#ising — Public Fediverse posts

#paperOfTheDay : "How soon after a zero-temperature quench is the fate of the Ising model sealed?" from 2013.
As is well known, several methods of #quantumFieldTheory and statistical #physics can be used to study the behaviour of systems in equilibrium, and in particular at the critical point. For example, the #Ising model describes a lattice of spin variables, and one can compute critical exponents for the correlation length, assuming that the model has reached a steady state for a fixed temperature.
The present article studies the Ising model, but in a different situation: A (somewhat low) temperature is given, but the model is initialized in a fully random state (which would be the equilibrium state at very high temperature). As the simulation starts, the model moves towards its steady state: Neighbouring spins start to align, and clusters of a certain size are formed. Qualitatively, the size of the clusters in equilibrium is known, but their precise shape and orientation depends on the particular (random) simulation. This information must therefore emerge at some point after the initialization of the simulation. The present paper asks: When? The outcome is that this happens very early, in particular, long before the equilibrium is reached. But also, it's not the first cluster that survives. Instead, several clusters emerge after very few time steps, some disappear, some rearrange, but then one configureation "wins", and for a long time all that happens is that this clustering grows into its final equilibrium shape.
This paper is a nice (full of pictures!) example for properties of the Ising model beyond the usual equilibrium critical exponents story.
https://arxiv.org/abs/1312.1712

https://www.europesays.com/people/35418/ Nvidia’s Quantum Strategy Is Shifting Market Power Toward A Lesser‑Known Player #Ising #JensenHuang #Nvidia #NvidiaStock #QC

Learned at a conference a couple of days ago that our Ising model proposed in 2017 to describe collective U-turns in fish schools could now be labelled as a 'non-reciprocal Ising model'; how cool that there is a name for this class of models -- meaning it is of interest for physicists!

Our early non-reciprocal Ising model: https://doi.org/10.1098/rspb.2018.0251 🐟

#physics #ising #CollectiveBehaviour #fish

the #Droitwich #iSing #Choir performing #Elbow’s #OneDayLikeThis at the town’s #SaltFest yesterday: great to see locals of different ages and abilities performing together.

I hear their soloist was pretty good too!

Just as the behavior of #spins in the #Ising model can be understood #statistically, the behavior described by #QFTs might also be statistical in nature.This implies that #quantum #field #theories are not describing fundamental fields directly but are instead capturing the statistical properties of an underlying, more fundamental theory. If QFTs are statistical, they might only approximate the behavior of a deeper reality, similar to how the Ising model approximates the behavior of a material.

The study of topological phases in quantum systems (like in the #quantum #Hall effect) can be seen as analogous to the study of #topological #transitions in #statistical models like the #Ising #model.

Have to brush up 🧹 my Monte Carlo knowledge for an interview. Turns out, the exact definition of a Monte Carlo method/simulation is somewhat subjective.

However, when looking for a cool gif I found this neat #julia package: https://github.com/genkuroki/Ising2D.jl

Thanks @genkuroki for building it 😃

#Ising #compphys #MonteCarlo

Could One #Physics #Theory Unlock the #Mysteries of the #Brain?

https://www.youtube.com/watch?v=hjGFp7lMi9A&ab_channel=QuantaMagazine

#PerBak #PhilosophyOfScience #Science #Neuroscience #Biology #MolecularBiology #Thermodynamics #SellfSimilar #ScaleInvariance #Fractal #Fractals #CriticalPoint #Criticality #Ising #IsingModel #PhaseState #PhaseTransition #PhaseTransitions #Homeostasis #QuasiCrticality

Could One #Physics #Theory Unlock the #Mysteries of the #Brain?

https://www.youtube.com/watch?v=hjGFp7lMi9A&ab_channel=QuantaMagazine

#PerBak #PhilosophyOfScience #Science #Neuroscience #Biology #MolecularBiology #Thermodynamics #SellfSimilar #ScaleInvariance #Fractal #Fractals #CriticalPoint #Criticality #Ising #IsingModel #PhaseState #PhaseTransition #PhaseTransitions #Homeostasis #QuasiCrticality

Could One #Physics #Theory Unlock the #Mysteries of the #Brain?

https://www.youtube.com/watch?v=hjGFp7lMi9A&ab_channel=QuantaMagazine

#PerBak #PhilosophyOfScience #Science #Neuroscience #Biology #MolecularBiology #Thermodynamics #SellfSimilar #ScaleInvariance #Fractal #Fractals #CriticalPoint #Criticality #Ising #IsingModel #PhaseState #PhaseTransition #PhaseTransitions #Homeostasis #QuasiCrticality

Could One #Physics #Theory Unlock the #Mysteries of the #Brain?

https://www.youtube.com/watch?v=hjGFp7lMi9A&ab_channel=QuantaMagazine

#PerBak #PhilosophyOfScience #Science #Neuroscience #Biology #MolecularBiology #Thermodynamics #SellfSimilar #ScaleInvariance #Fractal #Fractals #CriticalPoint #Criticality #Ising #IsingModel #PhaseState #PhaseTransition #PhaseTransitions #Homeostasis #QuasiCrticality