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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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Ionic crystals consist of two or more different kinds of ions that usually have different sizes. The packing of these ions into a crystal structure is more complex than the packing of metal atoms that are the same size.
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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
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Synthesis of Biocompatible Liquid Crystal Elastomer Foams as Cell Scaffolds for 3D Spatial Cell Cultures
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Long-time anomalous swimmer diffusion in smectic liquid crystals.

Claudia Ferreiro-Córdova1, John Toner2, Hartmut Löwen3

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Active swimmers in liquid crystals move differently than in simple fluids. Their motion in smectic liquid crystals shows a unique logarithmic tail, revealing insights into particle dynamics.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Fluid Dynamics

Background:

  • Active particles in isotropic media exhibit standard diffusion.
  • Liquid crystalline fluids possess unique anisotropic properties influencing particle dynamics.
  • Previous studies on active particles in nematic liquid crystals show different behaviors.

Purpose of the Study:

  • To investigate the long-time dynamics of a self-locomoting particle in a 3D smectic liquid crystal.
  • To characterize the mean-square displacement (MSD) transverse to the director.
  • To compare the dynamics in smectic liquid crystals with those in isotropic and nematic fluids.

Main Methods:

  • Development of a generic hydrodynamic theory.
  • Conducting Brownian dynamics computer simulations.
  • Utilizing a 3D soft mesogen model for simulations.

Main Results:

  • The mean-square displacement transverse to the director exhibits a distinct logarithmic tail at long times.
  • The observed scaling differs significantly from that in isotropic or nematic fluids.
  • Director fluctuation spectrum plays a crucial role in governing active particle motility.

Conclusions:

  • Smectic liquid crystals present unique environments for active particle locomotion.
  • The distinct logarithmic tail in MSD is a signature of smectic fluid dynamics.
  • Understanding director fluctuations is key to predicting active particle behavior in liquid crystals.