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相关概念视频

Thermal expansion and Thermal stress: Problem Solving01:27

Thermal expansion and Thermal stress: Problem Solving

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San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55...
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Implicit Differentiation: Problem Solving01:29

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Curves defined implicitly, where variables cannot be separated algebraically, require specialized techniques for analysis. The conchoid of Nicomedes exemplifies such a case. Its equation links x and y in a way that prevents isolation of one variable, making implicit differentiation essential to determine the slope and behavior at any point on the curve.The implicit form of the conchoid can be expressed as:To differentiate this equation, y is treated as a function of x, and the chain rule is...
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In convection, thermal energy is carried by the large-scale flow of matter. Ocean currents and large-scale atmospheric circulation, which result from the buoyancy of warm air and water, transfer hot air from the tropics toward the poles and cold air from the poles toward the tropics. The Earth’s rotation interacts with those flows, causing the observed eastward flow of air in the temperate zones. Convection dominates heat transfer by air, and the amount of available space for the airflow...
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Mechanisms of Heat Transfer I

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Just as interesting as the effects of heat transfer on a system are the methods by which the heat transfer occur. Whenever there is a temperature difference, heat transfer occurs. It may occur rapidly, such as through a cooking pan, or slowly, such as through the walls of a picnic ice box. So many processes involve heat transfer that it is hard to imagine a situation where no heat transfer occurs. Yet, every heat transfer takes place by only three methods: conduction, convection, and radiation.
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Control Volume and System Representations01:16

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Two key frameworks are employed to analyze mass, energy, and momentum transfer: the control volume approach and the system approach. These frameworks offer different perspectives, depending on whether the focus is on a specific region in space (control volume approach) or a defined mass of fluid (system approach).
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Mechanism of heat transfer

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Understanding heat transfer mechanisms is essential for understanding how our bodies maintain balance in different environmental conditions. When the environment is thermoneutral, the body is in a state of balance, neither using nor releasing energy to maintain its core temperature. However, when the environment is not thermoneutral, the body employs four heat transfer mechanisms to maintain homeostasis: conduction, convection, evaporation, and radiation. These mechanisms facilitate heat...
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相关实验视频

Updated: Jan 14, 2026

Characterization of Thermal Transport in One-dimensional Solid Materials
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Characterization of Thermal Transport in One-dimensional Solid Materials

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对散热热环境的显式和隐式离散化策略进行比较.

Xinxian Chen1, Ignacio Franco1,2,3

  • 1Department of Chemistry, University of Rochester, Rochester, New York 14627, USA.

The Journal of chemical physics
|January 13, 2026
PubMed
概括

模拟开放量子系统使用树张量网络等级运动方程 (TTN-HEOM) 方法比多层多配置时间依赖的哈特树 (ML-MCTDH) 更有效. TTN-HEOM在捕捉消散动态方面表现出色,辅助模式较少.

科学领域:

  • 量子力学就是量子力学.
  • 计算化学是一种计算化学.
  • 理论物理学的理论物理.

背景情况:

  • 模拟开放量子系统对于理解复杂的分子过程至关重要.
  • 分散式浴室显著影响量子系统动态.
  • 需要精确的模拟方法来捕捉这些效应.

研究的目的:

  • 为了比较模拟开放量子系统的显式 (ML-MCTDH) 和隐式 (TTN-HEOM) 方法的效率和准确性.
  • 为不同类型的消散浴和量子动力学确定最适合的方法.
  • 评估TENSO包在实施这些模拟策略方面的表现.

主要方法:

  • 使用多层多配置时间依赖的哈特树 (ML-MCTDH) 进行基于明确波函数的离散化.
  • 基于隐式密度矩阵的主方程方法,使用树张量网络运动等级方程 (TTN-HEOM).
  • 在TENSO计算包中实现和比较.

主要成果:

  • TTN-HEOM证明了散热浴的卓越效率,具有指数级衰减的相关函数.
  • 像ML-MCTDH这样的明确方法需要对连续浴进行广泛的离散,导致计算瓶.
  • TTN-HEOM准确地捕捉了使用较少辅助模式的消散动态,而ML-MCTDH在纯脱相模式中是准确的.

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结论:

  • 隐式TTN-HEOM方法比显式ML-MCTDH在模拟与某些散热浴相结合的开放量子系统方面更有效.
  • 模拟方法的选择取决于浴室的特性和正在研究的特定量子动力学.
  • 该TENSO包为实施和比较这些先进的模拟技术提供了一个统一的框架.