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Related Concept Videos

Entropy01:18

Entropy

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...
Entropy02:39

Entropy

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...
Entropy and the Second Law of Thermodynamics01:20

Entropy and the Second Law of Thermodynamics

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...
Entropy and the Second Law of Thermodynamics01:26

Entropy and the Second Law of Thermodynamics

Consider an isolated system in which a hot object is placed in contact with a cold one. This is an irreversible process that eventually leads both objects to reach the same equilibrium temperature. It is crucial to note that the constituents of any substance exhibit increased disorder at higher temperatures. As a cold substance absorbs heat, its constituents become more disordered. The energy transfer from a hotter object to a cooler one increases the system's disorder or randomness. This...
Mechanical Efficiency of Real Machines01:14

Mechanical Efficiency of Real Machines

The mechanical efficiency of a machine is a fundamental concept that describes how effectively a machine can convert input work into output work. According to this concept, the efficiency of a machine is equal to the ratio of the output work to the input work. An ideal machine, meaning a machine that has no energy losses, has an efficiency of one. This implies that the input work and the output work are equal.
However, in reality, no machine can be truly ideal, and all of them experience some...
Absolute Entropies and the Third Law of Thermodynamics01:23

Absolute Entropies and the Third Law of Thermodynamics

Ludwig Edward Boltzmann developed a definition for entropy, which stated that absolute entropy is proportional to the natural logarithm of the number of possible combinations of particles. Entropy stands alone among state functions as the only one whose absolute values can be determined.Consider a gas sample confined to a container. As the container expands, the energy levels of gas molecules become more closely spaced. This increases the number of available energy states, thereby increasing...

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Related Experiment Video

Updated: May 28, 2026

Comparing Bibliometric Analysis Using PubMed, Scopus, and Web of Science Databases
05:02

Comparing Bibliometric Analysis Using PubMed, Scopus, and Web of Science Databases

Published on: October 24, 2019

Economic Entropy and the Cobb-Douglas Function: A Scientometric Analysis.

Isabel Cristina Betancur-Hinestroza1, Nini Johana Marín-Rodríguez2, Francisco J Caro-Lopera2

  • 1Faculty of Economic Sciences, University of Medellin, Medellín 050026, Colombia.

Entropy (Basel, Switzerland)
|May 26, 2026
PubMed
Summary
This summary is machine-generated.

Economic entropy is increasingly relevant for complex systems, but its integration with production functions like Cobb-Douglas is fragmented. This study maps the field

Keywords:
Cobb-Douglaseconomic entropyeconophysicsproduction functionscientometric analysisutility function

Related Experiment Videos

Last Updated: May 28, 2026

Comparing Bibliometric Analysis Using PubMed, Scopus, and Web of Science Databases
05:02

Comparing Bibliometric Analysis Using PubMed, Scopus, and Web of Science Databases

Published on: October 24, 2019

Area of Science:

  • Econophysics
  • Economic Modeling
  • Scientometrics

Background:

  • Economic entropy is an emerging concept for analyzing complex economic systems.
  • Integration of economic entropy into conventional economic models, like the Cobb-Douglas function, is limited and lacks empirical validation.
  • The field faces challenges due to uncertainty, nonlinearity, and out-of-equilibrium dynamics in economic systems.

Purpose of the Study:

  • To conduct a scientometric analysis of the intersection between entropy, econophysics, and production functions.
  • To map the intellectual structure, growth trends, core contributions, and research gaps in this interdisciplinary field.
  • To provide a reference for researchers aiming to integrate uncertainty, information, and physical constraints into economic analysis.

Main Methods:

  • Scientometric analysis of 345 Scopus-indexed documents published between 1973 and 2024.
  • Analysis of publication trends, authorship structures (Lotka's Law), and citation linkages.
  • Identification of research gaps concerning entropy-based approaches (informational, thermodynamic, maximum entropy) and production function modeling.

Main Results:

  • The field shows sustained growth since 2004, accelerating between 2020-2023, but has a fragmented authorship.
  • The Cobb-Douglas function is a niche area within econophysics, with limited integration of entropy concepts.
  • Weak citation links between econophysics and conventional economics highlight interdisciplinary fragmentation.

Conclusions:

  • The field is in a consolidation phase, characterized by fragmented research and limited integration.
  • There is a need for analytical frameworks that incorporate uncertainty, information, and physical constraints into economic analysis.
  • Advancing econophysics requires bridging the gap between theoretical concepts and empirical economic modeling.