New Journal of Physics,
Journal Year:
2023,
Volume and Issue:
25(4), P. 043003 - 043003
Published: March 21, 2023
Abstract
We
present
the
experimental
realization
of
tunable
honeycomb
superlattice
plasma
photonic
crystals
(PPCs)
in
dielectric
barrier
discharge
by
utilizing
mesh-liquid
electrodes.
Fast
reconfiguration
among
simple
lattice,
superlattice,
and
honeycomb-snowflake
is
achieved.
A
dynamic
control
on
sizes
center
scattering
elements
has
been
realized.
phenomenological
activator-inhibitor
reaction
diffusion
model
established
to
demonstrate
formation
reconstruction
superlattice.
The
simulations
reproduce
well
observations.
band
diagrams
different
PPCs
are
studied
using
finite
element
method.
addition
large
yields
remarkable
omnidirectional
gaps
that
about
2.5
times
larger
than
lattice.
propose
an
effective
scheme
fabricate
spatiotemporally
controllable
lattices
enable
great
improvement
gap
size
microwave
radiations
for
wide
applications.
Bulletin of Mathematical Biology,
Journal Year:
2024,
Volume and Issue:
86(2)
Published: Jan. 22, 2024
Abstract
Symmetry-breaking
instabilities
play
an
important
role
in
understanding
the
mechanisms
underlying
diversity
of
patterns
observed
nature,
such
as
Turing’s
reaction–diffusion
theory,
which
connects
cellular
signalling
and
transport
with
development
growth
form.
Extensive
literature
focuses
on
linear
stability
analysis
homogeneous
equilibria
these
systems,
culminating
a
set
conditions
for
transport-driven
that
are
commonly
presumed
to
initiate
self-organisation.
We
demonstrate
selection
simple,
canonical
models
only
mild
multistable
non-linearities
can
satisfy
Turing
instability
while
also
robustly
exhibiting
transient
patterns.
Hence,
Turing-like
is
insufficient
existence
patterned
state.
While
it
known
theory
fail
predict
formation
patterns,
we
failures
appear
systems
multiple
stable
equilibria.
Given
biological
gene
regulatory
networks
spatially
distributed
ecosystems
often
exhibit
high
degree
multistability
nonlinearity,
this
raises
questions
how
analyse
prospective
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences,
Journal Year:
2021,
Volume and Issue:
379(2213)
Published: Nov. 8, 2021
In
the
nearly
seven
decades
since
publication
of
Alan
Turing's
work
on
morphogenesis,
enormous
progress
has
been
made
in
understanding
both
mathematical
and
biological
aspects
his
proposed
reaction-diffusion
theory.
Some
these
developments
were
nascent
paper,
others
have
due
to
new
insights
from
modern
techniques,
advances
numerical
simulations,
extensive
experiments.
Despite
such
progress,
there
are
still
important
gaps
between
theory
experiment,
with
many
examples
patterning
where
underlying
mechanisms
unclear.
Here
we
review
pioneered
by
Turing,
showing
how
approach
generalized
a
range
settings
beyond
classical
two-species
framework,
including
evolving
complex
manifolds,
systems
heterogeneous
space
time,
more
general
reaction-transport
equations.
While
substantial
complicated
models,
remaining
challenges
that
highlight
throughout.
We
focus
theory,
particular
linear
stability
analysis
`trivial'
base
states.
emphasise
open
questions
developing
this
further,
discuss
obstacles
using
techniques
understand
reality.
Physical Review Letters,
Journal Year:
2023,
Volume and Issue:
131(14)
Published: Oct. 3, 2023
We
study
a
minimal
model
involving
two
species
of
particles
interacting
via
quorum-sensing
rules.
Combining
simulations
the
microscopic
and
linear
stability
analysis
associated
coarse-grained
field
theory,
we
identify
mechanism
for
dynamical
pattern
formation
that
does
not
rely
on
standard
route
intraspecies
effective
attractive
interactions.
Instead,
our
results
reveal
highly
phase
chasing
bands
induced
only
by
combined
effects
self-propulsion
nonreciprocity
in
interspecies
couplings.
Turning
self-attraction,
find
system
may
separate
into
macroscopic
domain
such
chaotic
coexisting
with
dilute
gas.
show
dynamics
at
interfaces
this
phase-separated
anomalously
slow
coarsening.Received
13
June
2023Accepted
31
August
2023DOI:https://doi.org/10.1103/PhysRevLett.131.148301Published
American
Physical
Society
under
terms
Creative
Commons
Attribution
4.0
International
license.
Further
distribution
work
must
maintain
attribution
to
author(s)
published
article's
title,
journal
citation,
DOI.
Open
access
publication
funded
Max
Planck
Society.Published
SocietyPhysics
Subject
Headings
(PhySH)Research
AreasEmergence
patternsNonequilibrium
statistical
mechanicsSelf-organized
systemsPhysical
SystemsMulticomponent
systemsTechniquesBrownian
dynamicsTheories
collective
&
active
matterStatistical
Physics
ThermodynamicsPolymers
Soft
Matter
Journal of Mathematical Biology,
Journal Year:
2023,
Volume and Issue:
86(3)
Published: Jan. 28, 2023
Abstract
Necessary
and
sufficient
conditions
are
provided
for
a
diffusion-driven
instability
of
stable
equilibrium
reaction–diffusion
system
with
n
components
diagonal
diffusion
matrix.
These
can
be
either
Turing
or
wave
instabilities.
Known
necessary
reproduced
there
to
exist
rates
that
cause
bifurcation
homogeneous
state
in
the
absence
diffusion.
