Meta-Materials |
In General
> s.a. electronic technology; fluids
[complex fluids]; optical technology [photonic crystal].
* Idea: Materials whose bulk
properties result from unusual arrangements of more elementary matter.
* Examples: Suspensions; Photonic
crystals (> see technology); Left-handed structures,
with negative μ and ε, made of Cu wires and rings.
* Applications:
Proposed invisibility cloak designs for light [@ news
sr(06)may];
Acoustic metamaterials, for example to improve medical ultrasound imaging, protect buildings
from earthquakes, or obtain a negative index of refraction that might lead to super-resolution
lenses and invisibility cloaks for sound waves.
@ General references:
Banerjee 11 [r CP(12)];
news pw(12)aug [light-tunable metamaterial].
@ Acoustic metamaterials: Guenneau et al NJP(07) [for sound focusing and confinement];
Liang & Li PRL(12);
Haberman & Guild PT(16)jun.
@ Left-handed metamaterials: Smith et al PRL(00) [ε, μ < 0];
news pn(00)mar;
news pw(07)mar [for 813-nm infrared light];
> s.a. Refraction.
@ Applications:
news nat(13)aug;
Smolyaninov PhyB(14)-a1403 [experimental model of a toy, quantum big bang];
news cosmos(19)mar [solving Fredholm integral equations of the second kind];
news pt(19)apr
[analog computers made with dielectric structures].
Foams > s.a. fluids [complex fluids];
spacetime foam; multiverse [bubbles].
* Idea: A set of cells
(bubbles) that fill a region of space; In soap foams and other fluids,
film surfaces have constant mean curvature, whose value is related to the
pressure difference across them; Most of them contain mostly air (95%) and
some liquid (5%), yet behave like springy solids; Three films meet along
lines at 120° angles (Plateau border), and four films meet symmetrically
at single points (Maraldi angle); Topological dynamics is described by a small set
of moves; > s.a. Aboav-Weaire Law.
* Phase transition: They have
a phase transition of sorts as the liquid content varies, with critical point
occuring when it is so high (roughly 37% by volume) that the air bubbles are
completely spherical and only touch each other at one point, when bubbles
cease to be stacked in a semi-solid and begin to float freely inside a
flowing liquid.
* Types: Dry foams are made
of polyhedral bubbles, while wet foams have rounder bubbles because liquid
inflates the bubble faces and vertices.
* Examples: Beer; Galaxy distribution;
Soap; Polycrystals, which can be considered as a solid type of foam.
* Applications: Liquid foams
can be used to block ultrasound transmission.
@ General references: Klarreich AS(00)mar [soap foam];
Perkowitz ThSc(00)mar;
Weaire & Hutzler 01;
Banhart & Weaire PT(02)jul [metal foams];
Diebels & Steeb PRS(02) [elastic moduli];
Durian & Raghavan PT(10)may [reasons for stability];
Lespiat et al PRL(11) [similarities between foams and granular matter];
Barmak et al PRB(11)
+ Kohn Phy(11)
[grain boundary character distribution in polycrystals, irreversibility and critical phenomena];
Young 11;
news pw(12)feb [Weaire-Phelan foam in the lab];
news pw(13)may [new mathematical model].
@ Related topics: Lovett 94 [soap films];
Hass & Schlafly AS(96) [soap double bubbles];
focus Phy(14) [using foam to block ultrasound transmission];
news cn(14)jul [what makes the perfect beer foam].
> Online resources:
see Trinity College Dublin group site.
Granular Matter
> s.a. condensed matter [clusters and nanoparticles].
* Idea: A type of metamaterial;
Examples are sand, powders, nuts, sugar, coal; Normal ground is about 40% air.
* Properties: Some are shared with
solids (they support a load), others with liquids (they pour); Characteristics do
not depend on T, because typically E \(\gg\) kT; Some
show a type of hysteresis in the opening and closing of microscopic bonds.
* Importance: Mixing, sifting,
mining, erosion process; galaxies?
* Description: These materials
are inherently dissipative, which renders key concepts of statistical mechanics,
such as thermal equilibrium, inapplicable; One proposal (Edwards et al 1989) was
to use the volume in the role of the energy, another (Blumenfeld et al 2016) to
replace the volume with the connectivity function.
