Tagged Questions
3
votes
0answers
26 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 ...
0
votes
0answers
39 views
Lambda transition data points of $\require{mhchem}\ce{^4He}$
I'm looking to get some data on the lambda transition of $\require{mhchem}\ce{^4He}$. I need the data points of the specific heat vs. temperature graph, if that makes sense.
2
votes
0answers
53 views
Spin Glass Transitions in Random Bond Ising Model (RBIM)
In brief, is there a list of spin glass transition properties for the RBIM on different lattices? Is there any know results about the relationships between these probabilities for a graph and its ...
2
votes
2answers
89 views
Any example of lower symmetry in high temperature phase than the low temperature phase?
All the phase transition cases I came across so far have this property: the lower temperature phase has lower symmetry than the higher temperature one. But it is nowhere explicitly said that, lower ...
3
votes
2answers
276 views
Can a first order phase transition have an order parameter?
Order parameter is used to describe second order phase transition. It seems that in some papers it is used in the first order phase transitions. Can first order phase transition have an order ...
4
votes
1answer
201 views
Reasons for violation of universality in statistical mechanics
The Universality in statistical mechanics is nicely explained by the renormalization group theory. However, there are fair amount of numerical and theoretical studies show that it can be violated in ...
1
vote
1answer
83 views
Parameter determining argon phase
Currently I am working a molecular simulation to determine phases of an argon NPT ensemble using Lennard Jones potential. Mainly I use the radial distribution function to determine solid, liquid, or ...
4
votes
2answers
282 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 ...
0
votes
4answers
120 views
What is the simplest system that has both, discontinous and continous phase transitions?
I am looking the simplest system that has both discontinous phase transition and a continous phase transition between the same phases (you can change one parameter).
discontinous transition: first ...
3
votes
2answers
384 views
Latent heat vs temperature of phase transitions?
Is the latent heat associated with phase transitions correlated with the temperature at which they occur?
The latent heat is related to the difference in energy between the two phases, and the ...
6
votes
1answer
296 views
Mean-field theory in 1D Ising model
A mean-field theory approach to the Ising-model gives a critical temperature $k_B T_C = q J$, where $q$ is the number of nearest neighbours and $J$ is the interaction in the Ising Hamiltonian. Setting ...
1
vote
1answer
114 views
What kind of phases nanoparticles have (gas-solid-liquid)?
If a phase transition requires a number of particles that is in the TD-limit, can nanoparticles (~10 atoms) have phase transitions? What kind of phases and transitions nanoparticles have?
4
votes
3answers
238 views
How many particles is needed to observe a phase transition?
This is a question that was rised when we were discussing "what is melting actually". How many particles you need to form a liquid or solid. I have some remarks to point out what I want to know.
Q: ...
2
votes
1answer
110 views
renormalization group in d=3
Do we really understand why the renormalization group in $d=2+\varepsilon$ and $d=4-\varepsilon$ taking $\varepsilon=1$ gives "good" values for critical exponents in $d=3$? Are they exceptions?
Is it ...
4
votes
1answer
268 views
What are conditions for the existence of a critical value (for a phase transition)?
Can there only be a critical temperature if there is some natural unit for an observable in the model, i.e. if there is a natural scale for something? Otherwise I don't see how for a system there ...
13
votes
1answer
72 views
Phase Transition in the Ising Model with Non-Uniform Magnetic Field
Consider the Ferromagnetic Ising Model ($J>0$) on the lattice $\mathbb{Z}^2$ with the Hamiltonian with boundary condition $\omega\in\{-1,1\}$ formally given by
$$
...
4
votes
4answers
425 views
Where can I find a good classification for phase transitions?
I'm having a hard time to find a good (and modern) classification scheme for phase transitions and related universality classes. Can someone recommend a paper/book/site? Detailed mathematical aspects ...
5
votes
2answers
178 views
What happens for the spins around the phase transition
Suppose we now consider a lattice of spin, say Ising model, and the phase transition at the critical temperature $T_c$. There are few scaling laws describe the regime around the critical temperature ...
