Molecular motor that never steps backwards

Physical Review Letters

Volumn 85, Issue 3, 2000, Pages 491-494

  Porto, Markus ^a   Urbakh, Michael ^a   Klafter, Joseph ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; MOLECULAR DYNAMICS; MOLECULAR STRUCTURE;

MOLECULAR MOTORS;

MOLECULAR PHYSICS;

EID: 0034229965     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.491     Document Type: Article

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33. Since we do not require the potential Π(x) to be differentiable, we do not assume the derivation to have two roots ∂Π(x)/∂x = 0, but two sign changes.
34. If both potentials Π(x) and Π′(x) are spatially symmetric the total potential V(x,γ) loses its ratchet character. Because of the unbroken spatial symmetry, either no transport occurs for both γ̇ < 0 and γ̇ > 0 or symmetric transport is observed in both directions, ẋ < 0 for γ̇ < 0 and ẋ > 0 for γ̇ > 0.
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