* Jamming transition: A phase
transition analogous to the melting of an ordinary solid.
* Brazil nut problem: How do they
find their way to the top of a bowl, while smaller nuts filter to the bottom?
@ Books: Mehta ed-94;
Ristow 00 [r PT(01)apr];
Duran 00 [r PT(01)apr];
Mehta 07;
Aste et al ed-07;
Aranson & Tsimring 09 [r PT(10)may];
Andreotti et al 13
[r CP(14)];
Herminghaus 13 [wet granular matter].
@ General references: Jaeger et al PT(96)apr,
RMP(96);
Jaeger & Nagel AS(97);
Arenzon JPA(99) [replica theory];
Kakalios AJP(05)jan [RL];
Aranson & Tsimring RMP(06) [patterns and collective behavior];
Al-Raoush PhyA(07) [microstructure properties];
Lespiat et al PRL(11) [similarities between foams and granular matter];
Boyer et al PRL(11)
+ de Bruyn Phy(11) [unifying liquid and granular flow];
Porter et al PT(15)nov [granular crystals];
Blumenfeld et al PRL(16)
+ McNamara Phy(16)
[reformulation replacing the volume function with a connectivity function];
Bililign et al PRL(19) [hints of an equation of state].
@ Thermodynamics: news pt(17)jul [powders];
Smart PT(17)sep [grain arrangements in packings].
@ Jamming transition: Coniglio et al PhyA(04);
Coulais et al PRL(14)
+ Daniels Phy(14) [experiments on elasticity of a model soil];
O'Hern Phy(16)
[re Gardner phase transition thought to occur between the glass and jamming transitions].
@ Related topics: Umbanhowar et al Nat(96)aug
+ pn(96)sep [particle-like excitations];
Shinbrot et al Nat(99)feb
+ pn(99)mar [chaotic mixing];
Falcon et al PRL(99)
+ pn(99)jul [low gravity clustering];
Hong et al PRL(01) [Brazil nut problem];
Valverde et al CP(03) [Hurst rescaled range analysis];
Coniglio et al PhyA(04) [Edwards' theory];
Tighe & Sperl GM(07)phy/06
[Hagen's 1852 paper on pressure and motion]; Rice MS(12) [in air flow, simulations];
Puckett & Daniels PRL(13) [temperaturelike variables];
Asenjo et al PRL(14) [number of packings, entropy];
Yu et al PRL(20) [experiments in near-zero gravity].
> Related topics: see fluids [complex fluids];
gas [clustering in granular gas]; spheres [sphere packings];
analog gravity models.
Other Types of Metamaterials
> s.a. Compressibility [negative]; light [superscattering].
@ General references: Rapoport et al Nat(97)jun
+ news pn(97)jul [hollow nanoparticle lubricants];
Khaldoun et al Nat(05)sep
+ pn(05)nov [quicksand];
Bohr & Olsen EPL(11)-a1004
+ news sn(10)apr [rope geometry];
Chawla 16 [fibrous materials];
Pratapa et al PRL(19) [origami with tunable mechanical properties].
@ Suspensions: news pw(11)feb [and viscous fluids, gel-like materials];
news sn(12)jul [corn starch thickens when perturbed].
@ Invisibility cloaks: Alù & Engheta PRE(05)cm [transparency with plasmonic coatings];
Leonhardt & Philbin pw(06)sep;
Weder JPA(08)-a0704 [theoretical analysis];
Lai et al PRL(09)
+ Philbin Phy(09);
Lai et al PRL(09) [illusion optics];
Guevara et al OE(09)-a0907 [broadband];
news sn(09)dec [charged particles reveal objects];
news pw(10)nov [flexible metamaterial];
news pw(10)nov,
Nat(10)dec;
Zhang et al PRL(11) [for visible light];
news bbc(12)may;
news pw(12)nov [adaptable invisibility cloak];
news pw(13)mar [ultrathin metascreen];
Monticone & Alù PRX(13) [over the entire electromagnetic spectrum, and global scattering];
McCall CP(13);
news sci(15)sep;
> s.a. optical technology.
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send feedback and suggestions to bombelli at olemiss.edu – modified 27 nov 2020