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関連する概念動画

Entropy01:18

Entropy

2.6K
The first law of thermodynamics is quantitatively formulated via an equation relating the internal energy of a system, the heat exchanged by it, and the work done on it. A quantitative formulation of the second law of thermodynamics leads to defining a state function, the entropy.
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
2.6K
Entropy and the Second Law of Thermodynamics01:20

Entropy and the Second Law of Thermodynamics

2.8K
The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation  between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
2.8K
Variance01:15

Variance

9.7K
 The deviations show how spread out the data are about the mean. A positive deviation occurs when the data value exceeds the mean, whereas a negative deviation occurs when the data value is less than the mean. If the deviations are added, the sum is always zero. So one cannot simply add the deviations to get the data spread. By squaring the deviations, the numbers are made positive; thus, their sum will also be positive.
The standard deviation measures the spread in the same units as the...
9.7K
The Second Law of Thermodynamics01:14

The Second Law of Thermodynamics

5.3K
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Scientists refer to the measure of randomness or disorder within a system as entropy. High entropy means high disorder and low energy. To better understand entropy, think of a student’s bedroom. If no energy or work were put into it, the room would quickly become messy. It would exist in a very disordered state, one of high entropy. Energy must be...
5.3K
Second Law of Thermodynamics02:49

Second Law of Thermodynamics

23.8K
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Processes that involve an increase in entropy of the system (ΔS > 0) are very often spontaneous; however, examples to the contrary are plentiful. By expanding consideration of entropy changes to include the surroundings, a significant conclusion regarding the relation between this property and spontaneity may be reached. In thermodynamic...
23.8K
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

2.5K
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.
2.5K

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Updated: Jul 2, 2025

Applications of EEG Neuroimaging Data: Event-related Potentials, Spectral Power, and Multiscale Entropy
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Applications of EEG Neuroimaging Data: Event-related Potentials, Spectral Power, and Multiscale Entropy

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エントロピーの生成のための差分和法則

I Di Terlizzi1,2, M Gironella3,4, D Herraez-Aguilar5

  • 1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany.

Science (New York, N.Y.)
|February 29, 2024
PubMed
まとめ
この要約は機械生成です。

研究者らは,ナノスケールのエントロピーの生成を 変数和法で測定する新しい方法を開発した. この技術は,活性物質と生物学的細胞に適用できる,不均衡のシステムにおける不可逆性とエネルギー分散を定量化します.

さらに関連する動画

Decomposing the Variance in Reading Comprehension to Reveal the Unique and Common Effects of Language and Decoding
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Decomposing the Variance in Reading Comprehension to Reveal the Unique and Common Effects of Language and Decoding

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Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
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Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

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Last Updated: Jul 2, 2025

Applications of EEG Neuroimaging Data: Event-related Potentials, Spectral Power, and Multiscale Entropy
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Decomposing the Variance in Reading Comprehension to Reveal the Unique and Common Effects of Language and Decoding
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Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
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科学分野:

  • 非均衡の物理
  • 統計的メカニズム
  • 柔らかい物質の物理
  • バイオ物理学

背景:

  • エントロピーの生成は物理学の不可逆性と分散を定量化します エネルギー変換を理解するために重要です
  • ナノスケールでのエントロピーの生成を測定することは,非均衡システムにおける重要な課題です.
  • 既存の方法は,複雑なナノスケール現象の精度や適用性が欠けていることが多い.

研究 の 目的:

  • 不均衡の安定状態におけるエントロピー生成率 (σ) を測定するための新しい変数和規則 (VSR) を導入する.
  • 直接測定可能な力や複雑な生物学的システムに対するVSRの適用性を実証する.
  • ナノスケールでの不可逆性と分散を定量化するための新しいツールを提供すること.

主な方法:

  • 位移と力差に関する変数和規則 (VSR) の開発.
  • 光学トラップの活性ブラウン粒子にVSRを適用する.
  • 人体赤血球の微光測定を用いた実験的検証

主要な成果:

  • VSRは非均衡の安定状態でのエントロピー生成率 (σ) をうまく測定する.
  • 赤血球では有限な相関長さの空間的に異質なエントロピー生成が観察された.
  • VSRで得られた平均エントロピー生成値は,独立したカロロメトリー測定値と一致する.

結論:

  • バリアンス・サム・ルール (VSR) は,ナノスケールのエントロピー生成を測定するための実用的な方法を提供します.
  • VSRは活性物質や生物細胞を含む様々なシステムに適用できます.
  • この作業により,力スペクトロシーと時間解像度の画像を用いてエントロピーの生成を導出することができます.