Physical Review Research,
Год журнала:
2022,
Номер
4(4)
Опубликована: Ноя. 14, 2022
Data
from
experiments
and
theoretical
arguments
are
the
two
pillars
sustaining
job
of
modelling
physical
systems
through
inference.
In
order
to
solve
inference
problem,
data
should
satisfy
certain
conditions
that
depend
also
upon
particular
questions
addressed
in
a
research.
Here
we
focus
on
characterization
terms
distance
equilibrium,
typically
entropy
production
(time-reversal
asymmetry)
or
violation
Kubo
fluctuation-dissipation
relation.
We
show
how
general,
counter-intuitive
negative
for
inference,
is
problem
impossibility
estimate
equilibrium
using
series
scalar
which
have
Gaussian
statistics.
This
occurs
when
correlated
time,
most
interesting
case
because
it
usually
stems
multi-dimensional
linear
Markovian
system
where
there
many
time-scales
associated
different
variables
and,
possibly,
thermal
baths.
Observing
single
variable
(or
combination
variables)
results
one-dimensional
process
always
indistinguishable
an
one
(unless
perturbation-response
experiment
available).
setting
only
analysis
(and
not
new
experiments)
allowed,
propose
-
as
way
out
combined
use
acquired
with
parameters.
strategy
works
sufficient
knowledge
connection
between
experimental
parameters
model
briefly
discuss
such
emerge,
similarly,
context
Markov
chains
within
coarse-graining
schemes.
Our
conclusion
related
quite
fine
full
phase
space,
therefore
hard
approximate
real
experiments.
Physical Review Research,
Год журнала:
2024,
Номер
6(2)
Опубликована: Май 16, 2024
Stochastic
thermodynamics
provides
the
framework
to
analyze
thermodynamic
laws
and
quantities
along
individual
trajectories
of
small
but
fully
observable
systems.
If
level
fails
capture
all
relevant
degrees
freedom,
some
form
effective,
coarse-grained
dynamics
naturally
emerges
for
which
principles
stochastic
generally
cease
be
applicable
straightforwardly.
Our
work
unifies
notion
entropy
production
an
trajectory
with
that
a
by
establishing
based
on
snippets
Markovian
events
as
fundamental
building
blocks.
A
key
asset
trajectory-based
fluctuating
is
ability
localize
contributions
total
in
time
space.
As
illustration
potential
application
inference
we
introduce
method
detection
hidden
driving.
The
applies
equally
even
odd
variables
and,
therefore,
includes
peculiar
case
underdamped
Langevin
dynamics.
Published
American
Physical
Society
2024
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences,
Год журнала:
2021,
Номер
477(2256)
Опубликована: Дек. 1, 2021
This
paper
develops
a
Bayesian
mechanics
for
adaptive
systems.
Firstly,
we
model
the
interface
between
system
and
its
environment
with
Markov
blanket.
affords
conditions
under
which
states
internal
to
blanket
encode
information
about
external
states.
Second,
introduce
dynamics
represent
systems
as
blankets
at
steady
state.
allows
us
identify
wide
class
of
whose
appear
infer
states,
consistent
variational
inference
in
statistics
theoretical
neuroscience.
Finally,
partition
into
sensory
active
It
follows
that
can
be
seen
performing
well-known
forms
stochastic
control
(such
PID
control),
are
prominent
formulations
behaviour
biology
engineering.
The
movement
trajectories
of
organisms
serve
as
dynamic
read-outs
their
behaviour
and
physiology.
For
microorganisms
this
can
be
difficult
to
resolve
due
small
size
fast
movement.
Here,
we
devise
a
novel
droplet
microfluidics
assay
encapsulate
single
micron-sized
algae
inside
closed
arenas,
enabling
ultralong
high-speed
tracking
the
same
cell.
Comparing
two
model
species
-
Chlamydomonas
reinhardtii
(freshwater,
2
cilia),
Pyramimonas
octopus
(marine,
8
detail
highly-stereotyped
yet
contrasting
swimming
behaviours
environmental
interactions.
By
measuring
rates
probabilities
with
which
cells
transition
between
trio
motility
states
(smooth-forward
swimming,
quiescence,
tumbling
or
excitable
backward
swimming),
reconstruct
control
network
that
underlies
gait
switching
dynamics.
A
simplified
cell-roaming
in
circular
confinement
reproduces
observed
long-term
spatial
fluxes,
including
boundary
circulation
behaviour.
Finally,
establish
an
pairs
droplets
are
fused
on
demand,
one
containing
trapped
cell
another
chemical
perturbs
cellular
excitability,
reveal
how
aneural
adapt
locomotor
patterns
real-time.
Multi-component
molecular
machines
are
ubiquitous
in
biology.
We
review
recent
progress
on
describing
their
thermodynamic
properties
using
autonomous
bipartite
Markovian
dynamics.
The
first
and
second
laws
can
be
split
into
separate
versions
applicable
to
each
subsystem
of
a
two-component
system,
illustrating
that
one
not
only
resolve
energy
flows
between
the
subsystems
but
also
information
quantifying
how
subsystem’s
dynamics
influence
joint
system’s
entropy
balance.
Applying
framework
molecular-scale
sensors
allows
derive
tighter
bounds
requirement.
