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相关概念视频

Classification of Systems-I01:26

Classification of Systems-I

221
Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
221
Second Order systems I01:20

Second Order systems I

189
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...
189
Second Order systems II01:18

Second Order systems II

134
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.
134
Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

322
Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...
322
Energy Diagrams - II01:10

Energy Diagrams - II

4.7K
Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of the system.
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The...
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Root Loci for Positive-Feedback Systems01:23

Root Loci for Positive-Feedback Systems

148
The Hartley oscillator is a positive feedback system that sustains oscillations by feeding the output back to the input in phase, thereby reinforcing the signal. Positive feedback systems can be viewed as negative feedback systems with inverted feedback signals. In these systems, the root locus encompasses all points on the s-plane where the angle of the system transfer function equals 360 degrees.
The construction rules for the root locus in positive feedback systems are similar to those in...
148

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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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现场潜力在系统中产生复杂性,因为系统的合是无序的.

I Gershenzon1, B Lacroix-A-Chez-Toine1,2, O Raz1

  • 1Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, Israel.

Physical review letters
|June 24, 2023
PubMed
概括
此摘要是机器生成的。

添加一个弱的非线性现场电位将大大增加多体系统中关键点的数量. 这一发现为复杂系统中关键点组织提供了全面的观点.

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Last Updated: Jul 25, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
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科学领域:

  • 凝聚物质物理学 凝聚物质物理学
  • 统计力学 统计力学
  • 复杂的系统复杂的系统.

背景情况:

  • 了解多体系统的能量格局对于各种领域至关重要.
  • 无序的两体相互作用在像旋转眼镜这样的物理系统中很常见.
  • 现场潜力在塑造这些景观中的作用尚未完全理解.

研究的目的:

  • 在无序的多体系统中计算关键点的平均数 (N[over ̄]) .
  • 调查弱非线性现场潜力的对N[over ̄]的影响.
  • 提供对关键点组织的详细理解.

主要方法:

  • 分析计算平均关键点数量的分析计算.
  • 分析具有无序双体相互作用的多体系统.
  • 在模型中包含一个弱的非线性现场潜力.

主要成果:

  • 一个弱的非线性现场潜力会大大增加N[over ̄].
  • 随着系统大小的增加,N[over ̄]的增加呈指数级扩大.
  • 建立了关键点组织的完整图像.

结论:

  • 非线性现场潜力显著改变了能源景观的复杂性.
  • 结果将可解决的旋转玻璃模型扩展到更现实的场景.
  • 这些发现与玻璃系统,非线性振荡器网络和相互作用的多体系统有关.