Comment on "Soliton ratchets induced by excitation of internal modes"

Abstract

Very recently Willis et al. [Phys. Rev. E {\bf 69}, 056612 (2004)] have used a collective variable theory to explain the appearance of a nonzero energy current in an ac driven, damped sine-Gordon equation. In this comment, we prove rigorously that the time-averaged energy current in an ac driven nonlinear Klein-Gordon system is strictly zero.

3 pages, 1 figure, Submitted to Phys. Rev. E

References in corpus (5)

• Soliton ratchets induced by ac forces with harmonic mixing
• Broken symmetries and directed collective energy transport
• Soliton ratchets
• Internal mode mechanism for collective energy transport in extended systems
• Soliton Ratchets Induced by Excitation of Internal Modes

Cited by in corpus (4)

• Soliton ratchets in homogeneous nonlinear Klein-Gordon systems
• Analytical approach to soliton ratchets in asymmetric potentials
• Ratchet effect on a relativistic particle driven by external forces
• Energy flow of moving dissipative topological solitons