Kink dynamics under odd perturbations for (1+1)-scalar field models with one internal mode

Kink dynamics under odd perturbations for (1+1)-scalar field models with one internal mode
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发表时间:
2022-03
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通讯作者:
M. Kowalczyk;Y. Martel
M. Kowalczyk;Y. Martel
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其他
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作者:
M. Kowalczyk;Y. Martel

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我们考虑具有一个内模的奇对称(1+1)标量场模型。在自然和强大的假设下,包括费米黄金法则,我们证明了奇异摄动的扭结的能量空间中的渐近稳定性。例如,该结果适用于奇对称的φ模型及其某些扰动。
We consider odd symmetric (1+1)-scalar field models with one internal mode. Under natural and robust assumptions, including the Fermi golden rule, we prove the asymptotic stability of the kink by odd perturbations in the energy space. For example, the result applies to the φ model with odd symmetry and some of its perturbations.