Questions tagged [disorder]
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Do the random-bond Ising model correlation functions decay with the disorder strength?
I'm imagining a square lattice with Ising spins on the vertices and nearest-neighbor Ising interactions. The interaction on a given bond is ferromagnetic with probability $(1-p)$ and antiferromagnetic ...
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Is it possible to realize a probabilistic Maxwell's demon using Tesla valve?
Imagine a container, with balls of diameter 1x and 10x, moving randomly in all directions. These balls are mixed, so it is a low order system.
Now this container is connected to another container via ...
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How does the energy gap in the all-to-all random Ising (Sherrington-Kirkpatrick) model scale with system size?
Recently, I asked the question Must spin glasses really have an exponential density of states close to the ground state?. Here, I give a related, more specific question, whose answer may give steps ...
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Are complexity and disorder correlated in entropy?
I am coming from the musical field, but I am looking into the topic of entropy.
In many articles from the field of physics, I keep finding what I consider a sort of misunderstanding, but I may be ...
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What is the intuitive meaning of the typical value $e^{\left\langle \log X \right\rangle}$ of a random variable $X$?
The notion of the typical value $e^{\left\langle \log X \right\rangle}$ of a random variable $X$ comes up often in the study of disordered systems. For examples see the short paragraph above eq. (4) ...
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Do annealed energies underestimate quenched energies?
In the physics of disordered systems, there are two ways to treat the disorder:
Quenched disorder, in which the disordered variables are considered to be frozen with respect to the thermodynamic ...
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Quenched and annealed disorder in a combinatorial problem
For a research project I'm dealing with a combinatorial problem which I am modeling as a disordered system. For some context, the problem is the TSP, and the disorder enters through the weights on its ...
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Question about molecules and their movement
This question might be nonsensical and, if it is, please leave a reply so I know and can remove it.
I'm currently learning about basic thermodynamics and was thinking, if there is some "average&...
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Averaging SYK models and the disappearance of the density matrix
In A strongly correlated metal built from Sachdev-Ye-Kitaev models by Song et al. they wish to calculate the generating function for a system with quenched disorder. In the Keldysh formalism, this ...
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Reading materials on Lee-Yang zeroes for spin systems with quenched disorder
I am trying to have a deeper understanding of the Lee-Yang zeros for spin systems with quenched disorder. So far I have read Section 3.2 of Itzykson-Drouffe which covers the concept for Ising model. ...
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References for prerequisite material for understanding papers on Generalized Global Symmetries
I want to understand the papers https://arxiv.org/abs/1412.5148 and https://arxiv.org/abs/1703.00501. Assuming that I understand basics of gauge theories, could someone suggest some references ...
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Derivation of Lyapunov exponent in 1D disordered system
What I am considering is a tight-binding model of 1D disordered system. According to the literature (page 1500, equation (60)), Lyapunov exponent $\gamma$ is calculated as follows which I am not ...
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Weak localization, strong localization, and localization without a metal-insulator transition
As I begin to read literature on Anderson localization by disorder, authors are distinguishing between cases that are unfamiliar to me, namely weak localization, strong localization, and localization ...
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Why is a symmetric traceless tensor zero when averaged over all directions?
In page 168 in Ref. [1], the authors search for a suitable order parameter for the nematic phase in liquid crystal. If $\vec v^\alpha$ is the direction of a single molecule, than due to the inversion ...
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Complete localization in 2D
The two-dimensional Anderson model is the model $$ H = T + \lambda V_\omega $$ where $T$ is nearest-neighbor hopping on $\mathbb{Z}^2$ and $V_\omega$ is a random potential. $\lambda > 0$ is the ...
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