Reply to “Comment on ‘Existence of internal modes of sine-Gordon kinks’ ”
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چکیده
In this reply to the comment by C. R. Willis, we show, by quoting his own statements, that the simulations reported in his original work with Boesch Phys. Rev. B 42, 229
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Existence of internal modes of sine-gordon kinks
We study whether or not sine-Gordon kinks exhibit internal modes or "quasimodes." By considering the response of the kinks to ac forces and initial distortions, we show that neither intrinsic internal modes nor "quasimodes" exist in contrast to previous reports. However, we do identify a different kind of internal mode bifurcating from the bottom edge of the phonon band which arises from the di...
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In Phys. Rev. B 42, 2290 (1990) we used a rigorous projection operator collective variable formalism for nonlinear Klein-Gordon equations to prove the continuum sine-Gordon (SG) equation has a long lived quasimode whose frequency is in the continuum just above the lower phonon band edge with a lifetime . We confirmed the analytic calculations by simulations which agreed very closely with the an...
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