Ratchet for energy transport between identical reservoirs

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 5, 2002, Pages 4-

  Das, Souvik ^a   Narayan, Onuttom ^b,c   Ramaswamy, Sriram ^b  

^a UNIVERSITY OF DELHI   (India)

^b INDIAN INSTITUTE OF SCIENCE   (India)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL POTENTIAL GRADIENT; ENERGY CURRENT; ENERGY RESERVOIRS; PARTICLE TRANSPORT;

BOUNDARY CONDITIONS; DAMPING; ENERGY DISSIPATION; FUNCTIONS; KINETIC ENERGY; THERMAL CONDUCTIVITY; THERMODYNAMICS;

ENERGY TRANSFER;

ARTICLE;

EID: 37649026788     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.050103     Document Type: Article

References (19)

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3. P. Reimann, Phys. Rep. 361, 57 (2002);
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11. Phys. Rev. Lett.A.V. Savin, G.P. Tsironis, and A.V. Zolotaryuk, 88, 154301 (2002);
12. G. Casati and T. Prosen, e-print cond-mat/0203331;
13. P. Grassberger, W. Nadler, and L. Yang, e-print nlin.CD/0203019.
14. O. Narayan and S. Ramaswamy, e-print cond-mat/0205295, Phys. Rev. Lett. (to be published).
15. Advection by hydrodynamic velocity fluctuations should lead, as in Refs. 45, to J decaying slower than (Formula presented)
16. E. Longhi, N. Easwar, and N. Menon, Phys. Rev. Lett. 89, 045501 (2002).
17. The velocity distribution near the center of the chain does not approach a Gaussian for any L and (Formula presented) that we have studied, unlike for (Formula presented) chains.
18. An interparticle collision only exchanges the identity of the particles, without changing J, so the particles are effectively collisionless for computing J. Since the round trip time for a particle between the two reservoirs is (Formula presented) and there are (Formula presented) particles carrying energy between the reservoirs “in parallel,” J is L independent.
19. Scaling (Formula presented) (Formula presented) (Formula presented) [see discussion before Eq. (1)], (Formula presented) leaves the dynamics unchanged and maps the light chain to the heavy one.