Principles of statistical physics and numerical modeling
Statistical physics Molecular dynamics
IOP Publishing
2018
EISBN 9780750313414
1. Phase space.
2. Evolution of the phase space distribution function.
3. Equilibrium distributions.
4. Ensemble of free particles.
5. Ensemble of interacting particles.
6. Temperature.
7. Pressure, stress and tension.
8. Entropy.
9. Gibbs distribution.
10. Isothermal ensemble.
11. Free energy.
12. Grand canonical ensemble.
13. Isobaric ensembles.
14. Thermodynamic potentials.
15. Finite ensembles and thermodynamics.
16. Equation-of-state for a non-ideal gas.
17. Processes in an ideal gas.
18. Processes in a non-ideal gas.
19. Reaction coordinate.
20. Structural phase transitions.
21. Phase transitions with change of aggregate state.
22. Phase transitions in the Ising model.
Appendix A. Details of the calculation algorithms.
Appendix B. Solutions.
This unique text provides an introduction to classical statistical mechanics, using molecular dynamic simulations to teach and explore the subject. Illustrated by numerous figures and animations the book will be useful for students and professionals wishing to receive a contemporary understanding of statistical physics and use the methods in their research.
2. Evolution of the phase space distribution function.
3. Equilibrium distributions.
4. Ensemble of free particles.
5. Ensemble of interacting particles.
6. Temperature.
7. Pressure, stress and tension.
8. Entropy.
9. Gibbs distribution.
10. Isothermal ensemble.
11. Free energy.
12. Grand canonical ensemble.
13. Isobaric ensembles.
14. Thermodynamic potentials.
15. Finite ensembles and thermodynamics.
16. Equation-of-state for a non-ideal gas.
17. Processes in an ideal gas.
18. Processes in a non-ideal gas.
19. Reaction coordinate.
20. Structural phase transitions.
21. Phase transitions with change of aggregate state.
22. Phase transitions in the Ising model.
Appendix A. Details of the calculation algorithms.
Appendix B. Solutions.
This unique text provides an introduction to classical statistical mechanics, using molecular dynamic simulations to teach and explore the subject. Illustrated by numerous figures and animations the book will be useful for students and professionals wishing to receive a contemporary understanding of statistical physics and use the methods in their research.
