Dimer motion on a periodic substrate: Spontaneous symmetry breaking and absolute negative mobility

Speer D, Eichhorn R, Evstigneev M, Reimann P (2012)
Physical Review E 85(6).

Journal Article | Published | English

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Abstract
We consider two coupled particles moving along a periodic substrate potential with negligible inertia effects (overdamped limit). Even when the particles are identical and the substrate spatially symmetric, a sinusoidal external driving of appropriate amplitude and frequency may lead to spontaneous symmetry breaking in the form of a permanent directed motion of the dimer. Thermal noise restores ergodicity and thus zero net velocity, but entails arbitrarily fast diffusion of the dimer for sufficiently weak noise. Moreover, upon application of a static bias force, the dimer exhibits a motion opposite to that force (absolute negative mobility). The key requirement for all these effects is a nonconvex interaction potential of the two particles.
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Speer D, Eichhorn R, Evstigneev M, Reimann P. Dimer motion on a periodic substrate: Spontaneous symmetry breaking and absolute negative mobility. Physical Review E. 2012;85(6).
Speer, D., Eichhorn, R., Evstigneev, M., & Reimann, P. (2012). Dimer motion on a periodic substrate: Spontaneous symmetry breaking and absolute negative mobility. Physical Review E, 85(6).
Speer, D., Eichhorn, R., Evstigneev, M., and Reimann, P. (2012). Dimer motion on a periodic substrate: Spontaneous symmetry breaking and absolute negative mobility. Physical Review E 85.
Speer, D., et al., 2012. Dimer motion on a periodic substrate: Spontaneous symmetry breaking and absolute negative mobility. Physical Review E, 85(6).
D. Speer, et al., “Dimer motion on a periodic substrate: Spontaneous symmetry breaking and absolute negative mobility”, Physical Review E, vol. 85, 2012.
Speer, D., Eichhorn, R., Evstigneev, M., Reimann, P.: Dimer motion on a periodic substrate: Spontaneous symmetry breaking and absolute negative mobility. Physical Review E. 85, (2012).
Speer, David, Eichhorn, Ralf, Evstigneev, Mykhaylo, and Reimann, Peter. “Dimer motion on a periodic substrate: Spontaneous symmetry breaking and absolute negative mobility”. Physical Review E 85.6 (2012).
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Fluctuation-induced transport of two coupled particles: effect of the interparticle interaction.
Makhnovskii YA, Rozenbaum VM, Sheu SY, Yang DY, Trakhtenberg LI, Lin SH., J Chem Phys 140(21), 2014
PMID: 24907991
Ratchet rotation of a 3D dimer on a vibrating plate.
Wang J, Liu C, Jia YB, Ma D., Eur Phys J E Soft Matter 37(1), 2014
PMID: 24458553

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