Dynamics of a dimer in a symmetric potential: Ratchet effect generated by an internal degree of freedom

von Gehlen S, Evstigneev M, Reimann P (2008)
Physical Review E 77(3): 031136.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
The one- dimensional dynamics of a dimer consisting of two harmonically coupled components is considered. The mutual distance between the dimer components plays the role of an internal degree of freedom. Both components are in contact with the same heat bath and are coupled to a spatially periodic, symmetric potential, whose amplitude is modulated periodically in time and whose coupling strength is different for the two components. In the absence of any external bias, a ratchet effect ( directed transport ) arises generically unless the mutual coupling of the dimer components tends to zero or infinity. In other words, the ratchet effect is generated by the internal degree of freedom. An accurate analytical approximation for the dimer's velocity and diffusion coefficient is obtained. The velocity of the system is maximized by adding an optimal amount of noise and by tuning the driving frequency to an optimal value. Furthermore, there exists an optimal coupling strength at which the velocity is the largest.
Erscheinungsjahr
2008
Zeitschriftentitel
Physical Review E
Band
77
Ausgabe
3
Art.-Nr.
031136
ISSN
1539-3755
eISSN
1550-2376
Page URI
https://pub.uni-bielefeld.de/record/1592079

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von Gehlen S, Evstigneev M, Reimann P. Dynamics of a dimer in a symmetric potential: Ratchet effect generated by an internal degree of freedom. Physical Review E. 2008;77(3): 031136.
von Gehlen, S., Evstigneev, M., & Reimann, P. (2008). Dynamics of a dimer in a symmetric potential: Ratchet effect generated by an internal degree of freedom. Physical Review E, 77(3), 031136. https://doi.org/10.1103/PhysRevE.77.031136
von Gehlen, Sebastian, Evstigneev, Mykhaylo, and Reimann, Peter. 2008. “Dynamics of a dimer in a symmetric potential: Ratchet effect generated by an internal degree of freedom”. Physical Review E 77 (3): 031136.
von Gehlen, S., Evstigneev, M., and Reimann, P. (2008). Dynamics of a dimer in a symmetric potential: Ratchet effect generated by an internal degree of freedom. Physical Review E 77:031136.
von Gehlen, S., Evstigneev, M., & Reimann, P., 2008. Dynamics of a dimer in a symmetric potential: Ratchet effect generated by an internal degree of freedom. Physical Review E, 77(3): 031136.
S. von Gehlen, M. Evstigneev, and P. Reimann, “Dynamics of a dimer in a symmetric potential: Ratchet effect generated by an internal degree of freedom”, Physical Review E, vol. 77, 2008, : 031136.
von Gehlen, S., Evstigneev, M., Reimann, P.: Dynamics of a dimer in a symmetric potential: Ratchet effect generated by an internal degree of freedom. Physical Review E. 77, : 031136 (2008).
von Gehlen, Sebastian, Evstigneev, Mykhaylo, and Reimann, Peter. “Dynamics of a dimer in a symmetric potential: Ratchet effect generated by an internal degree of freedom”. Physical Review E 77.3 (2008): 031136.

9 Zitationen in Europe PMC

Daten bereitgestellt von Europe PubMed Central.

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PMID: 28649969
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PMID: 24907991
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Pototsky A, Marchesoni F, Savel'ev SE., Phys Rev E Stat Nonlin Soft Matter Phys 81(3 pt 1), 2010
PMID: 20365704
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PMID: 19257010
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PMID: 19391909
Net transport due to noise-induced internal reciprocating motion.
Makhnovskii YA, Rozenbaum VM, Yang DY, Lin SH., J Chem Phys 130(16), 2009
PMID: 19405555
Polymer dynamics in time-dependent periodic potentials.
Kauttonen J, Merikoski J, Pulkkinen O., Phys Rev E Stat Nonlin Soft Matter Phys 77(6 pt 1), 2008
PMID: 18643241
Resonancelike phenomena in the mobility of a chain of nonlinear coupled oscillators in a two-dimensional periodic potential.
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PMID: 18999393

27 References

Daten bereitgestellt von Europe PubMed Central.

