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Modeling Flocks and Prices: Jumping Particles with an Attractive Interaction
Competing particles center of mass mean field evolution traveling wave fluid limit extreme value statistics
2011/9/13
Abstract: We introduce and investigate a new model of a finite number of particles jumping forward on the real line. The jump lengths are independent of everything, but the jump rate of each particle ...
Charged polymers in the attractive regime: a first order transition from Brownian scaling to four points localization
Charged polymers attractive regime Brownian scaling four points localization
2010/11/11
We study a quenched charged-polymer model, introduced by Garel and Orland in 1988, that reproduces the folding/unfolding transition of biopolymers. We prove that, below the critical inverse temperatu...
Existence of Spherically Symmetric Initial Data with Zero Energy, Unit Mass, and Virial less than - 1/2 for the Relativistic Vlasov-Poisson Equation with Attractive Coupling
Zero Energy Unit Mass
2010/11/19
In a recent paper, Kiessling and Tahvildar-Zadeh proved that any spherically symmetric classical solution of the attractive relativistic Vlasov-Poisson equation launched by sufficiently regular initi...
Equilibrium Attractive Properties of A Class of Multistep Runge-Kutta Methods
Initial value problems Ordinary differential equations Multistep Runge–Kutta methods Equilibrium attractivity
2012/8/1
The main purpose of this paper is to discuss the equilibrium attractive properties of a class of multistep Runge–Kutta methods for initial value problems of ordinary differential equations. Some algeb...
Similarity Solutions and Collapse in the Attractive Gross-Pitaevskii Equation
Similarity Solutions and Collapse Attractive Gross-Pitaevskii Equation
2010/11/2
We analyse a generalised Gross-Pitaevskii equation involving a paraboloidal trap potential in $D$ space dimensions and generalised to a nonlinearity of order $2n+1$. For {\em attractive} coupling con...
