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Related Concept Videos

Phase Transitions02:31

Phase Transitions

Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to occupy...
Phase Transitions01:21

Phase Transitions

A phase transition is the process in which a substance changes from one state of matter to another, like from a solid to a liquid, liquid to gas, or vice versa, at a specific temperature and under given pressure conditions. This change is spontaneous and is affected by alterations in temperature and pressure. These parameters impact the strength of the forces between molecules (intermolecular forces) in the substance.During a phase transition, both the initial and final phases of the substance...
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When a fluid is in constant acceleration, the pressure and buoyant force equations are modified. Suppose a beaker is placed in an elevator accelerating upward with a constant acceleration, a. In the beaker, assume there is a thin cylinder of height h with an infinitesimal cross-sectional area, ΔS.
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
Rapidly Varying Flow01:24

Rapidly Varying Flow

Rapidly varying flow (RVF) in open channels is characterized by abrupt changes in flow depth over a short distance, with the rate of depth change relative to distance often approaching unity. These flows are inherently complex due to their transient and multi-dimensional nature, making exact analysis difficult. However, approximate solutions using simplified models provide valuable insights into their behavior.Key Features of Rapidly Varying FlowRVF is commonly observed in scenarios involving...
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Phase Transitions: Vaporization and Condensation

The physical form of a substance changes on changing its temperature. For example, raising the temperature of a liquid causes the liquid to vaporize (convert into vapor). The process is called vaporization—a surface phenomenon. Vaporization occurs when the thermal motion of the molecules overcome the intermolecular forces, and the molecules (at the surface) escape into the gaseous state. When a liquid vaporizes in a closed container, gas molecules cannot escape. As these gas phase molecules...
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Phase transitions play an important theoretical and practical role in the study of heat flow. In melting or fusion, a solid turns into a liquid; the opposite process is freezing. In evaporation, a liquid turns into a gas; the opposite process is condensation.
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Fast simulation of a kolmogorov phase screen.

C M Harding1, R A Johnston, R G Lane

  • 1Department of Electrical and Electronic Engineering, University of Canterbury, Private Bag 4800, Christchurch, New Zealand.

Applied Optics
|March 6, 2008
PubMed
Summary

This study formalizes and enhances a method for modeling Kolmogorov phase fluctuations. The improved technique efficiently generates high-resolution phase screens for finite apertures using randomized interpolation.

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Area of Science:

  • Optics
  • Atmospheric Physics
  • Computational Science

Background:

  • Kolmogorov phase fluctuations impact optical systems, particularly over finite apertures.
  • Accurate modeling of these fluctuations is crucial for adaptive optics and remote sensing.
  • Existing methods may have limitations in computational efficiency or resolution.

Purpose of the Study:

  • To formalize and improve a previously presented method for modeling Kolmogorov phase fluctuations.
  • To enhance the efficiency and accuracy of generating Kolmogorov phase screens.
  • To provide a computationally tractable approach for simulating atmospheric turbulence effects.

Main Methods:

  • The method involves creating an initial low-resolution Kolmogorov phase screen via covariance factorization.
  • Randomized interpolation is employed to increase the screen's resolution to the desired size.
  • The computational complexity is analyzed and shown to be asymptotically proportional to the number of points.

Main Results:

  • The formalized method provides a robust framework for Kolmogorov phase screen generation.
  • The randomized interpolation technique effectively increases phase screen resolution.
  • The computational cost scales favorably with the number of points in the phase screen.

Conclusions:

  • The enhanced method offers an efficient and accurate way to model Kolmogorov phase fluctuations over finite apertures.
  • This approach is valuable for simulations in adaptive optics and other fields affected by atmospheric turbulence.
  • The computational efficiency makes it suitable for large-scale simulations.