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Related Concept Videos

Thermodynamic Systems01:06

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A thermodynamic system is a set of objects whose thermodynamic properties are of interest. The system is considered to be embedded in its surroundings or the environment. The system and its environment can exchange heat and do work on each other through a boundary that separates them. However, the immediate surroundings of the system interact with it directly and therefore have a much stronger influence on its behavior and properties.
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In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Processes that involve an increase in entropy of the system (ΔS > 0) are very often spontaneous; however, examples to the contrary are plentiful. By expanding consideration of entropy changes to include the surroundings, a significant conclusion regarding the relation between this property and spontaneity may be reached. In thermodynamic...
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The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
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In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Scientists refer to the measure of randomness or disorder within a system as entropy. High entropy means high disorder and low energy. To better understand entropy, think of a student’s bedroom. If no energy or work were put into it, the room would quickly become messy. It would exist in a very disordered state, one of high entropy. Energy must be...
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Magnetically Induced Rotating Rayleigh-Taylor Instability
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Thermodynamic Stability Implies Causality.

L Gavassino1, M Antonelli1, B Haskell1

  • 1Nicolaus Copernicus Astronomical Center, Polish Academy of Sciences, Ulica Bartycka 18, 00-716 Warsaw, Poland.

Physical Review Letters
|January 21, 2022
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Summary
This summary is machine-generated.

Relativistic hydrodynamic theories are stable only if they are causal. This study proves that acausal theories are thermodynamically unstable, linking entropy, information, and causality in relativistic hydrodynamics.

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Area of Science:

  • Relativistic hydrodynamics
  • Thermodynamics
  • Information theory

Background:

  • The stability of relativistic hydrodynamic theories is crucial for accurate physical modeling.
  • Previous work suggests a link between thermodynamic stability and causality, but a direct proof was lacking.
  • Entropy maximization in equilibrium is a key principle in statistical mechanics.

Purpose of the Study:

  • To prove that stable relativistic hydrodynamic theories must be causal.
  • To elucidate the fundamental connection between thermodynamic stability and causality.
  • To generalize existing conservation theorems to include finite temperature and chemical potential.

Main Methods:

  • A simple geometrical argument was employed.
  • The study focused on the entropic criterion for stability (entropy maximization in equilibrium).
  • Analysis of localized perturbations within the relativistic hydrodynamic framework.

Main Results:

  • A direct proof demonstrating that stable relativistic hydrodynamic theories are necessarily causal.
  • Acausal theories are shown to be thermodynamically unstable near equilibrium.
  • The deep connection between stability and causality is attributed to the relationship between entropy and information.

Conclusions:

  • Acausality in relativistic hydrodynamics implies thermodynamic instability.
  • The findings establish a fundamental link between information, entropy, and causality.
  • The results generalize the Hawking-Ellis vacuum conservation theorem to broader thermodynamic conditions.