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most citedThe complex network of global cargo ship movements

982 citations

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cond-mat.stat-mech2016★ 34 cited

Pattern formation with repulsive soft-core interactions: discrete particle dynamics and Dean-Kawasaki equation

Jean-Baptiste Delfau, Hélène Ollivier, Cristóbal López +2

Brownian particles interacting via repulsive soft-core potentials can spontaneously aggregate, despite repelling each other, and form periodic crystals of particle clusters. We stu…

cond-mat.stat-mech1998★ 8 cited

The randomly driven Ising ferromagnet, Part II: One and two dimensions

J. Hausmann, P. Rujan

We consider the behavior of an Ising ferromagnet obeying the Glauber dynamics under the influence of a fast switching, random external field. In Part I, we introduced a general for…

cond-mat.stat-mech1998★ 6 cited

The randomly driven Ising ferromagnet, Part I: General formalism and mean field theory

J. Hausmann, P. Rujan

We consider the behavior of an Ising ferromagnet obeying the Glauber dynamics under the influence of a fast switching, random external field. After introducing a general formalism…

cond-mat.stat-mech1997★ 20 cited

Stationary Properties of a Randomly Driven Ising Ferromagnet

J. Hausmann, P. Rujan

We consider the behavior of an Ising ferromagnet obeying the Glauber dynamics under the influence of a fast switching, random external field. Analytic results for the stationary st…

cond-mat.stat-mech1997★ 2 cited

The Exact Ground State of the Frenkel-Kontorova Model with Repeated Parabolic Potential: II. Numerical Treatment

T. Scheidsteger, H. Urbschat, R. B. Griffiths +1

A procedure is described for efficiently finding the ground state energy and configuration for a Frenkel-Kontorova model in a periodic potential, consisting of N parabolic segments…

cond-mat.stat-mech1997★ 4 cited

The Exact Ground State of the Frenkel-Kontorova Model with Repeated Parabolic Potential: I. Basic Results

R. B. Griffiths, H. J. Schellnhuber, H. Urbschat

The problem of finding the exact energies and configurations for the Frenkel-Kontorova model consisting of particles in one dimension connected to their nearest-neighbors by spring…