# Questions tagged [critical-phenomena]

The physics of critical phenomena is the physics of systems close to a critical point, like the critical temperature in a ferromagnetic transition or the critical point of a gas-liquid transition. Examples of critical phenomena include dynamical slowing down, divergence of correlation length and ergodicity breaking.

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### Particular Ising Model of Cellular Automata Shows Mathematical Properties [closed]

I have written a cellular automaton that shows very unusual properties connecting the critical point of 2D square-lattice Ising model and the golden ratio. My question is, is the algebraic method ...
14 views

### Ferromagnetic/Paramagnetic Phase Transition in a Non-Zero External Magnetic Field

I'm new to condensed matter theory, especially spin-glass systems. I understand that the Ising model exhibits a Phase Transition when there is no external magnetic field (h=0). And that at the ...
147 views

### Ising Model with site-dependent magnetic field

Consider an Ising system in an external field, which is different at different sites. The Hamiltonian of the system is given by $H = -J\sum_{<i,j>}^{}s_i s_j - \sum_{i}^{} h_i s_i$ Here each ...
22 views

### Critical exponent relation for neural avalanche dynamics

I am trying to understand the origin of equation (4) in this paper. Per the arguments of Touboul and Destexhe, a power law distribution for avalanche size and duration, as well as observed data ...
59 views

### How to find the critical exponent of some directional dependent correlation length?

I am working on a two dimensional anisotropic system with correlation length diverging with different critical exponent in different directions. And I am wondering if there is any theoretical ...
378 views

### Ising model Monte Carlo simulations in 4D and 5D

I'm going to be simulating the Ising Model in 4D and above to calculate spin-spin correlations and critical exponents and am wondering how to tackle this algorithmically. For example, in 1D, use an ...
28 views

### Critical supercurrent

What is meant by the concept of critical current when talking about superconducting phase diagrams and transitions? How does this relate to critical field and temperature? Thanks
68 views

### Ising model 1D spontaneous magnetisation

What does it mean to 'compute the spontaneous magnetisation'? According to wikipedia: 'Spontaneous magnetization is the appearance of an ordered spin state (magnetization) at zero applied magnetic ...
33 views

### Three point correlation function 2D Ising model

What is the expected behaviour of the three point function $<\sigma_i \sigma_j \sigma_k>$ of the Ising 2D model at the critical point where conformal symmetry is valid? Do they have a power-law ...