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pro vyhledávání: '"Gould, Harvey"'
Many systems in nature are conjectured to exist at a critical point, including the brain and earthquake faults. The primary reason for this conjecture is that the distribution of clusters (avalanches of firing neurons in the brain or regions of slip
Externí odkaz:
http://arxiv.org/abs/2207.04142
Publikováno v:
Phys. Rev. E 104, 014150 (2021)
The agent-based Yard-Sale model of wealth inequality is generalized to incorporate exponential economic growth and its distribution. The distribution of economic growth is nonuniform and is determined by the wealth of each agent and a parameter $\lam
Externí odkaz:
http://arxiv.org/abs/2102.01268
Publikováno v:
Phys. Rev. E 104, 014151 (2021)
We develop a mean-field theory of the growth, exchange and distribution (GED) model introduced by Kang et al. (preceding paper) that accurately describes the phase transition in the limit that the number of agents $N$ approaches infinity. The GED mod
Externí odkaz:
http://arxiv.org/abs/2102.01274
Publikováno v:
Phys. Rev. E 103, 033305 (2021)
We use a Convolutional Neural Network (CNN) and two logistic regression models to predict the probability of nucleation in the two-dimensional Ising model. The three models successfully predict the probability for the Nearest Neighbor Ising model for
Externí odkaz:
http://arxiv.org/abs/2004.09575
Publikováno v:
Phys. Rev. E 101, 022102 (2020)
Prediction in complex systems at criticality is believed to be very difficult, if not impossible. Of particular interest is whether earthquakes, whose distribution follows a power law (Gutenberg-Richter) distribution, are in principle unpredictable.
Externí odkaz:
http://arxiv.org/abs/1907.11790
Publikováno v:
Phys. Rev. E 101, 022103 (2020)
We show that the Olami-Feder-Christensen model exhibits an effective ergodicity breaking transition as the noise is varied. Above the critical noise, the average stress on each site converges to the global average. Below the critical noise, the stres
Externí odkaz:
http://arxiv.org/abs/1903.12652
Publikováno v:
Phys. Rev. E 90, 042111 (2014)
Although the fully connected Ising model does not have a length scale, we show that its critical exponents can be found using finite size scaling with the scaling variable equal to N, the number of spins. We find that at the critical temperature of t
Externí odkaz:
http://arxiv.org/abs/1403.4854
We investigate the relation between economic growth and equality in a modified version of the agent-based asset exchange model (AEM). The modified model is a driven system that for a range of parameter space is effectively ergodic in the limit of an
Externí odkaz:
http://arxiv.org/abs/1305.0794
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Autor:
Tobochnik, Jan, Gould, Harvey
We discuss several ways of illustrating fundamental concepts in statistical and thermal physics by considering various models and algorithms. We emphasize the importance of replacing students' incomplete mental images by models that are physically ac
Externí odkaz:
http://arxiv.org/abs/0712.3488