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Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

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In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
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Cooperative Allosteric Transitions01:58

Cooperative Allosteric Transitions

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Cooperative Allosteric Transitions01:58

Cooperative Allosteric Transitions

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Cooperative allosteric transitions can occur in multimeric proteins, where each subunit of the protein has its own ligand-binding site. When a ligand binds to any of these subunits, it triggers a conformational change that affects the binding sites in the other subunits; this can change the affinity of the other sites for their respective ligands. The ability of the protein to change the shape of its binding site is attributed to the presence of a mix of flexible and stable segments in the...
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Cooperative Allosteric Transitions01:58

Cooperative Allosteric Transitions

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Multimachine Stability01:25

Multimachine Stability

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Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
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Nonconscious Mimicry01:13

Nonconscious Mimicry

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Nonconscious mimicry occurs when individuals alter their mannerisms to match the behaviors and expressions of those nearby, without intention.
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相关实验视频

Updated: Jan 10, 2026

Author Spotlight: Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons
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Author Spotlight: Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons

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在随机超图中,普遍的适应诱导的非通用同步过渡在随机超图中.

Sangita Dutta1, Pinaki Pal1, Chittaranjan Hens2

  • 1Department of Mathematics, National Institute of Technology, Durgapur 713209, India.

Chaos (Woodbury, N.Y.)
|November 26, 2025
PubMed
概括

我们研究了部分顺序参数适应如何影响合的库拉莫托振荡器. 不同的适应函数,包括功率定律和多项式,导致各种同步过渡,如双跳和中间状态.

科学领域:

  • 复杂的系统复杂的系统.
  • 非线性动力学是一种非线性动力学.
  • 网络科学 网络科学

背景情况:

  • 库拉莫托模型是研究合振荡器同步的标准框架.
  • 了解复杂网络中的同步过渡对于各种科学领域至关重要.
  • 超图模型提供了比对联接更广泛的互动的更一般的表示.

研究的目的:

  • 为了研究使用一般函数对振荡器同步进行部分顺序参数调整的影响.
  • 探索在随机超图上配对的库拉莫托振荡器中的同步行为,具有双向和三角相互作用.
  • 分析不同适应策略下的多种同步模式的出现.

主要方法:

  • 使用奥特-安东森的方法来导出顺序参数的自相一致方程.
  • 模拟振荡器之间的相互作用作为随机超图结构中的双向和三角.
  • 分析各种泛化的适应函数 (例如,功率定律,多项式,高斯函数) 对同步的影响.

主要成果:

  • 由于适应,功能类型和合强度的相互作用,观察到广泛的同步过渡.
  • 特别是在功率法调整函数下确定了一个双跳过渡.
  • 发现了与多项式适应和特定系数组合的中间同步状态的出现.

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Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
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Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

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相关实验视频

Last Updated: Jan 10, 2026

Author Spotlight: Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons
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Author Spotlight: Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons

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Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis
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Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
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Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

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  • 证明同步可以是连续的或爆炸性的基于对联强度的变化,也观察到高斯适应.

    • 结论:

    • 在概括形式的部分顺序参数适应显著多样化在合的库拉莫托振荡器在超图上的同步行为.
    • 适应函数的选择极大地影响了观察到的同步过渡的类型和特征.
    • 这项研究突出了高阶相互作用的系统中复杂同步现象的丰富动态和潜力.