Phase transitions in systems of particles with only hard-core interactions Lecture - 1
2
Outline
3
Preliminaries 1: Phases and phase transitions
4
Preliminaries 2: general theory of phase transitions
5
Preliminaries 3: Need for simpler models
6
The hard sphere model
7
Fluid-solid transition in hard sphere systems
8
Entropy of Melting: A back-of-the envelop calculation
9
Melting entropy of some selected materials
10
The melting transition in hard spheres model
11
The melting/ crystallization transition in hard spheres
12
Other shapes
13
Phase transitions in a system of long rods
14
Lattice model of long rods
15
In Lattice models
16
Earlier work
17
Phase transitions: hard rods in 2-d
18
Monte Carlo Algorithm
19
Q&A
Description:
Explore phase transitions in hard-core systems through this comprehensive lecture by Deepak Dhar. Delve into the fundamentals of phases and phase transitions, examining the general theory and the need for simpler models. Investigate the hard sphere model, focusing on fluid-solid transitions and entropy of melting. Compare melting entropies of various materials and analyze the melting/crystallization transition in hard spheres. Examine phase transitions in systems of long rods, including lattice models and earlier work in the field. Learn about Monte Carlo algorithms for studying these systems. Gain insights into the complex world of statistical physics through this in-depth exploration of hard-core particle interactions and their role in phase transitions.
Phase Transitions in Hard-Core Systems - Lecture 1