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Enhanced hyperuniformity from random reorganization
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DOI：10.1073/pnas.1619260114.png)
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摘要
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Diffusion relaxes density fluctuations toward a uniform random state whose variance in regions of volume v = l(d) scales as sigma(2)(rho) equivalent to - (2) similar to l(-d) similar to l(-d). Systems whose fluctuations decay faster, sigma(2)(rho) similar to l(-lambda) with d < lambda <= d + 1, are called hyperuniform. The larger lambda, the more uniform, with systems like crystals achieving the maximum value: lambda = d + 1. Although finite temperature equilibrium dynamics will not yield hyperuniform states, driven, nonequilibrium dynamics may. Such is the case, for example, in a simple model where overlapping particles are each given a small random displacement. Above a critical particle density rho(c), the system evolves forever, never finding a configuration where no particles overlap. Below rho(c), however, it eventually finds such a state, and stops evolving. This absorbing state is hyperuniform up to a length scale xi, which diverges at rho(c). An important question is whether hyperuniformity survives noise and thermal fluctuations. We find that hyperuniformity of the absorbing state is not only robust against noise, diffusion, or activity, but that such perturbations reduce fluctuations toward their limiting behavior, lambda -> d + 1, a uniformity similar to random close packing and early universe fluctuations, but with arbitrary controllable density.
Keyword:
random organization
absorbing states
hyperuniformity
Manna model
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9.1
论文数:
10.8W
被引数:
73.5W
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Non-equilibrium critical phenomena and phase transitions into absorbing states.png)
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