Long-Range Random Walks on Energetically Disordered Lattices

Author

B. D. Bookout
Paul Ernest Parris, Missouri University of Science and TechnologyFollow

Abstract

Although the master equation describing long-range random walks on an energetically disordered lattice is governed by a nonsymmetric transition matrix W, it may be mapped through a similarity transform onto an imaginary-time Schrödinger equation governed by a Hermitian (Hamiltonian) operator H₀ having a nondegenerate ground state. Under this mapping the diffusion constant D can be expressed in terms of the exact ground state energy of operators that are infinitesimally perturbed from H₀.

Recommended Citation

B. D. Bookout and P. E. Parris, "Long-Range Random Walks on Energetically Disordered Lattices," Physical Review Letters, vol. 71, no. 1, pp. 16 - 19, American Physical Society (APS), Jul 1993.

The definitive version is available at https://doi.org/10.1103/PhysRevLett.71.16

Department(s)

Physics

International Standard Serial Number (ISSN)

0031-9007

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 1993 American Physical Society (APS), All rights reserved.

Publication Date

01 Jul 1993