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Hi, I apologize for this apparently silly question, but please, could you point me out if there is an underlying relationship between the defect driven phase transition and the directed...
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Hi, The vortex-unbinding Kosterlitz-Thouless physics generally applies to two-dimensional systems and occasionally three dimensional solid. I was wondered if there exits an one dimensional analogy...
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Hi, Let us consider a large ensemble of vortices immersed in a flow domain. The Helmholtz free energy is given by F=E-Tk F=E-Tk ln N, where k is the Boltzman constant, and W is the number of the...
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Hi! Please, could anyone point me out an intuitive way to understand the exponential divergence of the correlation length in the KT-transition; in contrast to the usual algebraic divergence in the...
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Dear All, I am working on understanding the transition from laminar to turbulent behaviour in Navier-Stokes equations by the approach of dynamical systems theory. I have derived a...
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Hello all, I am studying the laminar-turbulent phase transition. It is well known that in pipe flows, turbulence first manifests itself in localized turbulent patches surrounded by laminar...
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