The
method
proof
here
though,
which
is
based
on
study
dispersion
relations
contrasting
limits
wavenumber
tends
zero
$$\infty
$$
∞
,
gives
constructive
choosing
constants.
results
illustrated
3-component
FitzHugh–Nagumo-like
model
proposed
excitable
wavetrains,
two
different
coupled
Brusselator
systems
4-components.
Physical Review Letters,
Journal Year:
2023,
Volume and Issue:
131(13)
Published: Sept. 27, 2023
We
develop
a
general
classification
of
the
nature
instabilities
yielding
spatial
organization
in
open
nonideal
reaction-diffusion
systems,
based
on
linear
stability
analysis.
This
encompasses
dynamics
where
chemical
species
diffuse,
interact
with
each
other,
and
undergo
reactions
driven
out
equilibrium
by
external
chemostats.
find
analytically
that
these
can
be
two
types:
caused
intermolecular
energetic
interactions
(E
type),
multimolecular
out-of-equilibrium
(R
type).
Furthermore,
we
identify
class
reaction
networks,
containing
unimolecular
networks
but
also
extending
beyond
them,
only
E-type
instabilities.
illustrate
our
analytical
findings
numerical
simulations
models,
displaying
one
types
instability
generating
stable
patterns.
Plasma Sources Science and Technology,
Journal Year:
2022,
Volume and Issue:
31(2), P. 025015 - 025015
Published: Jan. 21, 2022
Abstract
We
demonstrate
an
effective
method
for
realization
of
robust,
tailorable
annular
plasma
photonic
crystals
(PPC)
in
dielectric
barrier
discharge
with
two
water
electrodes.
Fast
reconfiguration
between
triangular
lattice,
core-annular
lattice
and
concentric-annular
has
been
achieved.
An
active
control
on
the
structure
elements
is
realized
by
solely
changing
applied
voltage.
The
changes
band
gaps
different
PPCs
have
studied
both
experimentally
numerically.
28.0–30.0
GHz
are
verified.
A
phenomenological
reaction–diffusion
model
nonlinear-coupled
interacting
layers
established
to
mimic
formation
various
structures.
Experimental
observations
numerical
simulation
good
agreement.
Our
approach
provides
a
unique
strategy
create
reversibly
deformable
PPCs,
which
may
offer
new
capabilities
serve
as
promising
platform
applications.
Journal of The Royal Society Interface,
Journal Year:
2023,
Volume and Issue:
20(204)
Published: July 1, 2023
Turing’s
mechanism
is
often
invoked
to
explain
periodic
patterns
in
nature,
although
direct
experimental
support
scarce.
Turing
form
reaction–diffusion
systems
when
the
activating
species
diffuse
much
slower
than
inhibiting
species,
and
involved
reactions
are
highly
nonlinear.
Such
can
originate
from
cooperativity,
whose
physical
interactions
should
also
affect
diffusion.
We
here
take
into
account
show
that
they
strongly
patterns.
find
weak
repulsion
between
activator
inhibitor
substantially
lower
required
differential
diffusivity
reaction
nonlinearity.
By
contrast,
strong
induce
phase
separation,
but
resulting
length
scale
still
typically
governed
by
fundamental
scale.
Taken
together,
our
theory
connects
traditional
with
chemically
active
thus
describing
a
wider
range
of
systems.
Moreover,
we
demonstrate
even
substantially,
so
be
incorporated
modelling
realistic
Physical review. E,
Journal Year:
2024,
Volume and Issue:
109(6)
Published: June 11, 2024
Traditional
linear
stability
analysis
based
on
matrix
diagonalization
is
a
computationally
intensive
process
for
high-dimensional
systems
of
differential
equations,
posing
substantial
limitations
the
exploration
Turing
pattern
formation
where
an
additional
wave-number
parameter
needs
to
be
investigated.
In
this
paper,
we
introduce
efficient
and
intuitive
technique
that
leverages
Gershgorin's
theorem
determine
upper
limits
regions
space
wave
number
beyond
which
instabilities
cannot
occur.
This
method
offers
streamlined
avenue
exploring
phase
diagrams
other
complex
multi-parametric
models,
such
as
those
found
in
gene
regulatory
networks
biology.
Due
its
suitability
asymptotic
limit
infinitely
large
systems,
it
predicts
existence
sweet
spot
network
size
maximal
Jacobian
stability.
New Journal of Physics,
Journal Year:
2023,
Volume and Issue:
25(6), P. 063028 - 063028
Published: June 1, 2023
Abstract
The
world
faces
Covid-19
waves,
and
the
overall
pattern
of
confirmed
cases
shows
periodic
oscillations.
In
this
paper,
we
investigate
spatiotemporal
spread
in
network-organized
SIR
model
with
an
extrinsic
incubation
period
driving
factors.
Firstly,
Our
analysis
occurrences
Hopf
bifurcation
outbreaks
consistent
actual
Covid-19.
And
waves
on
spatial
scales
using
Turing
instability,
infected
individuals
increases
localized
hot
spots.
We
study
effect
period,
more
periods
generate
instability
resulting
outbreaks.
There
is
occurrence
bursting
states
at
peaks
due
to
small
diffusion
susceptible,
which
means
stable
unstable
areas
try
convert
each
other
high
competition
among
nodes.
Also,
note
disappearance
these
bursts
when
susceptible
individuals’
movements
are
easier;
thus,
dominance
prevails
everywhere.
Effective
policy
interventions
seasonality
can
cause
perturbations
model,
therefore
impact
Periodic
factors,
show
co-existing
patterns.
Chaotic
outbreak
becomes
through
alternating
or
period-2
as
regulate
amplitude
frequency
individuals.
short,
regulations
erase
chaotic
interventions.