Thursday, April 25, 2013

1304.6684 (N. Upadhyaya et al.)

Solitons and thermal fluctuations in strongly nonlinear solids    [PDF]

N. Upadhyaya, A. M. Turner, V. Vitelli
We study a chain of anharmonic springs with tunable power law interactions as a minimal model to explore the propagation of strongly non-linear solitary wave excitations in a background of thermal fluctuations. By treating the solitary waves as quasi-particles, we derive an effective Langevin equation and obtain their damping rate and thermal diffusion. These analytical findings compare favorably against numerical results from a Langevin dynamic simulation. In our chains composed of two sided non-linear springs, we report the existence of an expansion solitary wave (anti-soliton) in addition to the compressive solitary waves observed for non-cohesive macroscopic particles.
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