COMPUTATIONAL STUDY OF THE TRANSMISSION OF ENERGY IN A TWO-DIMENSIONAL LATTICE WITH NEAREST-NEIGHBOR INTERACTIONS

J. E. Macías-Díaz (), J. Ruiz-Ramírez () and L. A. Flores-Oropeza ()
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J. E. Macías-Díaz: Departamento de Matemáticas y Física, Universidad Autónoma de Aguascalientes, Avenida Universidad 940, Ciudad Universitaria, Aguascalientes 20100, Mexico
J. Ruiz-Ramírez: Departamento de Ingeniería Bioquímica, Universidad Autónoma de Aguascalientes, Avenida Universidad 940, Ciudad Universitaria, Aguascalientes 20100, Mexico
L. A. Flores-Oropeza: Departamento de Sistemas Electrónicos, Universidad Autónoma de Aguascalientes, Avenida Universidad 940, Ciudad Universitaria, Aguascalientes 20100, Mexico

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 12, 1933-1943

Abstract: In this work, we establish computationally the existence of the process of nonlinear supratransmission in the simplest generalization of the classical β-Fermi–Pasta–Ulam chain to two-space dimensions, subject to harmonic boundary data in one end of the Dirichlet form. Our simulations employ a finite-difference scheme with multiple properties of consistency in the domains of the solutions, the local energy density and the total energy of the system. Moreover, our results establish the presence of the phenomenon of nonlinear infratransmission or lower-transmission, thus proving the existence of a bistable region where a conducting and an insulating regimes coexist.

Keywords: Fermi–Pasta–Ulam chains; two-dimensional system; finite-difference scheme; nonlinear supratransmission; nonlinear bistability; 02.60.Lj; 05.45.-a; 63.20.Pw (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109014837

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