Tagged Questions
5
votes
1answer
67 views
The BGK approximation of the collision integral
Bhatnagar, Gross and Krook proposed a relaxation term for the collision integral $ Q$ as follows
$$J = \frac{1}{\tau} (f^{eq} - f)$$
where $f^{eq}$ is the distribution at equilibrium.
$Q$ has ...
3
votes
0answers
52 views
Lattice model completely constrained by boundary data
I am dealing with a lattice model that has the peculiar property that if I specify all the spins on the boundary, by local conservation laws, the whole lattice configuration (throughout the whole ...
4
votes
2answers
308 views
What is a bulk phase transition?
I have been able to google "bulk phase transition" and get plenty of results that verify that something called a bulk phase transition exists, however, I cannot seem to find a precise definition of ...
4
votes
2answers
121 views
Pair interactions on finite square lattice
I am looking for an exact or approximate solution to a statistical lattice-particle problem:
Given a lattice of size $L\times L$ where $\rho\cdot L^2$ particles are randomly distributed, calculate ...
2
votes
2answers
125 views
Graph Invariants and Statistical Mechanics
Many intuitive knot invariants including Jones' polynomial are inspired by statistical mechanics. Further profound connections have been explored between knot theory and statistical mechanics. I was ...
9
votes
1answer
108 views
Why are topological solitons present in some phases for lattice models?
Over a spatial continuum, it is easy to see why some topological solitons like vortices and monopoles have to be stable. For similar reasons, Skyrmions also have to be stable, with a conserved ...
10
votes
2answers
293 views
What is known about some massive Gaussian models on a lattice?
Recently I started to play with some massive Gaussian models on a lattice. Motivation being that I work on massless models and want to understand the massive case because it seems easier to handle ...
