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29 March 2024
 
  » arxiv » nlin.PS/0110013

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Broken symmetries and directed collective energy transport
S. Flach ; Y. Zolotaryuk ; A. E. Miroshnichenko ; M. V. Fistul ;
Date 9 Oct 2001
Journal Phys. Rev. Lett. 88, 184101 (2002)
Subject Pattern Formation and Solitons; Chaotic Dynamics; Soft Condensed Matter | nlin.PS cond-mat.soft nlin.CD
AbstractWe study the appearance of directed energy current in homogeneous spatially extended systems coupled to a heat bath in the presence of an external ac field E(t). The systems are described by nonlinear field equations. By making use of a symmetry analysis we predict the right choice of E(t) and obtain directed energy transport for systems with a nonzero topological charge Q. We demonstrate that the symmetry properties of motion of topological solitons (kinks and antikinks) are equivalent to the ones for the energy current. Numerical simulations confirm the predictions of the symmetry analysis and, moreover, show that the directed energy current drastically increases as the dissipation parameter $alpha$ reduces. Our results generalize recent rigorous theories of currents generated by broken time-space symmetries to the case of interacting many-particle systems.
Source arXiv, nlin.PS/0110013
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