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Entropy02:39

Entropy

32.0K
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 Second Law of Thermodynamics01:14

The Second Law of Thermodynamics

5.9K
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...
5.9K
Entropy and the Second Law of Thermodynamics01:20

Entropy and the Second Law of Thermodynamics

3.4K
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...
3.4K
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 Solvation02:05

Entropy and Solvation

7.4K
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...
7.4K
Second Law of Thermodynamics02:49

Second Law of Thermodynamics

24.8K
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...
24.8K

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Related Experiment Video

Updated: Oct 16, 2025

Hi-C: A Method to Study the Three-dimensional Architecture of Genomes.
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Chaotic Entanglement: Entropy and Geometry.

Matthew A Morena1, Kevin M Short2

  • 1Department of Mathematics, Christopher Newport University, Newport News, VA 23606, USA.

Entropy (Basel, Switzerland)
|October 23, 2021
PubMed
Summary
This summary is machine-generated.

Chaotic entanglement creates stable, self-sustaining pairs of chaotic systems, mimicking quantum entanglement. This process reverses entropy, decreasing it to zero as systems stabilize onto periodic orbits.

Keywords:
chaotic entanglementchaotic systemscoherent structurescupoletsentropygeometrylatticesunstable periodic orbits

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Chaos Theory

Background:

  • Classical chaotic systems typically exhibit unpredictable behavior.
  • Quantum entanglement involves correlated states of quantum systems.
  • Previous research has not explored entanglement-like phenomena in classical chaos.

Purpose of the Study:

  • To investigate the phenomenon of chaotic entanglement in classical systems.
  • To analyze the role of entropy in this entanglement process.
  • To describe the emergent geometric structures of entangled chaotic systems.

Main Methods:

  • Analysis of interacting, classically-chaotic systems.
  • Examination of system stabilization onto unstable periodic orbits.
  • Study of symbolic dynamics for sustaining periodicity.

Main Results:

  • Demonstration of mutual stabilization in pairs of chaotic systems without external control.
  • Observation of entropy reduction to zero in entangled systems, akin to quantum state collapse.
  • Identification of complex geometric structures, from lattices to intricate patterns, formed by entangled systems.

Conclusions:

  • Chaotic entanglement is a novel phenomenon where classical systems exhibit quantum-like correlations.
  • Entropy plays a critical role, reversing and decreasing to zero during stabilization.
  • Entangled chaotic systems self-organize into complex, ordered geometric structures.