Frenkel-Kontorova models, pinned particle configurations, and Burgers shocks

Muhittin Mungan; Cem Yolcu

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Frenkel-Kontorova models, pinned particle configurations, and Burgers shocks

机译：Frenkel-Kontorova模型，固定粒子配置和Burgers冲击

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We analyze the relationship between the lowest energy configurations of an infinite harmonic chain of particles in a periodic potential and the evolution of characteristics in a periodically forced inviscid Burgers equation. The shock discontinuities in the Burgers evolution arise from thermodynamical considerations and play an important role as they separate out flows related to lowest energy configurations from those associated with higher energies. We study in detail the exactly solvable case of an external potential consisting of parabolic segments, and calculate analytically the lowest energy configurations, as well as excited states containing discommensurations.

机译：我们分析了周期性势中的粒子无限谐波链的最低能级构型与周期性强迫无粘性Burgers方程的特征演化之间的关系。 Burgers演化中的冲击不连续性是由于热力学因素引起的，并且起着重要的作用，因为它们将与最低能量配置有关的流动与与较高能量相关的流动分开了。我们详细研究了由抛物线形部分组成的外部势的可解情况，并分析计算出最低的能量构型以及包含不平衡现象的激发态。

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《Physical review》 |2010年第22期|P.224116.1-224116.19|共19页
作者
Muhittin Mungan; Cem Yolcu;
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作者单位

Department of Physics, Faculty of Arts and Sciences, Bogazici University, 34342 Bebek, Istanbul, Turkey The Feza Gursey Institute, P.O. Box 6, 34680 Cengelkoey, Istanbul, Turkey;

rnDepartment of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA;

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正文语种 eng
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commensurate-incommensurate transitions; singularity theory; nonlinear dynamics and nonlinear dynamical systems; structures and organization in complex systems;

机译：相称的过渡;奇点理论非线性动力学和非线性动力学系统;复杂系统中的结构和组织;

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1. Equilibrium Configurations for Generalized Frenkel-Kontorova Models on Quasicrystals [J] . Trevino Rodrigo Communications in Mathematical Physics . 2019,第1期

机译：QuasicryStals上广义Frenkel-Kontorova模型的平衡配置
2. Calibrated Configurations for Frenkel-Kontorova Type Models in Almost Periodic Environments [J] . Garibaldi Eduardo, Petite Samuel, Thieullen Philippe Journal of Turbulence . 2017,第9期

机译：在几乎定期环境中校准Frenkel-Kontorova型号的配置
3. Calibrated Configurations for Frenkel-Kontorova Type Models in Almost Periodic Environments [J] . Garibaldi Eduardo, Petite Samuel, Thieullen Philippe Annales Henri Poincare . 2017,第9期

机译：在几乎定期环境中校准Frenkel-Kontorova型号的配置
4. Modified Burgers' equation resulting from a hydrodynamic model of shock waves with reflected particles [C] . R. H. Burrows, G. P. Zank, B. Dasgupta, International Astrophysics Conference . 2010

机译：由反射粒子的冲击波流体动力学模型产生的修改汉堡等式
5. Forward and inverse wave propagation computer models for configurations with multiple particles [D] . Dworzak, Bradley 2015

机译：正向和反向波传播计算机模型，用于具有多个粒子的配置
6. Magnetic pumping model for energizing superthermal particles applied to observations of the Earths bow shock [O] . E. Lichko, J. Egedal -1

机译：用于激励超热粒子的磁力抽运模型用于观测地球的弓激波
7. Frenkel-Kontorova Models, Pinned Particle Configurations and Burgers Shocks [O] . Mungan Muhittin, Yolcu Cem 2010

机译：Frenkel-Kontorova模型，固定粒子配置和汉堡冲击
8. Frenkel-Kontorova Model with Nonconvex Interparticle Interactions [R] . Marianer, S. , Bishop, A. R. , Pouget, J. 1987

机译：具有非凸粒间相互作用的Frenkel-Kontorova模型

Frenkel-Kontorova models, pinned particle configurations, and Burgers shocks

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