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An active fluid is a densely packed soft material whose constituent elements can self-propel. Examples include dense suspensions of
bacteria Bacteria (; singular: bacterium) are ubiquitous, mostly free-living organisms often consisting of one biological cell. They constitute a large domain of prokaryotic microorganisms. Typically a few micrometres in length, bacteria were am ...
, microtubule networks or artificial swimmers. These materials come under the broad category of
active matter Active matter is matter composed of large numbers of active "agents", each of which consumes energy in order to move or to exert mechanical forces. Such systems are intrinsically out of thermal equilibrium. Unlike thermal systems relaxing toward ...
and differ significantly in properties when compared to passive fluids, which can be described using Navier-Stokes equation. Even though systems describable as active fluids have been observed and investigated in different contexts for a long time, scientific interest in properties directly related to the activity has emerged only in the past two decades. These materials have been shown to exhibit a variety of different phases ranging from well ordered patterns to chaotic states (see below). Recent experimental investigations have suggested that the various dynamical phases exhibited by active fluids may have important technological applications.


Terminology

The terms “active fluids”, “active nematics” and “active
liquid crystals Liquid crystal (LC) is a state of matter whose properties are between those of conventional liquids and those of solid crystals. For example, a liquid crystal may flow like a liquid, but its molecules may be oriented in a crystal-like way. The ...
” have been used almost synonymously to denote hydrodynamic descriptions of dense active matter. While in many respects they describe the same phenomenon, there are subtle differences between them. “Active nematics” and “active liquid crystals” refers to systems where the constituent elements have nematic order whereas “active fluids” is the more generic term combining systems with both nematic and polar interactions.


Examples and observations

There are wide range of cellular and intracellular elements which form active fluids. This include systems of microtubule,
bacteria Bacteria (; singular: bacterium) are ubiquitous, mostly free-living organisms often consisting of one biological cell. They constitute a large domain of prokaryotic microorganisms. Typically a few micrometres in length, bacteria were am ...
,
sperm cells A spermatozoon (; also spelled spermatozoön; ; ) is a motile sperm cell, or moving form of the haploid cell that is the male gamete. A spermatozoon joins an ovum to form a zygote. (A zygote is a single cell, with a complete set of chromosome ...
as well as inanimate
microswimmer A microswimmer is a microscopic object with the ability to move in a fluid environment. Natural microswimmers are found everywhere in the natural world as biological microorganisms, such as bacteria, archaea, protists, sperm and microanimals. ...
s. It is known that these systems form a variety of structures such as regular and irregular lattices as well as seemingly random states in two dimensions.


Pattern formation

Active fluids have been shown to organize into regular and irregular lattices in a variety of settings. These include irregular hexagonal lattices by microtubules and regular vortex lattice by sperm cells. From topological considerations, it can be seen that the constituent element in quasi stationary states of active fluids should necessarily be vortices. But very less is known, for instance, about the length scale selection in such systems.


Active turbulence

Chaotic states exhibited by active fluids are termed as active turbulence. Such states are qualitatively similar to hydrodynamic turbulence, by virtue of which they are termed active turbulence. But recent research has indicated that the statistical properties associated with such flows are quite different from that of hydrodynamic turbulence.


Mechanism and modelling approaches

The mechanism behind the formation of various structures in active fluids is an area of active research. It is well understood that the structure formation in active fluids is intimately related to defects or disclinations in the
order parameter In chemistry, thermodynamics, and other related fields, a phase transition (or phase change) is the physical process of transition between one state of a medium and another. Commonly the term is used to refer to changes among the basic states ...
field (the orientational order of the constituent agents). An important part of research on active fluids involve modelling of dynamics of these defects to study its role in pattern formation and turbulent dynamics in active fluids. Modified versions of
Vicsek model The Vicsek model is a mathematical model used to describe active matter. One motivation of the study of active matter by physicists is the rich phenomenology associated to this field. Collective motion and swarming are among the most studied phenom ...
are among earliest and continually used approach to model active fluids. Such models have been shown to capture the various dynamical states exhibited by active fluids. More refined approaches include derivation of
continuum limit In mathematical physics and mathematics, the continuum limit or scaling limit of a lattice model refers to its behaviour in the limit as the lattice spacing goes to zero. It is often useful to use lattice models to approximate real-world processe ...
hydrodynamic equations for active fluids and adaptation of liquid crystal theory by including the activity terms.


Potential applications

A few technological applications for active fluids have been proposed such as powering of molecular motors through active turbulence and patterned state. Furthermore, given the innumerable applications liquid crystals find in various technologies, there have been proposals to augment them by using active liquid crystals.


See also

*
Active matter Active matter is matter composed of large numbers of active "agents", each of which consumes energy in order to move or to exert mechanical forces. Such systems are intrinsically out of thermal equilibrium. Unlike thermal systems relaxing toward ...
*
Vicsek model The Vicsek model is a mathematical model used to describe active matter. One motivation of the study of active matter by physicists is the rich phenomenology associated to this field. Collective motion and swarming are among the most studied phenom ...
*
Navier–Stokes equations In physics, the Navier–Stokes equations ( ) are partial differential equations which describe the motion of viscous fluid substances, named after French engineer and physicist Claude-Louis Navier and Anglo-Irish physicist and mathematician G ...
* Soft matter


References

{{reflist Soft matter Rheology