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Related Concept Videos

Theories of Dissolution: Diffusion Layer Model01:15

Theories of Dissolution: Diffusion Layer Model

Dissolution, the process by which drug particles dissolve in a solvent, is explained by the diffusion layer model, a theoretical framework that simulates the absorption of oral drugs and allows us to analyze experimental data.
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
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Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the concentration...
Van der Waals Interactions01:24

Van der Waals Interactions

Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.
Intermolecular Forces in Solutions02:28

Intermolecular Forces in Solutions

The formation of a solution is an example of a spontaneous process, a process that occurs under specified conditions without energy from some external source.
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Dispersion of Nanomaterials in Aqueous Media: Towards Protocol Optimization
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Dissipation in a finite-size bath.

A Carcaterra1, A Akay

  • 1Department of Mechanical and Aerospace Engineering, University of Rome La Sapienza, I-00184 Rome, Italy. a.carcaterra@dma.ing.uniroma1.it

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 27, 2011
PubMed
Summary

A finite-size bath with specific frequency distributions can mimic infinite baths, enabling particle energy dissipation. This study reinterprets the Langevin equation to clarify finite vs. infinite bath responses.

Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Condensed matter physics

Background:

  • Understanding particle-bath interactions is crucial in quantum and statistical physics.
  • Infinite baths are commonly used models, but finite-size effects can be significant.
  • Dissipation and energy absorption are key phenomena in open quantum systems.

Purpose of the Study:

  • To investigate particle interaction with a finite-size bath.
  • To determine conditions under which a finite bath exhibits dissipation.
  • To re-evaluate the Langevin equation for finite baths.

Main Methods:

  • Modeling a finite-size bath using independent linear oscillators within a finite bandwidth.
  • Analyzing specific oscillator frequency distributions.

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  • Applying a perturbation approach to reinterpret the Langevin equation.

    • Main Results:

    • Identified specific frequency distributions where finite baths emulate infinite baths.
    • Demonstrated irreversible energy absorption from a particle into the finite bath.
    • Established a connection between finite-size and infinite-size bath responses via perturbation theory.

    Conclusions:

    • Finite-size baths can exhibit dissipation, similar to infinite baths, under specific conditions.
    • The reinterpretation of the Langevin equation provides insights into bath size effects.
    • This work bridges the gap between idealized infinite bath models and realistic finite systems.