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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. Periodic boundary conditions can be specified using y [x 0] == y [x 1].

1 Compute change in EE for sine-Gordon deformation in 2D Boundary Computation. ▷ The Bulk Picture. Mar 1, 2020 local discontinuous Galerkin method for the sine–Gordon equation in one space dimension a local steady problem with no boundary conditions on each element. posteriori error estimates for the solution and its de On the regularity of a free boundary near contact points with a fixed boundary2007Ingår i: Journal of Differential Equations, ISSN 0022-0396, E-ISSN 1090-2732, Boundary value problems for the elliptic sine-gordon equation in a semi-strip2013Ingår i: Journal of nonlinear science, ISSN 0938-8974, E-ISSN 1432-1467, Vol av R Larsson · 2019 · Citerat av 1 — of software is used to monitor if set boundaries are crossed and to analyze the flight characteristics defined, as shown in Figure 3.1, with the origin at a fixed point on the Earth's surface and the axes −N + mg cos(Θ) cos(Φ) = m ˙w + [m(pv − qu)].

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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.

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(1) Fr We consider the stationary sine-Gordon equation on metric graphs with simple We investigate the free-Fermion point of a boundary sine-Gordon model with Feb 15, 2019 The sine-Gordon model and its renormalization group evolution duces the leading two and three point correlators is a cubic the β function of the cosine operator of the boundary To fix the value of the coupling Known Bethe ansatz results about the sine–Gordon factorized scattering are reinterpreted in terms of perturbed conformal field theory. We obtain an exact Mar 4, 2019 (∇h)2 : +g cos 2πh. ) . (2). The total stiffness is K = K∗ + δK. This splitting is artificial, since H∗ is a fixed point for any choice of K∗, but treating Jan 18, 2018 Brouwer's Fixed Point Theorem is a result from topology that says no Every continuous function from a disk to itself has a fixed point. #2) the boundary of a disk (i.e.

. . . . . . 278 stationary point at the origin of the v versus x phase plane.
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Department of Physics and Astronomy, Rutgers University, PO Box 849, Piscataway, NJ 08855–0849, USA. 1997-07-31 · EISEVIER 31 July 1997 Physics Letters B 406 (1997) 83-88 PHYSICS LETTERS B Expectation values of boundary fields in the boundary sine-Gordon model Vladimir Fateev a,d, Sergei Lukyanov b,d, Alexander Zamolodchikov c,d, Alexei Zamolodchikov a a Laboratoire de Physique Mathimatique, Universiti de Montpellier 11, Pl. E. Bataillon, 34095 Montpellier, France n Newman Laboratory, Cornell University We find that the entire SL (2, C) family of boundary states of a single boson are boundary sine-Gordon states and we derive a simple explicit expression for the boundary state in fermion variables The designation “sine-Gordon” is also used for various equations that generalize [1] or bear resemblance to it. These include the so-called homogeneous and symmetric space sine-Gordon models, discrete and supersymmetric versions, and generalizations to higher-dimensional spacetimes (i.e., in [1] the spatial derivative is replaced by the Laplace operator in several variables). arXiv:0705.3928v1 [hep-th] 27 May 2007 Dissipative Hofstadter Model at the Magic Points and Critical Boundary Sine-Gordon Model Seungmuk Ji Department of Physics, Kangwon National University We study in this paper the sine-Gordon model using functional Renormalization Group (fRG) at Local Potential Approximation (LPA) using different RG schemes. In the two-dimensional sine-Gordon model possesses a nontrivial UV fixed point which makes the model asymptoticallysafe.Thefixedpointexhibitsstrongsingularitysimilartothescalingfoundinthevicinityof theinfraredfixedpoint.Thesingularitysignalstheupperenergy-scalelimittothevalidityofthemodel.We We study bosonization of the sine-Gordon theory in the presence of boundary interactions at the free fermion point.
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The impurity entropy, the impurity specific heat and the conductance are calculated. 4. The double boundary sine-Gordon model: some general results at the reflectionless points 4.1. The ground state energy.

for the Boundary Sine-Gordon Model at the Free Fermion Point Luca Mezincescu and Rafael I. Nepomechie Physics Department, P.O. Box 248046, University of Miami Coral Gables, FL 33124 USA Abstract We construct integrals of motion (IM) for the sine-Gordon model with boundary at the free Fermion point ( 2 =4ˇ) which correctly determine the boundary Smatrix. Out-of-equilibrium transport in the interacting resonant level model: Surprising relevance of the boundary sine-Gordon model Kemal Bidzhiev, Grégoire Misguich, and Hubert Saleur Phys. Rev. B 100, 075157 – Published 30 August 2019 In the present work the numerical solution and unique solvability of coupled sine Gordon equations is considered. A composite numerical method based on ﬁnite diﬀerence method and ﬁxed point iteration is implemented to solve coupled sine-Gordon equations with appropriate initial and boundary conditions. The sine-Gordon equation is the theory of a massless scalar field in one space and one time dimension with interaction density proportional to cosβϕ, where β is a real parameter.