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Diffusion01:12

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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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Proteins show rotational as well as lateral diffusion across the membrane. The lateral diffusion of proteins was confirmed through the cell fusion experiment where mouse and human cells were fused, resulting in hybrid cells. When the human and mouse cells fused, the specific membrane proteins on human and mouse cells were marked with the red and green-fluorescent markers, respectively. Initially, the red and green fluorescence was located on the respective hemisphere of the cell. As time...
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Understanding and evaluating diffusion and perfusion is critical in assessing a patient's respiratory and circulatory health. These processes play key roles in maintaining the body's internal environment, ensuring that tissues receive adequate oxygen while waste products are efficiently removed.
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Transverse single-file diffusion and enhanced longitudinal diffusion near a subcritical bifurcation.

Tommy Dessup1, Christophe Coste1, Michel Saint Jean1

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Repelling particles in a quasi-one-dimensional system transition to staggered patterns due to a decreasing confining potential. This configurational phase transition impacts particle motion, revealing insights into diffusion dynamics.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Nonlinear Dynamics

Background:

  • Quasi-one-dimensional systems of repelling particles are fundamental models in physics.
  • Configurational phase transitions are critical phenomena influencing system behavior.
  • Understanding particle interactions and confinement effects is key to predicting emergent properties.

Purpose of the Study:

  • To investigate the configurational phase transition in a quasi-one-dimensional system of repelling particles.
  • To analyze the impact of a decreasing transverse confining potential on system symmetry and stability.
  • To explore the effects of subcriticality on thermal motion and diffusion coefficients.

Main Methods:

  • Theoretical analysis of a quasi-one-dimensional system with repelling particles.
  • Identification of the system's behavior as a subcritical pitchfork bifurcation for short-range interactions.
  • Examination of the stability of the homogeneous zigzag pattern within a specific amplitude range [h_{C1},h_{C2}].

Main Results:

  • A configurational phase transition occurs, leading to two symmetric staggered raw patterns below a potential threshold.
  • The homogeneous zigzag pattern becomes unstable in the range [h_{C1},h_{C2}] due to subcritical pitchfork bifurcation.
  • Transverse fluctuations exhibit strongly subdiffusive behavior (similar to single-file diffusion) near bifurcation limits, while longitudinal fluctuations are enhanced (diffusion coefficient more than doubled).

Conclusions:

  • The subcriticality of the pitchfork bifurcation significantly affects thermal motions and diffusion.
  • A transverse vibrational soft mode is induced near bifurcation thresholds, altering fluctuation dynamics.
  • Measuring thermal fluctuations provides a precise method for determining bifurcation thresholds.