Abstract:
An asymptotic expression (for large times) is obtained for the propagation function of a particle that wanders on a two-dimensional lattice with random traps . The density of traps is
assumed low but perturbation theory cannot be applied because of the nonanalytic dependence
of the absorption coefficient on the trap density.
\Bibitem{Rya72}
\by G.~V.~Ryazanov
\paper Random walks on a flat lattice with traps
\jour TMF
\yr 1972
\vol 10
\issue 2
\pages 271--274
\mathnet{http://mi.mathnet.ru/tmf2721}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 10
\issue 2
\pages 181--183
\crossref{https://doi.org/10.1007/BF01090731}
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This publication is cited in the following 15 articles:
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V. E. Arkhincheev, “Universal Temporal Dependence of Survival Probability for Diffusing Particles in Multidimensional Media with Absorbing Traps in an Electric Field”, J. Exp. Theor. Phys., 130:1 (2020), 82
V. E. Arkhincheev, “Temporal Asymptotic Form of the Survival Probability in the Effective Medium Approximation for Trapping of Particles in Media with Anomalous Diffusion”, J. Exp. Theor. Phys., 131:2 (2020), 280
V. E. Arkhincheev, “New Temporal Asymptotics of the Survival Probability in the Capture of Particles in Traps in Media with Anomalous Diffusion”, J. Exp. Theor. Phys., 131:5 (2020), 741
V. E. Arkhincheev, “Scaling in the Problem of Capture of Diffusing Particles in Absorbing Traps in an Electric Field”, J. Exp. Theor. Phys., 128:1 (2019), 166
V. E. Arkhincheev, “On the Influence of Magnetic Field on the Probability of Diffusing Particle Capture by Absorbing Traps”, J. Exp. Theor. Phys., 128:3 (2019), 485
V.E. Arkhincheev, “The calculation of effective three-dimensional diffusion coefficient from survival probability asymptotic at anisotropic diffusion in medium with absorbing traps”, Physica A: Statistical Mechanics and its Applications, 518 (2019), 343
V. E. Arkhincheev, “Effect of drift on the temporal asymptotic form of the particle survival probability in media with absorbing traps”, J. Exp. Theor. Phys., 124:2 (2017), 275
V. E. Arkhincheev, “Anisotropic diffusion in media with absorbing traps (application to the Keller–Dykhne theorem)”, J. Exp. Theor. Phys., 125:5 (2017), 822
Fabrizio Cleri, “Ballistic to diffusive transition in a two-dimensional quantum dot lattice”, Phys. Rev. B, 92:21 (2015)
B.Ya. Balagurov, G.A. Vinogradov, “Thermal conduction of composites with needle-shaped inclusions”, Composites Part A: Applied Science and Manufacturing, 37:10 (2006), 1805
C. Monthus, G. Oshanin, A. Comtet, S. F. Burlatsky, “Sample-size dependence of the ground-state energy in a one-dimensional localization problem”, Phys. Rev. E, 54:1 (1996), 231
A. S. Dolgov, V. N. Ostroushko, “Migration of particles in an inhomogeneous medium”, Soviet Physics Journal, 23:7 (1980), 555
A. S. Dolgov, “Random walk in distorted crystal structure”, Soviet Physics Journal, 21:2 (1978), 232
A. S. Dolgov, “Correlated migrations in a one-dimensional lattice”, Soviet Physics Journal, 18:10 (1975), 1394
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