Artículo

Carusela, M.F.; Fendrik, A.J.; Romanelli, L. "Induced current in quantum and classical ratchets" (2010) International Journal of Bifurcation and Chaos. 20(2):263-269
La versión final de este artículo es de uso interno de la institución.
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

In a previous work, we described transport in a classical, externally driven, overdamped ratchet. A transport current arises under two possible conditions: either by increasing the external driving or by adding an optimal amount of noise when the system operates below threshold. In this work, we study the underdamped case. In order to obtain transport it is necessary for the presence of both - a damping mechanism and the lack of symmetries in the potential. Some interesting properties were found: under particular conditions the system could be considered as a mass separation device, and for a specific range of the control parameter, the maximum Lyapunov exponent is reduced when noise is added to the system. We also study analytically and numerically the quantum analog of the same system and explore the conditions to find transport. © 2010 World Scientific Publishing Company.

Registro:

Documento: Artículo
Título:Induced current in quantum and classical ratchets
Autor:Carusela, M.F.; Fendrik, A.J.; Romanelli, L.
Filiación:Consejo Nacional de Investigaciones Cientificas y Técnicas, Buenos Aires, Argentina
Instituto de Ciencias, Universidad de General Sarmiento, J.M. Gutierrez 1150, (1613) Los Polvorines, Buenos Aires, Argentina
Depatamento de Física, J. J. Giambiaggi Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
Palabras clave:Brownian motors; Noise; Ratchets; Lyapunov methods; Brownian motors; Damping mechanisms; Maximum Lyapunov exponent; Noise; Particular condition; Ratchets; Separation devices; Transport currents; Quantum chemistry
Año:2010
Volumen:20
Número:2
Página de inicio:263
Página de fin:269
DOI: http://dx.doi.org/10.1142/S0218127410025703
Título revista:International Journal of Bifurcation and Chaos
Título revista abreviado:Int. J. Bifurcation Chaos
ISSN:02181274
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02181274_v20_n2_p263_Carusela

Referencias:

  • Dean Astumian, R., Bier, M., Fluctuation driven ratchets: Molecular motors (1994) Physical Review Letters, 72 (11), pp. 1766-1769
  • Bier, M., Brownian ratchets in physics and biology (1997) Contemporary Physics, 38 (6), pp. 371-379
  • Caldeira, A.O., Leggett, A.L., Quantum tunneling in a dissipative system (1983) Ann. Phys., 149, p. 374
  • Carlo, G.G., Benenti, G., Casati, G., Shepelyansky, D.L., Quantum ratchets in dissipative chaotic systems (2005) Physical Review Letters, 94 (16), pp. 1-4. , http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype= pdf&id=PRLTAO000094000016164101000001&idtype=cvips, DOI 10.1103/PhysRevLett.94.164101, 164101
  • Carusela, M.F., Fendrik, A.J., Romanelli, L., Transport and dynamical properties of inertial ratchets (2008) Phys. A, 388, p. 19
  • Denisov, S., Kohler, S., Hänggi, P., Underdamped quantum ratchets: Attractors and currents (2008) EPL, 85, p. 40003
  • Denisov, S., Morales-Molina, L., Flach, S., Hanggi, P., Periodically driven quantum ratchets: Symmetries and resonances (2007) Physical Review A - Atomic, Molecular, and Optical Physics, 75 (6), p. 063424. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevA.75.063424&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevA.75.063424
  • Faucheux, L.P., Bourdieu, L.S., Kaplan, P.D., Libchaber, A.J., Optical thermal ratchet (1995) Phys. Rev. Lett., 74, p. 1504
  • Fendrik, A.J., Romanelli, L., Perazzo, R.P.J., Stochastic resonance and Brownian ratchets (2006) Physica A: Statistical Mechanics and its Applications, 359 (1-4), pp. 75-84. , DOI 10.1016/j.physa.2005.04.035, PII S0378437105004425
  • Flach, S., Yevtushenko, O., Zolotaryuk, Y., Directed current due to broken time-space symmetry (2000) Phys. Rev. Lett., 84, p. 2358
  • Harmer, G.P., Abbott, D., Parrondo's paradox (1999) Stat. Sci., 14, p. 206
  • Holder, B.P., Reichl, L.E., Avoided crossings in driven systems (2005) Phys. Rev. A, 72, p. 043408
  • Jung, P., Kissner, J.G., Hänggi, P., Regular and chaotic transport in asymmetric periodic potentials: Inertia ratchets (1996) Phys. Rev. Lett., 76, p. 3436
  • Larrondo, H.A., Family, F., Arizmendi, C.M., Control of current reversal in single and multiparticle inertia ratchets (2002) Physica A: Statistical Mechanics and its Applications, 303 (1-2), pp. 67-78. , DOI 10.1016/S0378-4371(01)00485-X, PII S037843710100485X
  • Lindblad, G., On the generators of quantum dynamical semigroups (1976) Commun. Math. Phys., 48, p. 119
  • Marchesoni, F., Savel'ev, S., Nori, F., Achieving optimal rectification using underdamped rocked ratchets (2006) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 73 (2), p. 021102. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevE.73.021102&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevE.73.021102
  • Mateos, J.K., Chaotic transport and current reversal in deterministic ratchets (2000) Phys. Rev. Lett., 84, p. 258
  • Parrondo, J.M., JimenezCisneros, B., (2003) Paradoxical Games and Brownian Thermal Engines, , condmat/0309053v2
  • Popescu, M.N., Arizmendi, Salas-Brito, A.L., Family, F., Disorder induced diffusive transport in ratchets (2000) Phys. Rev. Lett., 85, p. 3321
  • Rousselet, J., Salome, L., Ajdari, A., Prost, J., Directional motion of brownian particles induced by a periodic asymmetric potential (1994) Nature, 370 (6489), pp. 446-448. , DOI 10.1038/370446a0
  • Takahashi, K., Saitô, N., Chaos and husimi distribution function in quantum mechanics (1985) Phys. Rev. Lett., 55, p. 645
  • Wolf, A., Swift, J.B., Swinney, H.L., Vastano, J.A., Determining lyapunov exponents from a time series (1984) Physica, 16, p. 285

Citas:

---------- APA ----------
Carusela, M.F., Fendrik, A.J. & Romanelli, L. (2010) . Induced current in quantum and classical ratchets. International Journal of Bifurcation and Chaos, 20(2), 263-269.
http://dx.doi.org/10.1142/S0218127410025703
---------- CHICAGO ----------
Carusela, M.F., Fendrik, A.J., Romanelli, L. "Induced current in quantum and classical ratchets" . International Journal of Bifurcation and Chaos 20, no. 2 (2010) : 263-269.
http://dx.doi.org/10.1142/S0218127410025703
---------- MLA ----------
Carusela, M.F., Fendrik, A.J., Romanelli, L. "Induced current in quantum and classical ratchets" . International Journal of Bifurcation and Chaos, vol. 20, no. 2, 2010, pp. 263-269.
http://dx.doi.org/10.1142/S0218127410025703
---------- VANCOUVER ----------
Carusela, M.F., Fendrik, A.J., Romanelli, L. Induced current in quantum and classical ratchets. Int. J. Bifurcation Chaos. 2010;20(2):263-269.
http://dx.doi.org/10.1142/S0218127410025703