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Le Chatelier's Principle: Changing Temperature

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Consistent with the law of mass action, an equilibrium stressed by a change in concentration will shift to re-establish equilibrium without any change in the value of the equilibrium constant, K. When an equilibrium shifts in response to a temperature change, however, it is re-established with a different relative composition that exhibits a different value for the equilibrium constant.
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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...
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Pool-Boiling Heat-Transfer Enhancement on Cylindrical Surfaces with Hybrid Wettable Patterns
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Heat fluctuations in chemically active systems.

Joël Mabillard1, Christoph A Weber2, Frank Jülicher1,3,4

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

Physical Review. E
|February 17, 2023
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Summary
This summary is machine-generated.

Active fluctuations in living systems, driven by chemical heat, dominate thermal fluctuations on large scales. This study provides a framework to understand these active systems and their fluctuations.

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Last Updated: Aug 9, 2025

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Area of Science:

  • Biophysics
  • Statistical Mechanics
  • Chemical Physics

Background:

  • Living cells are chemically active systems maintained out of thermal equilibrium.
  • Chemical events generate heat, leading to active fluctuations.
  • Understanding the scales of active vs. thermal fluctuations is crucial.

Purpose of the Study:

  • To formulate a theoretical framework for heat fluctuations in active systems.
  • To determine the length and time scales where active fluctuations dominate thermal fluctuations.
  • To characterize the distinct behaviors of active and thermal fluctuations.

Main Methods:

  • Development of a stochastic field theory.
  • Inclusion of Poisson white noise to model heat fluctuations.
  • Analysis of active temperature fluctuations.

Main Results:

  • Active fluctuations dominate thermal fluctuations on large length and timescales.
  • Multiple crossovers in fluctuation dominance are observed at intermediate scales.
  • The framework characterizes fluctuations in active systems.

Conclusions:

  • Active fluctuations play a significant role in non-equilibrium systems.
  • Local equilibrium can be established at specific length and timescales.
  • The study offers insights into the fundamental nature of fluctuations in active matter.