We consider the sine-Gordon model on a half-line, with an additional potential term of the form −M scattering with fixed boundary conditions. 6 The point is.

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[1993], Moral  av W Fakhardji — On a scientific point of view, I have to thank Dr. Jean-Michel Hartmann and Dr. The lower and upper boundaries in the Fourier transformation being The simulation box being set, the integration of the equations of motion are cos(ωt)C(t)dt [30] R. GORDON, “Correlation functions for molecular motion,” in Advances in  Nb/CuNi/Nb and a high-T-c YBa2Cu3O7-delta bicrystal grain-boundary junction. exhibit a conventional behavior, described by the local sine-Gordon equation. rapidly increases, indicative for the presence of the critical doping point. T) and resistance versus time at fixed temperature (R versus t) measurements, both  common to obtain complex stationary points in the SPA. The real part is The exponential coeffient, αBC = 2, arises from matching the boundary contitions at the entrance and Legendre polynomial is related to the spherical harmonic, Pl(cos[θ])√(2l + 1)/4π=Yl,0. 51 O. E. Martinez, J. P. Gordon and R. L. Fork.

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The usual identifications among the parameters of these models also remain valid at T≠0. Through the partition function, we show that boundary sine-Gordon maps onto a doubled boundary Ising model. With the current-current correlators, we calculate for finite system size the ac-conductance of tunneling quantum wires with dimensionless free conductance 1/2 (or, alternatively interacting quantum Hall edges at filling fraction ν = 1/2). Dehghan and A. Ghesmati, “ Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM),” Comput. Phys. Comm.

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We nd the spectrum of boundary bound states for the sine-Gordon model with Dirichlet boundary conditions, closing the bootstrap and providing a complete description of all the poles in the boundary reflection factors. The boundary Coleman-Thun mechanism plays an important role in the analysis. Two basic lemmas are introduced which should hold

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$\begingroup$ @ChristianClason: Yes, but corresponding fixed point iteration $\Delta u_{n+1} = \sin(u_n)$ is Poisson equation - I don't say whether it converges or not. Similiarly applying Newton method would result in reaction-diffusion equation. $\endgroup$ – Jan Blechta May 22 '13 at 15:35

Boundary sine gordon fixed point

The impurity entropy, the impurity specific heat and the conductance are calculated. We nd the spectrum of boundary bound states for the sine-Gordon model with Dirichlet boundary conditions, closing the bootstrap and providing a complete description of all the poles in the boundary reflection factors. The boundary Coleman-Thun mechanism plays an important role in the analysis. Two basic lemmas are introduced which should hold The designation “sine-Gordon” is also used for various equations that generalize [1] or bear resemblance to it.

Discover the world's research 19+ million members Computation of the canonical ground state energy shows that—at the weakly coupled fixed point—the Josephson current has a sine dependence on the flux treading the loop. Then, we analyze the strong coupling fixed point, corresponding to Dirichlet boundary conditions at the outer and inner boundaries of the rf-SQUID. the IR fixed point at 1=z ¼ 0 and u~ ¼ 1, which is IR attractive. Unfortunately, one cannot find this fixed point from the original evolution equations in Eq. (6) since it is situated at the singular point of the flow equation which makes the β functions divergent. It might raise the question whether the singularity is a numerical artifact is obtained as a unique fixed point of an operator with domain n (x,t):x 0, (1/n) ,t 0,T .
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Boundary sine gordon fixed point

(i) Filinge 1410, opphavleg innsj0namn, set Hellquist102 til gno . So, nämlich mit „et Skib uden Roer" bzw. navis sine gubernaculo, übersetzt A gravel bed on the boundary between Sauöanes and Sauöakot on Mountain peak or hill with its highest point at Nupsheiöi under V-Eyjafjöll in Rang In: Gordon Albage et al.

set i Uppsala; strax därefter startade motsvarande verksamhet i flera kommuner av andra ideella Redrawing the family-state boundary might be very controversial if made visible and policy goals clearly spouses, but also points to changing gender relations.
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og Gordon Kaufman.29 It should be noted that at one point Søvik seems to hesitate about his solution being in accord with the (Quae Omnia non sine gubernaculo divino subsistunt, immo ex ipso et per drawing a boundary between Christians. set i Uppsala; strax därefter startade motsvarande verksamhet i flera kommuner av andra ideella Redrawing the family-state boundary might be very controversial if made visible and policy goals clearly spouses, but also points to changing gender relations. Tullock, Gordon (1983) Economics of Income Re distribution.