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Entropy

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

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...

Entropy within the Cell

Entropy within the Cell

A living cell's primary tasks of obtaining, transforming, and using energy to do work may seem simple. However, the second law of thermodynamics explains why these tasks are harder than they appear. None of the energy transfers in the universe are completely efficient. In every energy transfer, some amount of energy is lost in a form that is unusable. In most cases, this form is heat energy. Thermodynamically, heat energy is defined as the energy transferred from one system to another that...

Entropy and the Second Law of Thermodynamics

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...

The Second Law of Thermodynamics

The Second Law of Thermodynamics

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...

Entropy Change in Reversible Processes

Entropy Change in Reversible Processes

In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.

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Related Experiment Video

Updated: Nov 27, 2025

Using Wavelet Entropy to Demonstrate how Mindfulness Practice Increases Coordination between Irregular Cerebral and Cardiac Activities

Using Wavelet Entropy to Demonstrate how Mindfulness Practice Increases Coordination between Irregular Cerebral and Cardiac Activities

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From Learning to Consciousness: An Example Using Expected Float Entropy Minimisation.

Jonathan W D Mason¹

¹Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK.

Entropy (Basel, Switzerland)

|December 3, 2020

Summary

This summary is machine-generated.

This study explores Expected Float Entropy (EFE) minimization, a theory of consciousness. It suggests that minimizing EFE helps systems learn relationships, potentially explaining how brains generate conscious experience and its meaning.

Keywords:

consciousness and relationships float entropy structures implied by neural networks typical data

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Last Updated: Nov 27, 2025

Using Wavelet Entropy to Demonstrate how Mindfulness Practice Increases Coordination between Irregular Cerebral and Cardiac Activities

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Published on: May 10, 2017

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Microstate and Omega Complexity Analyses of the Resting-state Electroencephalography

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Published on: June 15, 2018

Area of Science:

* Computational neuroscience
* Mathematical psychology
* Philosophy of mind

Background:

* Mathematical theories of consciousness, such as Karl Friston's Free Energy Principle and Giulio Tononi's Integrated Information Theory, have been proposed.
* Expected Float Entropy (EFE) minimization, a theory developed since 2012, offers a novel perspective.

Purpose of the Study:

* To investigate the theory of Expected Float Entropy (EFE) minimization.
* To explore how EFE relates to Shannon Entropy and parameterized relationships.
* To test EFE minimization as an association learning process.

Main Methods:

* Analysis of systems with learning-induced bias.
* Examination of relationship parameter choices yielding lower EFE values.
* Testing the effectiveness of EFE minimization in association learning.

Main Results:

* Specific relationship parameter choices significantly reduce EFE values in biased systems.
* Systems self-define relationships based on EFE minimization.
* EFE minimization functions as an effective association learning process.

Conclusions:

* A close link exists between association learning and the emergence of consciousness.
* EFE minimization provides a framework for understanding how brains define the content of consciousness.
* The theory offers insights into relational content and experience meaning.