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Entropy02:39

Entropy

37.7K
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...
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Entropy01:18

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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...
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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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Debye–Huckel–Onsager Conductance Equation01:28

Debye–Huckel–Onsager Conductance Equation

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The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect.
139
Entropy and the Second Law of Thermodynamics01:20

Entropy and the Second Law of Thermodynamics

5.2K
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...
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Entropy and the Second Law of Thermodynamics01:26

Entropy and the Second Law of Thermodynamics

234
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...
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Ultrasound Velocity Measurement in a Liquid Metal Electrode
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Excess Entropy Scaling Law for Diffusivity in Liquid Metals.

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Summary

This study validates the Dzugutov scheme for liquid metals and semiconductors. A refined method using self-consistent packing fraction and Carnahan-Starling approach accurately links excess entropy to diffusion.

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Area of Science:

  • Condensed matter physics
  • Thermodynamics
  • Materials science

Background:

  • The relationship between liquid structure, dynamics, and thermodynamics is a key challenge.
  • The Dzugutov contribution offers a simplified model linking excess entropy and diffusion.
  • Uncertainty exists in applying this model to real liquids due to reference fluid limitations.

Purpose of the Study:

  • To investigate the applicability of the Dzugutov scheme to diverse liquid metals and semiconductors.
  • To refine the method for calculating the hard sphere reference fluid's packing fraction.
  • To establish a reliable connection between structural and dynamic properties in these liquids.

Main Methods:

  • Utilized ab initio molecular dynamics simulations.
  • Calculated structural and dynamic properties for liquid Al, Au, Cu, Li, Ni, Ta, Ti, Zn, Si, and B at various temperatures.
  • Employed a self-consistent method for packing fraction determination and the Carnahan-Starling approach for excess entropy.

Main Results:

  • Demonstrated successful application of the Dzugutov scheme to a wide range of liquid metals and semiconductors.
  • Validated the universal connection between pair excess entropy and reduced diffusion coefficient.
  • Showcased the importance of accurate packing fraction and entropy calculations.

Conclusions:

  • The Dzugutov scheme is a viable tool for understanding liquid dynamics in metals and semiconductors.
  • A self-consistent approach to packing fraction and the Carnahan-Starling method enhance the scheme's predictive power.
  • This work provides a robust framework for linking structure and dynamics in complex liquids.