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Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
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Diffusion is a type of passive transport. In passive transport, a substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space. For example, take the diffusion of substances through the air. When someone opens a perfume bottle in a room filled with people, the perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the...
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The organelle-specific signaling sequences direct proteins synthesized in the cytosol to their final destination like ER, mitochondria, peroxisomes, etc. Some of the proteins directed to ER are then trafficked via vesicles to other organelles within the cell or the extracellular environment through the Golgi complex. For example, the rough ER synthesizes soluble proteins for transportation to the lysosomes or secretion out of the cell. It can also synthesize transmembrane proteins that can...
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Hydronium and hydroxide ions are present both in pure water and in all aqueous solutions, and their concentrations are inversely proportional as determined by the ion product of water (Kw). The concentrations of these ions in a solution are often critical determinants of the solution’s properties and the chemical behaviors of its other solutes. Two different solutions can differ in their hydronium or hydroxide ion concentrations by a million, billion, or even trillion times. A common means of...
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Diffusion in a rough potential: Dual-scale structure and regime crossovers.

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Diffusion in rough potentials is key for protein folding and charge transport. This study reveals distinct diffusion regimes based on distance from equilibrium, impacting effective diffusivity calculations in complex systems.

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Area of Science:

  • Statistical Mechanics
  • Physical Chemistry
  • Soft Matter Physics

Background:

  • Diffusion in complex media, like "rough" potentials, is crucial for phenomena such as protein folding, charge transport, and self-assembly.
  • Understanding diffusion dynamics requires characterizing potentials with both coarse-scale structures and fine-scale roughness.

Purpose of the Study:

  • To investigate diffusion dynamics in potentials featuring both coarse-scale energy barriers and fine-scale roughness.
  • To identify distinct diffusion regimes and their dependence on distance from equilibrium and potential characteristics.
  • To derive and validate an effective diffusivity that accounts for both coarse and fine-scale potential features.

Main Methods:

  • Numerical solution of the Smoluchowski equation to model diffusion.
  • Analytical predictions derived from Kramers theory.
  • Analysis of distinct diffusive regimes based on distance from stable equilibrium.

Main Results:

  • Identified distinct diffusion regimes at varying distances from equilibrium, influenced by potential characteristics (energy barriers and periods).
  • Physical diffusivity is observable beyond a specific distance related to both coarse and fine-scale potential features.
  • Derived an effective diffusivity sensitive to both coarse and fine-scale barriers and periods, showing close agreement with mean first-passage time estimates under specific conditions.

Conclusions:

  • The study elucidates the complex interplay between coarse and fine-scale potential features in dictating diffusion dynamics.
  • The derived effective diffusivity provides a more accurate measure for systems with multi-scale roughness compared to existing methods.
  • Findings are applicable to diverse fields including biophysics, materials science, and nanotechnology.