Non-equilibrium steady states for networks of oscillators

Non-equilibrium steady states for networks of oscillators
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振荡器网络的非平衡稳态

DOI:
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发表时间:
2017
期刊:
影响因子:
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通讯作者:
Luc Rey
Luc Rey
中科院分区:
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文献类型:
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作者:
N. Cuneo;J. Eckmann;Martin Hairer;Luc Rey

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由简谐和非简谐弹簧连接的振荡器(质量)链在不同温度下与热水浴相互作用的非平衡稳态一直是几个研究的主题。在这篇文章中,我们展示了一些结果如何推广到更复杂的网络。我们证明了非平衡平衡态的存在唯一性,并证明了系统以指数速度收敛到非平衡态。论证的基础是无穷远势的可控性和条件。
Non-equilibrium steady states for chains of oscillators (masses) connected by harmonic and anharmonic springs and interacting with heat baths at different temperatures have been the subject of several studies. In this paper, we show how some of the results extend to more complicated networks. We establish the existence and uniqueness of the non-equilibrium steady state, and show that the system converges to it at an exponential rate. The arguments are based on controllability and conditions on the potentials at infinity.
DOI: 10.1007/s10955-009-9734-0
发表时间: 2009-04-01
影响因子: 1.6
作者:
Leimkuhler, Ben;Noorizadeh, Emad;Theil, Florian
通讯作者: Theil, Florian