アクティブなアンデュレーターのオーブリー・アンドレ局所化移行
Christopher J Pierce1, Tianyu Wang1,2,3, Dmitri Kalinin1
1School of Physics, College of Sciences, Georgia Institute of Technology, Atlanta, GA 30332.
まとめ
蛇のようなロボットは,量子波の局所化に似ているように,無周期的な障害物フィールドに閉じ込められます. これは,古典的な現象と量子波の局所化現象の間の驚くべきリンクを明らかにします.
科学分野:
- 物理 物理学 物理学とは
- ロボット工学 ロボット工学 ロボット工学
- 複雑なシステム 複雑なシステム
背景:
- 複雑な環境での変形可能で自己推進する物体の輸送は十分に理解されていません.
- 前述の波の局所化に関する研究は,不規則なポテンシャルにおける理論的枠組みを提供している.
研究 の 目的:
- ヘビのようなロボットの動きを異質な環境を通して調査する.
- 古典的な活性物質輸送と量子波の局所化現象の関連性を探求する.
主な方法:
- 障害物の配列をナビゲートするヘビのようなロボットの実験研究.
- 抵抗力理論を用いた計算シミュレーションと理論モデリング.
- オブリー・アンドレ (AA) 潜在力とアンダーソンの局所化モデルとの比較.
主要な成果:
- ロボットは周期的な障害物の配列を通過しますが,十分に非周期的な配列に閉じ込められます.
- ロボット位置の指数分布によって特徴づけられる,観察された局所化移行.
- 自己推進モルクの変動に関連した移行.
結論:
- 周期的でない風景は,活発で変形可能な物体の輸送を妨げる可能性があります.
- 量子波の局所化と古典的な活性物質の輸送の間に,予期せぬ類似性が存在する.
- この発見は,量子力学,古典力学,活性物質物理学の架け橋となる.
関連する概念動画
01:11Atomic Nuclei: Larmor Precession Frequency
3.2K
The earth's gravitational field produces a 'twisting force' perpendicular to the angular momentum of a spinning mass (such as a spinning top) that causes the mass to 'wobble' around the gravitational field axis in a phenomenon called precession. Similarly, the magnetic moment (μ) of a spinning nucleus precesses due to an external magnetic field directed along the z-axis. The precession of the magnetic moment vector about the magnetic field is called Larmor precession,...
3.2K
01:44Termination of Translation
6.8K
6.8K
01:44Termination of Translation
28.1K
The large ribosomal subunit has several important structures essential to translation. These include the peptidyl transferase center (PTC) - which is the site where the peptide bond is formed - and a large, internal, water-filled tube through which the nascent polypeptide moves. This latter structure is called the Peptide Exit Tunnel, and it begins at the PTC and spans the body of the large ribosomal subunit. During translation, as the nascent polypeptide chain is synthesized, it passes through...
28.1K
01:20Region of Convergence of Laplace Tarnsform
1.3K
The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This...
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This...
1.3K
01:26Linearization and Approximation
85
Linearization is a mathematical technique used to approximate complex, nonlinear functions with simpler linear models in the vicinity of a chosen reference point. The method is based on the idea that, although a function may be difficult to evaluate exactly, its behavior near a specific input value can often be closely approximated by the tangent line at that point. This approach is particularly useful when small deviations from a known value are involved.Consider the square root function, for...
85
01:26Transmission-Line Differential Equations
1.0K
Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured from...
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured from...
1.0K