133 citations · 717 across the 27 of their papers we have counts for
12 papers · 1 filter
Cluster Scaling and Critical Points: A Cautionary Tale
W. Klein, Harvey Gould, Sakib Matin
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 c…
Mean-field theory of an asset exchange model with economic growth and wealth distribution
W. Klein, N. Lubbers, Kang K. L. Liu +2
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 th…
Simulation of a generalized asset exchange model with economic growth and wealth distribution
Kang K. L. Liu, N. Lubbers, W. Klein +3
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 nonunifo…
Anomalous mean-field behavior of the fully connected Ising model
Louis Colonna-Romano, Harvey Gould, W. Klein
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…
Homogeneous and heterogeneous nucleation of Lennard-Jones liquids
Hui Wang, Harvey Gould, W. Klein
The homogeneous and heterogeneous nucleation of a Lennard-Jones liquid is investigated using the umbrella sampling method. The free energy cost of forming a nucleating droplet is d…
Approaching equilibrium and the distribution of clusters
Hui Wang, Kipton Barros, Harvey Gould +1
We investigate the approach to stable and metastable equilibrium in Ising models using a cluster representation. The distribution of nucleation times is determined using the Metrop…