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6 papers · 2 filters
Ising Model: Local Spin Correlations and Conformal Invariance
Reza Gheissari, Clément Hongler, S. C. Park
We study the 2-dimensional Ising model at critical temperature on a simply connected subset of the square grid . The scaling limit of the critical Ising mode…
Continuum Hamiltonian Hopf Bifurcation I
Philip J. Morrison, George I. Hagstrom
Hamiltonian bifurcations in the context of noncanonical Hamiltonian matter models are described. First, a large class of 1 + 1 Hamiltonian multi-fluid models is considered. These m…
A path integral formalism for non-equilibrium Hamiltonian statistical systems
Richard Kleeman
A path integral formalism for non-equilibrium systems is proposed based on a manifold of quasi-equilibrium densities. A generalized Boltzmann principle is used to weight manifold p…
Dispersive and soliton perturbations of finite-genus solutions of the KdV equation: computational results
Thomas Trogdon, Bernard Deconinck
All solutions of the Korteweg -- de Vries equation that are bounded on the real line are physically relevant, depending on the application area of interest. Usually, both analytica…
A numerical dressing method for the nonlinear superposition of solutions of the KdV equation
Thomas Trogdon, Bernard Deconinck
In this paper we present the unification of two existing numerical methods for the construction of solutions of the Korteweg-de Vries (KdV) equation. The first method is used to so…
Quantum Hall phases and plasma analogy in rotating trapped Bose gases
Nicolas Rougerie, Sylvia Serfaty, Jakob Yngvason
A bosonic analogue of the fractional quantum Hall eff ect occurs in rapidly rotating trapped Bose gases: There is a transition from uncorrelated Hartree states to strongly correlat…