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Thermodynamics: Activity Coefficient01:24

Thermodynamics: Activity Coefficient

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Activity is the measure of the effective concentration of the species in solution. It can be expressed as the product of the molar concentration of the species and its activity coefficient. The activity coefficient is a dimensionless quantity and depends on the total ionic strength of the solution.
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The first law of thermodynamics states that the change in internal energy of the system is equal to the net heat transfer into the system minus the net work done by the system. This equation is a generalized form of energy conservation and can be applied to any thermodynamic process.
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Thermodynamics: Chemical Potential and Activity01:10

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The effective concentration of a species in a solution can be expressed precisely in terms of its activity. Activity considers the effect of electrolytes present in the vicinity of the species of interest and depends on the ionic strength of the solution. The activity of a species is expressed as the product of molar concentration and the activity coefficient of the species.
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Thermodynamic Potentials

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Thermodynamic potentials are state functions that are extremely useful in analyzing a thermodynamic system. They have dimensions of energy. The four important thermodynamic potentials are internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy. These thermodynamic potentials can be expressed using two of the following variables: pressure, volume, temperature, and entropy. These two variables are expressed as the rate of change of the thermodynamic potential with respect to other...
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The heat capacity of a gas is the amount of heat energy required to raise the temperature of a unit mass of gas by one degree Celsius. It is an important thermodynamic property of gases, and its determination is essential in many industrial and scientific applications. Here are the steps to solve problems related to the heat capacities of gases:
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A thermodynamic system is a set of objects whose thermodynamic properties are of interest. The system is considered to be embedded in its surroundings or the environment. The system and its environment can exchange heat and do work on each other through a boundary that separates them. However, the immediate surroundings of the system interact with it directly and therefore have a much stronger influence on its behavior and properties.
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Making the Thermodynamic Cost of Active Inference Explicit.

Chris Fields1, Adam Goldstein2, Lars Sandved-Smith3

  • 1Independent Researcher, 11160 Caunes Minervois, France.

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|August 29, 2024
PubMed
Summary
This summary is machine-generated.

Active Inference Agents (AIAs) utilize energy in two ways: physical energy and statistical Variational Free Energy (VFE). This study clarifies the relationship between Thermodynamic Free Energy (TFE) and VFE, explaining metabolic strategies in organisms.

Keywords:
Free Energy Principlecompartmentalizationcontrol flowmatrix representationmortal computation

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Area of Science:

  • Theoretical neuroscience
  • Statistical physics
  • Quantum information theory

Background:

  • Active Inference Agents (AIAs) are models of intelligent systems.
  • The term "energy" has dual meanings in AIAs: physical energy utilization and statistical Variational Free Energy (VFE).
  • Understanding the interplay between these energy concepts is crucial for explaining organismal behavior and survival.

Purpose of the Study:

  • To develop a theoretical account of Thermodynamic Free Energy (TFE) in Active Inference Agents (AIAs).
  • To elucidate the relationship between TFE and Variational Free Energy (VFE).
  • To explore the macroscopic consequences of tradeoffs between TFE and VFE for organismal strategies.

Main Methods:

  • Formulation of Thermodynamic Free Energy (TFE) within a quantum information-theoretic framework.
  • Analysis of the necessary tradeoffs between TFE and VFE.
  • Connecting these theoretical tradeoffs to macroscopic biological strategies.

Main Results:

  • A unified account of physical energy (TFE) and statistical energy (VFE) in Active Inference Agents (AIAs).
  • Identification of inherent tradeoffs between energy utilization and information processing in biological systems.
  • Demonstration of how these tradeoffs underpin diverse metabolic strategies across organisms.

Conclusions:

  • The explicit formulation of TFE and its relationship with VFE provides a theoretical basis for understanding biological energy management.
  • These findings offer insights into the evolution of metabolic strategies, from plants to predators.
  • This work bridges concepts from physics, information theory, and neuroscience to explain fundamental aspects of life.