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関連する概念動画

Short-distance Transport of Resources02:12

Short-distance Transport of Resources

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Short-distance transport refers to transport that occurs over a distance of just 2-3 cells, crossing the plasma membrane in the process. Small uncharged molecules, such as oxygen, carbon dioxide, and water, can diffuse across the plasma membrane on their own. In contrast, ions and larger molecules require the assistance of transport proteins due to their charge or size. Transport across membranes also occurs within individual cells, playing a variety of essential roles for the plant as a whole.
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Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion

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Although gaseous molecules travel at tremendous speeds (hundreds of meters per second), they collide with other gaseous molecules and travel in many different directions before reaching the desired target. At room temperature, a gaseous molecule will experience billions of collisions per second. The mean free path is the average distance a molecule travels between collisions. The mean free path increases with decreasing pressure; in general, the mean free path for a gaseous molecule will be...
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Mean free path and Mean free time01:22

Mean free path and Mean free time

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Consider the gas molecules in a cylinder. They move in a random motion as they collide with each other and change speed and direction. The average of all the path lengths between collisions is known as the "mean free path."
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Fast Decoupled and DC Powerflow01:24

Fast Decoupled and DC Powerflow

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The fast decoupled power flow method addresses contingencies in power system operations, such as generator outages or transmission line failures. This method provides quick power flow solutions, essential for real-time system adjustments. Fast decoupled power flow algorithms simplify the Jacobian matrix by neglecting certain elements, leading to two sets of decoupled equations:
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Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models00:57

Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models

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Physiological pharmacokinetic models, often called flow-limited or perfusion models, typically assume a swift drug distribution between tissue and venous blood, creating a rapid drug equilibrium. This premise is based on the idea that drug diffusion is extremely fast, and the cell membrane presents no barrier to drug permeation. In this scenario, where no drug binding occurs, the drug concentration in the tissue equals that of the venous blood leaving the tissue. This greatly simplifies the...
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Capillarity in Fluid01:19

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Capillarity describes the movement of liquid in small spaces without external forces acting on it. The capillarity is driven by surface tension and adhesive interactions between the liquid and surrounding solid surfaces. This effect is often seen in narrow tubes, porous materials, and fine particles.
Surface tension is crucial to capillarity. It results from cohesive forces between liquid molecules at the liquid-air boundary, forming a skin that resists external forces. When the capillary tube...
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Reservoir Condition Pore-scale Imaging of Multiple Fluid Phases Using X-ray Microtomography
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スケールフリーネットワークにおける最短経路の浸透.

Minsuk Kim1, Lorenzo Cirigliano2, Claudio Castellano3

  • 1Indiana University, Bloomington, Center for Complex Networks and Systems Research, Luddy School of Informatics, Computing, and Engineering, Indiana 47408, USA.

Physical review. E
|February 20, 2026
PubMed
まとめ
この要約は機械生成です。

スケールフリーネットワークにおける最短経路の浸透モデルは,エールドース-レニーのネットワークと同様に,度指数から独立した移行を示しています. これは,このプロセスが移行前にネットワーク構造を均質化するためです.

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科学分野:

  • ネットワーク科学 ネットワーク科学
  • 統計物理学 統計物理学とは
  • 複雑なシステムは,複雑なシステムです.

背景:

  • 最短経路浸透 (SPP) モデルは,資源消費とネットワークの崩壊をシミュレートします.
  • エールドース-レニィネットワーク (ERN) のSPPは,有限の予算では通常の債券の浸透で普遍性を示しますが,無限の予算ではより急激になります.

研究 の 目的:

  • ランダムなスケールフリーネットワーク (SFN) でのSPP移行を調査する.
  • SFNがERNと比べて異なる浸透行動を示すかどうかを判断する.

主な方法:

  • 大規模な数値シミュレーション.
  • 有限サイズのスケーリング分析.
  • ランダムなスケールフリーネットワークでSPPを研究し,パワー法度分布を行った.

主要な成果:

  • SFNの SPP 移行は,度指数に関係なく,ERNの SPP 移行と同一です.
  • この研究では,有限予算と無限予算のSPP普遍性クラスを区別しています.
  • SPPプロセスは,移行前のSFNの異質な構造を均一化します.

結論:

  • SFNの異質性は,SPP移行の普遍性クラスに影響を与えない.
  • SPPモデルは,異なるネットワークトポロジーにおけるネットワークトランジションの統一された理解を提供します.