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Lattice Centering and Coordination Number02:33

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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
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An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
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The fluid mosaic model was first proposed as a visual representation of research observations. The model comprises the composition and dynamics of membranes and serves as a foundation for future membrane-related studies. The model depicts the structure of the plasma membrane with a variety of components, which include phospholipids, proteins, and carbohydrates. These integral molecules are loosely bound, defining the cell’s border and providing fluidity for optimal function.
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Trapping of Micro Particles in Nanoplasmonic Optical Lattice
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Lattice Boltzmann methods and active fluids.

Livio Nicola Carenza1, Giuseppe Gonnella2, Antonio Lamura3

  • 1Dipartimento di Fisica, Università degli Studi di Bari, and INFN Sezione di Bari, Via Amendola 173, 70126, Bari, Italy.

The European Physical Journal. E, Soft Matter
|June 29, 2019
PubMed
Summary
This summary is machine-generated.

This review explores active fluids using hydrodynamic models and Lattice Boltzmann Methods (LBM). It covers active fluid thermodynamics, LBM applications for active matter, and recent LBM studies on topics like active turbulence and colloids.

Keywords:
Soft Matter: Polymers and Polyelectrolytes

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Fluid Dynamics

Background:

  • Active fluids are complex systems exhibiting self-organization and emergent behaviors.
  • Hydrodynamic continuous models and Lattice Boltzmann Methods (LBM) are key tools for studying active fluids.
  • Understanding large-scale organization and dynamics in active matter is crucial.

Purpose of the Study:

  • To provide a comprehensive review of the state-of-the-art in active fluids.
  • To highlight the application of Lattice Boltzmann Methods (LBM) in active fluid dynamics.
  • To discuss recent advancements in LBM-based research on active matter phenomena.

Main Methods:

  • Review of hydrodynamic continuous models for active fluids, including liquid crystal analogies and phenomenological models.
  • Detailed discussion on the implementation of Lattice Boltzmann Methods (LBM) for active fluid hydrodynamics.
  • Application of Chapman-Enskog expansion to recover continuous equations from LBM for simple fluids.

Main Results:

  • LBM can effectively model the hydrodynamics of simple and complex active fluids.
  • The review covers LBM applications for phenomena such as spontaneous flow, self-propelled droplets, active emulsions, rheology, active turbulence, and active colloids.
  • Thermodynamics of active fluids are presented using liquid crystal modeling and other effective models.

Conclusions:

  • Lattice Boltzmann Methods (LBM) offer a versatile and powerful computational framework for active matter research.
  • The reviewed topics demonstrate the broad applicability of LBM in understanding diverse active fluid behaviors.
  • Continued development and application of LBM are expected to drive further discoveries in active matter physics.