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Calculation of Electric Flux01:25

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Consider the electric field of an oppositely charged, parallel-plate system and an imaginary box between those plates. Let the bottom face of the box be ABCD, and the top face be FGHK. The electric field between the plates is uniform and points from the positive plate toward the negative plate. The calculation of this field's flux through the box's various faces shows that the net flux through the box is zero. Why does the flux cancel out here?
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The concept of flux describes how much of something goes through a given area. More formally, it is the dot product of a vector field within an area. For a better understanding, consider an open rectangular surface with a small area that is placed in a uniform electric field. The larger the area, the more field lines go through it and, hence, the greater the flux; similarly, the stronger the electric field (represented by a greater density of lines), the greater the flux. On the other hand, if...
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In Situ Measurement of Vacuum Window Birefringence using 25Mg+ Fluorescence
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Published on: June 13, 2020

Fluctuation theorems for continuously monitored quantum fluxes.

Michele Campisi1, Peter Talkner, Peter Hänggi

  • 1Institute of Physics, University of Augsburg, Universitätsstrasse 1, D-86135 Augsburg, Germany.

Physical Review Letters
|January 15, 2011
PubMed
Summary

Quantum fluctuation theorems are robust against measurements performed during force protocols. Probabilities change, but their ratio remains constant, enabling new experimental approaches.

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Area of Science:

  • Quantum physics
  • Statistical mechanics

Background:

  • Quantum fluctuation theorems are crucial for understanding non-equilibrium systems.
  • Current theories often rely on discrete measurements at the start and end of protocols.

Purpose of the Study:

  • To investigate the impact of intermediate measurements on quantum fluctuation theorems.
  • To reconcile theoretical predictions with experimental realities involving continuous monitoring.

Main Methods:

  • Theoretical analysis of quantum fluctuation theorems under measurement.
  • Examining how probabilities are altered by performing measurements during a force protocol.

Main Results:

  • Quantum fluctuation theorems are invariant to the number and type of observables measured during a protocol.
  • Intermediate measurements alter forward and backward probabilities but not their ratio.

Conclusions:

  • This invariance allows for the description of flux measurements.
  • Bridges the gap between discrete measurement theories and continuous monitoring experiments.