局部顺序控制了在非互惠的伊辛格模型中振荡的开始
Kristian Blom1, Uwe Thiele2,3,4, Aljaž Godec1
1Max Planck Institute for Multidisciplinary Sciences, Mathematical bioPhysics group, 37077 Göttingen, Germany.
Physical review. E
|March 19, 2025
概括
我们揭示了非互惠的伊辛格模型中的关键相关性如何驱动全球秩序振荡,维持本地秩序. 这导致了新的不平衡陷入状态和失去了ergodic行为.
科学领域:
- 统计物理 统计物理
- 复杂的系统复杂的系统.
- 凝聚物质理论 凝聚物质理论
背景情况:
- 非互惠的伊辛格模型是研究有定向相互作用的系统的基本框架.
- 了解这种模型中的不平衡动态和新出现的现象对于复杂系统研究至关重要.
- 以前的研究通常依赖于平均场近似,限制了对微观行为的洞察力.
研究的目的:
- 在格劳伯动力学下的非互惠的伊辛格模型中阐明局部和全球秩序的通用分支行为.
- 提供超出平均场近似的全面显微观理解.
- 识别驱动振荡和陷入状态等新兴现象的机制.
主要方法:
- 在格劳伯动力学下演变的非互惠的伊辛格模型的分析.
- 调查关键的近邻相关性,控制顺序动态.
- 识别导致不平衡现象的-节点-无限期分叉.
主要成果:
- 关键的近邻相关性被证明是由于丧而导致全球秩序的连贯振荡.
- 在振荡过程中,局部秩序被保留,这表明了复杂的时空相关性.
- 长寿状态在强相互作用模式中出现,其居住时间不同,形成有序的不平衡陷入状态,并丧失了对象的行为.
结论:
- 这项研究提供了对非互惠的伊辛格模型复杂动态的详细的微观理解.
- 非互惠的相互作用和挫折会导致丰富的新兴行为,包括振荡和非ergodic状态.
- 这些发现提供了对不平衡统计力学中秩序和混乱的基本原则的见解.
相关概念视频
01:04Oscillations about an Equilibrium Position
5.2K
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so...
5.2K
01:30Oscillations In An LC Circuit
2.1K
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
2.1K
01:07Damped Oscillations
5.6K
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Although friction and other non-conservative...
5.6K
01:06Forced Oscillations
6.5K
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
6.5K
01:18Second Order systems II
75
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
75
01:20Second Order systems I
124
A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
By reinterpreting the system, one can derive the closed-loop transfer function, which...
By reinterpreting the system, one can derive the closed-loop transfer function, which...
124