Solitons and thermal fluctuations in strongly nonlinear solids
| Autor: | Nitin Upadhyaya, Ari Turner, Vincenzo Vitelli |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Physics
Anharmonicity Thermal fluctuations FOS: Physical sciences Disordered Systems and Neural Networks (cond-mat.dis-nn) Pattern Formation and Solitons (nlin.PS) Condensed Matter - Soft Condensed Matter Condensed Matter - Disordered Systems and Neural Networks Thermal diffusivity Nonlinear Sciences - Pattern Formation and Solitons Power law Dynamic simulation Langevin equation Nonlinear system Classical mechanics Quasiparticle Soft Condensed Matter (cond-mat.soft) Nonlinear Sciences::Pattern Formation and Solitons |
| Zdroj: | Physical Review E Physical Review E, 88(5), 052906 |
| DOI: | 10.48550/arxiv.1304.6684 |
| Popis: | 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. Comment: 6 pages, 4 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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