
12.4.4 A career in science
References