The content discusses the propagation of long-range kinks in heterogeneous media. Key highlights:
Long-range kinks can tunnel through energy barriers even when their center of mass energy is less than the barrier height. This is due to the extended nature of long-range kinks and their long-range interactions.
The interaction of long-range kinks with the positive and negative structures of the heterogeneous field F(x) is crucial for understanding the tunneling phenomenon. The competition between the negative and positive zones of F(x) determines whether the kink can tunnel through the barrier.
Conditions are derived for long-range kink tunneling, including a tunneling criterion based on the potential energy of the kink due to the interaction with F(x).
It is shown that long-range kinks can propagate freely through a disordered medium if the tunneling condition is satisfied for every basic block structure containing a negative minimum, a positive maximum, and another negative minimum.
The implications of long-range kink tunneling are discussed in the context of quantum kinks, Kac-Baker interactions, non-local Josephson electrodynamics, and kink tunneling in general.
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