Rosas Alexandre, Romero Aldo H, Nesterenko Vitali F, Lindenberg Katja
Departamento de Física, Universidade Federal da Paraíba, João Pessoa, Caixa Postal 5008-CEP 58.059-970, Paraíba, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Nov;78(5 Pt 1):051303. doi: 10.1103/PhysRevE.78.051303. Epub 2008 Nov 12.
We study the energy decay properties of a pulse propagating in a strongly nonlinear granular chain with damping proportional to the relative velocity of the grains. We observe a wave disturbance that at low viscosities consists of two parts exhibiting two entirely different time scales of dissipation. One part is an attenuating solitary wave, dominated by discreteness and nonlinearity effects as in a dissipationless chain, and has the shorter lifetime. The other is a purely dissipative shocklike structure with a much longer lifetime and exists only in the presence of dissipation. The range of viscosities and initial configurations that lead to this complex wave disturbance are explored.
