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 study the effect of a disordered or fractal environment in the irreversible dynamics of a harmonic oscillator. Starting from a generalized Langevin equation and using Laplace analysis, we derive exact expressions for the mean values, variances, and velocity autocorrelation function of the particle in terms of generalized Mittag-Leffler functions. The long-time behaviors of these quantities are obtained and the presence of a whip-back effect is analyzed. © 2006 The American Physical Society.

Registro:

Documento: Artículo
Título:Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle
Autor:Viñales, A.D.; Despósito, M.A.
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, Argentina
Palabras clave:Fractals; Functions; Heavy ions; Laplace transforms; Oscillators (electronic); Harmonic oscillator; Irreversible dynamics; Laplace analysis; Diffusion
Año:2006
Volumen:73
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevE.73.016111
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_v73_n1_p_Vinales

Referencias:

  • Bouchaud, J.P., Georges, A., (1990) Phys. Rep., 195, p. 127. , PRPLCM 0370-1573 10.1016/0370-1573(90)90099-N
  • Wang, K.G., (1992) Phys. Rev. A, 45, p. 833. , PLRAAN 1050-2947 10.1103/PhysRevA.45.833
  • Bunde, A., Havlin, S., Klafter, J., Graff, G., Shehter, A., (1997) Phys. Rev. Lett., 78, p. 3338. , PRLTAO 0031-9007 10.1103/PhysRevLett.78.3338
  • Metzler, R., Klafter, J., (2000) Phys. Rep., 339, p. 1. , PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3
  • Amblard, F., Maggs, A.C., Yurke, B., Pargellis, A.N., Leibler, S., (1996) Phys. Rev. Lett., 77, p. 4470. , PRLTAO 0031-9007 10.1103/PhysRevLett.77.4470
  • Gu, Q., Schiff, E.A., Grebner, S., Wang, F., Schwarz, R., (1996) Phys. Rev. Lett., 76, p. 3196. , PRLTAO 0031-9007 10.1103/PhysRevLett.76.3196
  • Sciortino, F., Tartaglia, P., (1997) Physica A, 236, p. 140. , PHYADX 0378-4371 10.1016/S0378-4371(96)00402-5
  • Stephenson, J., (1995) Physica A, 222, p. 234. , PHYADX 0378-4371 10.1016/0378-4371(95)00201-4
  • Kubo, R., Toda, M., Hashitsume, N., (1985) Statistical Physics II. Non-Equilibrium Statistical Mechanics, , Springer, Berlin
  • 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
  • Viñales, A.D., Despósito, M.A., ; Risken, H., (1989) The Fokker-Plank Equation, , Springer-Verlag, Berlin
  • White, J.A., Velasco, S., (1992) Phys. Rev. A, 46, p. 1880. , PLRAAN 1050-2947 10.1103/PhysRevA.46.1880
  • Velasco, S., White, J.A., (1992) Phys. Rev. A, 46, p. 8015. , PLRAAN 1050-2947 10.1103/PhysRevA.46.8015
  • Viñales, A.D., Despósito, M.A., ; Podlubny, I., (1999) Fractional Differential Equations, , Academic Press, London
  • Erdelyi, A., (1981) Higher Transcendental Functions, 3. , Krieger, Malabar
  • Lutz, E., (2001) Phys. Rev. E, 64, p. 051106. , PLEEE8 1063-651X 10.1103/PhysRevE.64.051106
  • Kupferman, R., (2004) J. Stat. Phys., 114, p. 291. , JSTPBS 0022-4715 10.1023/B:JOSS.0000003113.22621.f0
  • Pottier, N., (2003) Physica A, 317, p. 371. , PHYADX 0378-4371 10.1016/S0378-4371(02)01361-4
  • Mainardi, F., Gorenflo, R., (2000) J. Comput. Appl. Math., 118, p. 283. , JCAMDI 0377-0427 10.1016/S0377-0427(00)00294-6
  • Muralidhar, R., (1990) Physica A, 167, p. 539. , PHYADX 0378-4371 10.1016/0378-4371(90)90132-C
  • Lutz, E., (2001) Europhys. Lett., 54, p. 293. , EULEEJ 0295-5075 10.1209/epl/i2001-00240-x

Citas:

---------- APA ----------
Viñales, A.D. & Despósito, M.A. (2006) . Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 73(1).
http://dx.doi.org/10.1103/PhysRevE.73.016111
---------- CHICAGO ----------
Viñales, A.D., Despósito, M.A. "Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 73, no. 1 (2006).
http://dx.doi.org/10.1103/PhysRevE.73.016111
---------- MLA ----------
Viñales, A.D., Despósito, M.A. "Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 73, no. 1, 2006.
http://dx.doi.org/10.1103/PhysRevE.73.016111
---------- VANCOUVER ----------
Viñales, A.D., Despósito, M.A. Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2006;73(1).
http://dx.doi.org/10.1103/PhysRevE.73.016111