Brownian motors: noisy transport far from equilibrium
Reimann, Physics Reports 361(2-4), 2002
Internal degrees of freedom in a thermodynamical model for intracell biological transport
Cilla, Physica D Nonlinear Phenomena 113(2-4), 1998
Reversal in the direction of movement of a molecular motor.
Henningsen U, Schliwa M., Nature 389(6646), 1997
PMID: 9288974
A structural change in the kinesin motor protein that drives motility.
Rice S, Lin AW, Safer D, Hart CL, Naber N, Carragher BO, Cain SM, Pechatnikova E, Wilson-Kubalek EM, Whittaker M, Pate E, Cooke R, Taylor EW, Milligan RA, Vale RD., Nature 402(6763), 1999
PMID: 10617199
The kinesin walk: a dynamic model with elastically coupled heads.
Derenyi I, Vicsek T., Proc. Natl. Acad. Sci. U.S.A. 93(13), 1996
PMID: 8692894
Resonant activation over a fluctuating barrier.
Doering CR, Gadoua JC., Phys. Rev. Lett. 69(16), 1992
PMID: 10046454
Diffusional kinetics of SiGe dimers on Si(100) using atom-tracking scanning tunneling microscopy
Qin XR, Swartzentruber BS, Lagally MG., Phys. Rev. Lett. 85(17), 2000
PMID: 11030975
Atomic scale engines: cars and wheels.
Porto M, Urbakh M, Klafter J., Phys. Rev. Lett. 84(26 Pt 1), 2000
PMID: 10991123
Noise-induced transport of two coupled particles.
Klumpp S, Mielke A, Wald C., Phys Rev E Stat Nonlin Soft Matter Phys 63(3 Pt 1), 2001
PMID: 11308685
Mirror symmetry breaking through an internal degree of freedom leading to directional motion.
Cilla S, Falo F, Floria LM., Phys Rev E Stat Nonlin Soft Matter Phys 63(3 Pt 1), 2001
PMID: 11308633
Unique dynamic appearance of a Ge-Si ad-dimer on Si(001).
Lu ZY, Liu F, Wang CZ, Qin XR, Swartzentruber BS, Lagally MG, Ho KM., Phys. Rev. Lett. 85(26 Pt 1), 2000
PMID: 11136057
Modeling molecular motors
Jülicher, Reviews of Modern Physics 69(4), 1997
Thermodynamics and kinetics of a Brownian motor.
Astumian RD., Science 276(5314), 1997
PMID: 9139648
A biologically inspired ratchet model of two coupled Brownian motors
Dan, Physica A Statistical Mechanics and its Applications 318(1-2), 2003
Force-free motion in an asymmetric environment: a simple model for structured objects
Ajdari, Journal de Physique I 4(11), 1994
Stimulated diffusion of an adsorbed dimer.
Braun OM, Ferrando R, Tommei GE., Phys Rev E Stat Nonlin Soft Matter Phys 68(5 Pt 1), 2003
PMID: 14682782
The roles of ratchet in transport of two coupled particles
WANG, Physica A Statistical and Theoretical Physics 337(1-2), 2004
A random walker on a ratchet
MATEOS, Physica A Statistical Mechanics and its Applications 351(1), 2005
Cooperation behavior in transport process of coupled Brownian motors
WANG, Physica A Statistical Mechanics and its Applications 357(3-4), 2005
Single-polymer Brownian motor: a simulation study.
Downton MT, Zuckermann MJ, Craig EM, Plischke M, Linke H., Phys Rev E Stat Nonlin Soft Matter Phys 73(1 Pt 1), 2006
PMID: 16486187
Dynamics, rectification, and fractionation for colloids on flashing substrates.
Libal A, Reichhardt C, Janko B, Reichhardt CJ., Phys. Rev. Lett. 96(18), 2006
PMID: 16712403
Mechanical coupling in flashing ratchets.
Craig EM, Zuckermann MJ, Linke H., Phys Rev E Stat Nonlin Soft Matter Phys 73(5 Pt 1), 2006
PMID: 16802917
Two particles with bistable coupling on a ratchet
MENCHE, Physics Letters A 359(2), 2006
Transport coherence in coupled Brownian ratchet
WANG, Physica A Statistical Mechanics and its Applications 374(1), 2007
Synthetic molecular motors and mechanical machines.
Kay ER, Leigh DA, Zerbetto F., Angew. Chem. Int. Ed. Engl. 46(1-2), 2007
PMID: 17133632
Role of interactions in ferrofluid thermal ratchets.
Becker V, Engel A., Phys Rev E Stat Nonlin Soft Matter Phys 75(3 Pt 1), 2007
PMID: 17500679
Pulsating potential ratchet
Reimann, EPL (Europhysics Letters) 78(5), 2007
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