MODE LOCKING IN DISCRETE SOLITON DYNAMICS UNDER AC FORCES
MODE LOCKING IN DISCRETE SOLITON DYNAMICS UNDER AC FORCES
复制标题
交流力下离散孤子动力学的模式锁定
DOI：
10.1103/physrevb.56.87
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发表时间：
1997
影响因子：
3.7
通讯作者：
A. Sánchez
中科院分区：
文献类型：
--
作者：
P. J. Martínez;F. Falo;J. Mazo;L. Floría;A. Sánchez
我们在这里提出的分析参数和数值证据的存在净定向运动的高度离散的正弦-戈登扭结下交流力的零平均。我们也描述了在这些情况下的振荡扭结的脱钉，并分析了锁相运行的解决方案的不稳定机制。可能的实验相关性，这种现象在圆形阵列的约瑟夫森结进行了讨论。@S0163-1829~97！02726-4#离散sine-Gordon方程~Frenkel-Kontorova模型！出现作为各种凝聚态物理系统的数学描述，如电荷或自旋！密度波，超导约瑟夫森结的阵列~JJA's！，晶体位错，磁和铁电系统中的畴壁等。这种普遍性并不令人惊讶，因为它以抽象的方式描述了由周期性衬底势调制的离散弹性介质，这是凝聚态物理学中的一个典型概念。因此，研究的Frenkel-Kontorova ~FK！模型提供了许多洞察力的物理后果的长度和时间尺度com
We present here analytical arguments and numerical evidence for the existence of net directional motion of highly discrete sine-Gordon kinks under ac forces of zero average. We have also characterized the depinning of the oscillating kink under those circumstances, and analyzed the instability mechanisms of the phase-locked running solutions. Possible experimental relevance of this phenomenon in circular arrays of Josephson junctions is discussed. @S0163-1829~97!02726-4# The discrete sine-Gordon equation ~Frenkel-Kontorova model! appears as a mathematical description of various condensed-matter physical systems such as charge ~or spin! density waves, arrays of superconducting Josephson junctions ~JJA’s !, crystal dislocations, domain walls in magnetic and ferroelectric systems, etc. This ubiquity is not surprising for it describes, in an abstract way, a discrete elastic medium modulated by a periodic substrate potential, a paradigmatic notion in condensed-matter physics. As such, the study of the Frenkel-Kontorova ~FK! model has provided much insight into the physical consequences of length and time scale com