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Related Concept Videos

Entropy01:18

Entropy

2.7K
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.
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
2.7K
Third Law of Thermodynamics02:38

Third Law of Thermodynamics

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A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.
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Entropy and the Second Law of Thermodynamics01:20

Entropy and the Second Law of Thermodynamics

3.0K
The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation  between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
3.0K
Entropy and Solvation02:05

Entropy and Solvation

7.1K
The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ...
7.1K
The Second Law of Thermodynamics01:14

The Second Law of Thermodynamics

5.4K
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...
5.4K
Standard Entropy Change for a Reaction03:00

Standard Entropy Change for a Reaction

20.8K
Entropy is a state function, so the standard entropy change for a chemical reaction (ΔS°rxn) can be calculated from the difference in standard entropy between the products and the reactants.
20.8K

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Bulk and Thin Film Synthesis of Compositionally Variant Entropy-stabilized Oxides
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Non-Additive Entropy Composition Rules Connected with Finite Heat-Bath Effects.

Tamás Sándor Biró1,2

  • 1Wigner Research Centre for Physics, 1121 Budapest, Hungary.

Entropy (Basel, Switzerland)
|December 23, 2022
PubMed
Summary
This summary is machine-generated.

Researchers explored physical interpretations for Rényi and Tsallis q-entropy formulas, linking them to heat bath properties and temperature fluctuations using ideal gases.

Keywords:
entropyfinite heat-bathsuperstatistics

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Area of Science:

  • Statistical Mechanics
  • Information Theory
  • Thermodynamics

Background:

  • The Boltzmann-Gibbs-Shannon entropy formula has seen numerous mathematical generalizations since the 1960s.
  • Non-additive entropy generalizations like Rényi and Tsallis entropies are significant in various scientific fields.

Purpose of the Study:

  • To provide a physical interpretation for the single parameter in Rényi and Tsallis q-entropy formulas.
  • To connect these generalized entropies to physical properties of a finite capacity heat bath and temperature fluctuations.

Main Methods:

  • Utilized mathematical generalizations of entropy formulas.
  • Employed ideal gases of non-interacting particles as a model system.
  • Analyzed the physical implications of the q-parameter in generalized entropies.

Main Results:

  • Established a link between the q-parameter of Rényi and Tsallis entropies and physical characteristics of heat baths.
  • Demonstrated how temperature fluctuations influence these generalized entropy measures.
  • The study provides a physical grounding for abstract mathematical entropy concepts.

Conclusions:

  • The single parameter in Rényi and Tsallis q-entropy formulas can be physically interpreted through heat bath properties and temperature fluctuations.
  • Ideal gases serve as a valid model for understanding these generalized entropy concepts in a physical context.