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Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
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The first law of thermodynamics is quantitatively formulated via an equation relating the internal energy of a system, the heat exchanged by it, and the work done on it. A quantitative formulation of the second law of thermodynamics leads to defining a state function, the entropy.
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Bulk and Thin Film Synthesis of Compositionally Variant Entropy-stabilized Oxides
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Causal entropy bound for a spacelike region.

R Brustein1, G Veneziano

  • 1Department of Physics, Ben-Gurion University, Beer-Sheva 84105, Israel.

Physical Review Letters
|September 16, 2000
PubMed
Summary

Researchers propose a new causal entropy bound, a covariant measure for entropy in spacelike regions. This bound, which scales as sqrt[EV], offers a novel perspective compared to existing Bekenstein and holographic bounds.

Area of Science:

  • Theoretical Physics
  • Quantum Gravity
  • Information Theory

Background:

  • Existing entropy bounds, such as Bekenstein's and holographic bounds, have limitations in certain gravitational regimes.
  • The need for a covariant bound on entropy that considers causal structure is apparent.

Purpose of the Study:

  • To propose a new covariant bound on entropy within a generic spacelike region, termed the "causal entropy bound."
  • To investigate the behavior and validity of this new bound in critical situations, particularly concerning gravity.

Main Methods:

  • Derivation of a new covariant bound on entropy based on a causal-connection scale.
  • Comparative analysis of the proposed bound against Bekenstein's and holographic bounds in scenarios of limited and strong gravity.

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Main Results:

  • The proposed causal entropy bound scales as sqrt[EV], positioning it between Bekenstein's and holographic bounds geometrically.
  • In limited gravity, Bekenstein's bound is strongest, while naive holography is weakest.
  • In strong gravity, the causal entropy bound and Bousso's holographic bound are stronger than Bekenstein's; naive holography proves inadequate.

Conclusions:

  • The causal entropy bound provides a robust and covariant measure of entropy in spacelike regions.
  • This new bound offers improved accuracy and applicability, especially in strong gravitational regimes, outperforming naive holographic approaches.