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Entropy02:39

Entropy

33.7K
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...
33.7K
Entropy01:18

Entropy

3.3K
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...
3.3K
Second Law of Thermodynamics02:49

Second Law of Thermodynamics

26.0K
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 models, the...
26.0K
Second Law of Thermodynamics00:53

Second Law of Thermodynamics

66.5K
The Second Law of Thermodynamics states that entropy, or the amount of disorder in a system, increases each time energy is transferred or transformed. Each energy transfer results in a certain amount of energy that is lost—usually in the form of heat—that increases the disorder of the surroundings. This can also be demonstrated in a classic food web. Herbivores harvest chemical energy from plants and release heat and carbon dioxide into the environment. Carnivores harvest the...
66.5K
Entropy and the Second Law of Thermodynamics01:20

Entropy and the Second Law of Thermodynamics

4.0K
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...
4.0K
The Second Law of Thermodynamics01:14

The Second Law of Thermodynamics

6.3K
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...
6.3K

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Related Experiment Video

Updated: Nov 27, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Quantum Features of Macroscopic Fields: Entropy and Dynamics.

Robert Alicki1

  • 1International Centre for Theory of Quantum Technologies (ICTQT), University of Gdańsk, 80-308 Gdańsk, Poland.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary

This study introduces a new macroscopic wave formalism that incorporates random sources, dissipation, and scattering. This unified approach enhances the description of wave phenomena, including those in optics.

Keywords:
Mueller Jones calculiclassical field theoryquantum open systemsvon Neumann entropy

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Area of Science:

  • Physics
  • Wave Phenomena
  • Quantum Field Theory

Background:

  • Classical wave equations typically model macroscopic fields with damping and coherent sources.
  • Existing models often lack comprehensive inclusion of random/thermal sources and environmental scattering.
  • A unified formalism is needed to describe irreversible wave evolution.

Purpose of the Study:

  • To develop a complete macroscopic formalism for wave phenomena.
  • To incorporate random/thermal sources, dissipation, and environmental scattering into wave equations.
  • To provide a unified framework applicable to diverse physical systems.

Main Methods:

  • Developed a reduced state representation combining averaged fields and the two-point correlation function (single-particle density matrix).
  • Derived the evolution equation for the reduced state by reducing generalized quasi-free dynamical semigroups.
  • Defined entropy for the reduced state using von Neumann entropy from quantum field theory.

Main Results:

  • Successfully formulated a macroscopic theory for waves including random effects and dissipation.
  • The formalism unifies descriptions of wave phenomena previously treated separately.
  • Demonstrated applicability to superradiance and polarization optics (Mueller and Jones calculi).

Conclusions:

  • The developed formalism offers a comprehensive description of macroscopic wave behavior.
  • It provides a unified framework for understanding irreversible wave evolution and interactions.
  • The approach has broad implications for fields ranging from optics to astrophysics.