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Related Concept Videos

First Law of Thermodynamics01:17

First Law of Thermodynamics

A change in the internal energy of a system depends on the the net heat transfer into the system and the net work done by the system. The first law of thermodynamics, which is a generalized form of energy conservation, relates these three quantities mathematically. It states that the change in the internal energy equals the difference between the heat transfer and work done by the system.
The applied heat increases the internal energy of a system. Hence, conventionally heat is considered...
First Law of Thermodynamics00:37

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The First Law of Thermodynamics states that energy cannot be created or destroyed, only transformed. This can be demonstrated within a classic food web where light energy from the sun is harnessed as radiant energy by plants, converted into chemical energy, and stored as complex carbohydrates. The vegetation is then consumed by animals and during the digestion process, the sugars release energy as heat. The sugars also produce chemical energy that either gets used up doing work, stored in...
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Thermodynamic Systems01:06

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Second Law of Thermodynamics00:53

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The Second Law of Thermodynamics states that entropy, or the amount of disorder in a system, increases each time energy is transferred or transformed. Each energy transfer results in a certain amount of energy that is lost—usually in the form of heat—that increases the disorder of the surroundings. This can also be demonstrated in a classic food web. Herbivores harvest chemical energy from plants and release heat and carbon dioxide into the environment. Carnivores harvest the chemical energy...
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Studying the Effects of Temperature on the Nucleation and Growth of Nanoparticles by Liquid-Cell Transmission Electron Microscopy
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Yang-Yang thermodynamics on an atom chip.

A H van Amerongen1, J J P van Es, P Wicke

  • 1Van der Waals-Zeeman Institute, University of Amsterdam, Valckenierstraat 65-67, 1018 XE Amsterdam, The Netherlands.

Physical Review Letters
|March 21, 2008
PubMed
Summary
This summary is machine-generated.

We studied a Bose gas in a trap and found its density profiles match exact theoretical models. This approach accurately describes the gas behavior where approximations fail.

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Area of Science:

  • Atomic, Molecular, and Optical Physics
  • Quantum Gases
  • Thermodynamics

Background:

  • Investigating the properties of Bose-Einstein condensates and ultracold gases is crucial for understanding quantum mechanics.
  • Nearly one-dimensional Bose gases offer a unique system to test theoretical models due to reduced dimensionality.

Purpose of the Study:

  • To investigate the behavior of a weakly interacting, nearly one-dimensional trapped Bose gas at finite temperatures.
  • To validate theoretical models against experimental observations in a challenging regime.

Main Methods:

  • In situ measurements of spatial density profiles.
  • Application of the Yang-Yang thermodynamic formalism for exact solutions.
  • Bose-gas focusing technique to probe axial momentum distribution.

Main Results:

  • Spatial density profiles were accurately described by the Yang-Yang thermodynamic model.
  • The model succeeded in a regime where approximate theoretical approaches failed.
  • Axial momentum distribution measurements showed good agreement with in situ results.

Conclusions:

  • The Yang-Yang thermodynamic formalism provides an accurate description of weakly interacting nearly one-dimensional Bose gases at finite temperatures.
  • Exact solutions are superior to approximate methods in this specific experimental regime.
  • Experimental techniques like Bose-gas focusing are effective for validating theoretical predictions.