Laboratoire Interdisciplinaire Carnot de Bourgogne, CNRS-Université de Bourgogne, 21078 Dijon, France.
Phys Rev Lett. 2011 Dec 2;107(23):233901. doi: 10.1103/PhysRevLett.107.233901. Epub 2011 Nov 29.
The long-term behavior of a modulationally unstable nonintegrable system is known to be characterized by the soliton turbulence self-organization process: It is thermodynamically advantageous for the system to generate a large-scale coherent soliton in order to reach the ("most disordered") equilibrium state. We show that this universal process of self-organization breaks down in the presence of a highly nonlocal nonlinear response. A wave turbulence approach based on a Vlasov-like kinetic equation reveals the existence of an incoherent soliton turbulence process: It is advantageous for the system to self-organize into a large-scale, spatially localized, incoherent soliton structure.
已知，在调制不稳定的非可积系统中，其长期行为以孤子湍流自组织过程为特征：系统生成大尺度相干孤子以达到（“最无序”）平衡状态在热力学上是有利的。我们表明，在存在高度非局部非线性响应的情况下，这种普遍的自组织过程会崩溃。基于类 Vlasov 运动方程的波湍流方法揭示了非相干孤子湍流过程的存在：系统有利于自组织成大尺度、空间局域、非相干孤子结构。
