Physics – Mathematical Physics
Scientific paper
2008-02-20
Eur. Phys. J. B 72, 269-277 (2009)
Physics
Mathematical Physics
17pages, 15 figures
Scientific paper
10.1140/epjb/e2009-00331-0
The periodic and step-like solutions of the double-Sine-Gordon equation are investigated, with different initial conditions and for various values of the potential parameter $\epsilon$. We plot energy and force diagrams, as functions of the inter-soliton distance for such solutions. This allows us to consider our system as an interacting many-body system in 1+1 dimension. We therefore plot state diagrams (pressure vs. average density) for step-like as well as periodic solutions. Step-like solutions are shown to behave similarly to their counterparts in the Sine-Gordon system. However, periodic solutions show a fundamentally different behavior as the parameter $\epsilon$ is increased. We show that two distinct phases of periodic solutions exist which exhibit manifestly different behavior. Response functions for these phases are shown to behave differently, joining at an apparent phase transition point.
Gharaati A.
Montakhab Afshin
Peyravi Marzieh
Riazi Nematollah
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