Navegar

Colección

Datos Estadísticas

Artículo

La versión final de este artículo es de uso interno. El editor solo permite incluir en el repositorio el artículo en su versión post-print. Por favor, si usted la posee enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We investigate the memory effects present in the asymptotic dynamics of a classical harmonic oscillator governed by a generalized Langevin equation. Using Laplace analysis together with Tauberian theorems we derive asymptotic expressions for the mean values, variances, and velocity autocorrelation function in terms of the long-time behavior of the memory kernel and the correlation function of the random force. The internal and external noise cases are analyzed. A simple criterion to determine if the diffusion process is normal or anomalous is established. © 2008 The American Physical Society.

Registro:

Documento: Artículo
Título:Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation
Autor:Despósito, M.A.; Viñales, A.D.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Consejo Nacional de Investigaciones Científicas y Técnicas, Buenos Aires, Argentina
Palabras clave:Asymptotic analysis; Autocorrelation; Function evaluation; Laplace equation; Problem solving; Asymptotic dynamics; Harmonic oscillators; Langevin equation; Memory effects; Harmonic analysis
Año:2008
Volumen:77
Número:3
DOI: http://dx.doi.org/10.1103/PhysRevE.77.031123
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v77_n3_p_Desposito

Referencias:

  • Risken, H., (1989) The Fokker-Planck Equation, , Springer-Verlag, Berlin
  • Bouchaud, J.P., Georges, A., (1990) Phys. Rep., 195, p. 127. , For a review, see, for example, PRPLCM 0370-1573 10.1016/0370-1573(90) 90099-N
  • Metzler, R., Klafter, J., (2000) Phys. Rep., 339, p. 1. , PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3
  • Wang, K.G., Tokuyama, M., (1999) Physica A, 265, p. 341. , PHYADX 0378-4371 10.1016/S0378-4371(98)00644-X
  • Porra, J.M., Wang, K.G., Masoliver, J., (1996) Phys. Rev. e, 53, p. 5872. , PLEEE8 1063-651X 10.1103/PhysRevE.53.5872
  • Pottier, N., (2003) Physica A, 317, p. 371. , PHYADX 0378-4371 10.1016/S0378-4371(02)01361-4
  • Viñales, A.D., Despósito, M.A., (2006) Phys. Rev. e, 73, p. 016111. , PLEEE8 1063-651X 10.1103/PhysRevE.73.016111
  • Kou, S.C., Xie, X.S., (2004) Phys. Rev. Lett., 93, p. 180603. , PRLTAO 0031-9007 10.1103/PhysRevLett.93.180603
  • Min, W., Luo, G., Cherayil, B.J., Kou, S.C., Xie, X.S., (2005) Phys. Rev. Lett., 94, p. 198302. , PRLTAO 0031-9007 10.1103/PhysRevLett.94.198302
  • Chaudhury, S., Cherayil, B.J., (2006) J. Chem. Phys., 125, p. 024904. , JCPSA6 0021-9606 10.1063/1.2209231
  • Chaudhury, S., Kou, S.C., Cherayil, B.J., (2007) J. Phys. Chem. B, 111, p. 2377. , JPCBFK 1089-5647 10.1021/jp065737a
  • Bao, J.D., Zhuo, Y.Z., (2003) Phys. Rev. C, 67, p. 064606. , PRVCAN 0556-2813 10.1103/PhysRevC.67.064606
  • Kubo, R., Toda, M., Hashitsume, N., (1985) Statistical Physics II: Non-equilibrium Statistical Mechanics, , Springer, Berlin
  • Spiguel, M.R., (1965) Theory and Problems of Laplace Transform, , McGraw-Hill, New York
  • Morgado, R., Oliveira, F.A., Batrouni, G.G., Hansen, A., (2002) Phys. Rev. Lett., 89, p. 100601. , PRLTAO 0031-9007 10.1103/PhysRevLett.89.100601
  • Feller, W., (1971) An Introduction to Probability Theory and Its Applications, 2. , Wiley, New York
  • Lutz, E., (2001) Europhys. Lett., 54, p. 293. , EULEEJ 0295-5075 10.1209/epl/i2001-00240-x
  • Wang, K.G., (1992) Phys. Rev. A, 45, p. 833. , PLRAAN 1050-2947 10.1103/PhysRevA.45.833
  • Muralidhar, R., (1990) Physica A, 167, p. 539. , PHYADX 0378-4371 10.1016/0378-4371(90)90132-C
  • Viñales, A.D., Despósito, M.A., (2007) Phys. Rev. e, 75, p. 042102. , PLEEE8 1063-651X 10.1103/PhysRevE.75.042102
  • Erdelyi, A., (1981) Higher Transcendental Functions, 3. , Krieger, Malabar

Citas:

---------- APA ----------
Despósito, M.A. & Viñales, A.D. (2008) . Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 77(3).
http://dx.doi.org/10.1103/PhysRevE.77.031123
---------- CHICAGO ----------
Despósito, M.A., Viñales, A.D. "Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 77, no. 3 (2008).
http://dx.doi.org/10.1103/PhysRevE.77.031123
---------- MLA ----------
Despósito, M.A., Viñales, A.D. "Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 77, no. 3, 2008.
http://dx.doi.org/10.1103/PhysRevE.77.031123
---------- VANCOUVER ----------
Despósito, M.A., Viñales, A.D. Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2008;77(3).
http://dx.doi.org/10.1103/PhysRevE.77.031123