Numerical Simulation of Kink Dynamics in Sine-Lattice Discrete Double Sine-Gordon Equation
نویسندگان
چکیده
منابع مشابه
Kink - Antikink Interactions in the Double Sine - Gordon Equation
As 71 is varied over the range ~ < ~/< ~c, this potential exhibits a variety of structures. Although in later sections we shall discuss these different structures in some detail [2], it is important here to provide a qualitative feeling for them. Clearly, for ~ _+ oo, 'V(~) reduces to a sine-Gordon [SG] form for q~, while for 71 = 0, it leads to a SG form for q~/2. Thus in both these limits the...
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A spatially-discrete sine-Gordon system with some novel features is described. There is a topological or Bogomol'nyi lower bound on the energy of a kink, and an explicit static kink which saturates this bound. There is no Peierls potential barrier, and consequently the motion of a kink is simpler, especially at low speeds. At higher speeds, it radiates and slows down.
متن کاملThe Kink Casimir Energy in a Lattice Sine-Gordon Model
The Casimir energy of quantum fluctuations about the classical kink configuration is computed numerically in the weak coupling approximation for a recently proposed lattice sineGordon model. This energy depends periodically on the kink position and is found to be approximately sinusoidal. PACS classification numbers: 03.65.Sq, 11.10.Lm, 63.10.+a.
متن کاملKink Casimir energy in a lattice sine-Gordon model.
The Casimir energy of quantum fluctuations about the classical kink configuration is computed numerically in the weak coupling approximation for a recently proposed lattice sineGordon model. This energy depends periodically on the kink position and is found to be approximately sinusoidal. PACS classification numbers: 03.65.Sq, 11.10.Lm, 63.10.+a.
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1986
ISSN: 1347-4081,0033-068X
DOI: 10.1143/ptp.76.1