Two-component
strongly
coupled
studied
from
unifying
perspective
what
extent
they
operate
conventionally
by
transducing
power
or
like
an
engine
generating
flow
rectify
thermal
fluctuations
output
power.
Physical review. E,
Год журнала:
2025,
Номер
111(1)
Опубликована: Янв. 8, 2025
We
construct
a
minimal
two-chain
random
walk
model
and
study
the
information
that
fluctuations
of
flux
higher
cumulants
can
reveal
about
model:
its
structure,
parameters,
whether
it
operates
under
nonequilibrium
conditions.
The
two
coupled
chains
allow
for
both
horizontal
cyclic
transport.
capture
these
processes
by
deriving
cumulant
generating
function
system,
which
characterizes
transport
in
long
time
limit.
First,
we
show
either
or
currents,
along
with
their
higher-order
cumulants,
be
used
to
unravel
intrinsic
structure
parameters
model.
Second,
investigate
"zero
current"
situation,
current
vanishes.
find
condition
at
intermediate
bias,
while
remains
nonzero
throughout.
also
scenarios
close
zero
limit,
entropy
production
rate
is
more
tightly
lower-bounded
relative
noise
current,
vice
versa.
Finally,
simulations
before
steady
state
sets
extraction
interchain
hopping
rate.
Our
study,
illustrating
concealed
fluctuations,
could
see
applications
chemical
networks,
cellular
processes,
charge
energy
materials.
Physical Review Research,
Год журнала:
2025,
Номер
7(1)
Опубликована: Янв. 21, 2025
The
thermodynamic
behavior
of
Markovian
open
quantum
systems
can
be
described
at
the
level
fluctuations
by
using
continuous
monitoring
approaches.
However,
practical
applications
require
assessing
imperfect
detection
schemes,
where
definition
main
quantities
becomes
subtle
and
universal
fluctuation
relations
are
unknown.
Here,
we
fill
this
gap
deriving
a
relation
that
links
entropy
production
information-theoretical
irreversibility
along
single
trajectories
in
inefficient
setups.
This
provides
as
corollary
an
estimator
dissipation
records
lower
bounds
underlying
visible
trajectories.
We
illustrate
our
findings
with
driven-dissipative
two-level
system
following
jump
discuss
experimental
applicability
results
for
inference.
Published
American
Physical
Society
2025
Physical review. E,
Год журнала:
2023,
Номер
107(1)
Опубликована: Янв. 18, 2023
Out-of-equilibrium
systems
continuously
generate
entropy,
with
its
rate
of
production
being
a
fingerprint
nonequilibrium
conditions.
In
small-scale
dissipative
subject
to
thermal
noise,
fluctuations
entropy
are
significant.
Hitherto,
mean
and
variance
have
been
abundantly
studied,
even
if
higher
moments
might
be
important
fully
characterize
the
system
interest.
Here,
we
introduce
graphical
method
compute
any
moment
for
generic
discrete-state
system.
Then,
focus
on
paradigmatic
model
active
particles,
i.e.,
run-and-tumble
dynamics,
which
resembles
motion
observed
in
several
micro-organisms.
Employing
our
framework,
first
three
cumulants
discrete
version
this
model.
We
also
compare
analytical
results
numerical
simulations.
find
that
as
number
states
increases,
distribution
deviates
from
Gaussian.
Finally,
extend
framework
continuous
state-space
model,
using
an
appropriate
scaling
transition
rates.
The
approach
presented
here
help
uncover
features
current
biological
operating
out-of-equilibrium.
Physical Review Research,
Год журнала:
2023,
Номер
5(4)
Опубликована: Дек. 15, 2023
Nonequilibrium
processes
break
time-reversal
symmetry
and
generate
entropy.
Living
systems
are
driven
out-of-equilibrium
at
the
microscopic
level
of
molecular
motors
that
exploit
chemical
potential
gradients
to
transduce
free
energy
mechanical
work,
while
dissipating
energy.
The
amount
dissipation,
or
entropy
production
rate
(EPR),
sets
thermodynamic
constraints
on
cellular
processes.
Practically,
calculating
total
EPR
in
experimental
is
challenging
due
limited
spatiotemporal
resolution
lack
complete
information
every
degree
freedom.
Here,
we
propose
an
inference
approach
for
a
tight
lower
bound
given
partial
information,
based
optimization
scheme
uses
observed
transitions
waiting
times
statistics.
We
introduce
hierarchical
bounds
relying
first-
second-order
transitions,
moments
time
distributions,
apply
our
two
generic
hidden
network
motor,
with
lumped
states.
Finally,
show
can
be
obtained
even
when
assuming
simpler
topology
full
system.
Communications Physics,
Год журнала:
2024,
Номер
7(1)
Опубликована: Авг. 3, 2024
Observing
stochastic
trajectories
with
rare
transitions
between
states,
practically
undetectable
on
time
scales
accessible
to
experiments,
makes
it
impossible
directly
quantify
the
entropy
production
and
thus
infer
whether
how
far
systems
are
from
equilibrium.
To
solve
this
issue
for
Markovian
jump
dynamics,
we
show
a
lower
bound
that
outperforms
any
other
estimation
of
(including
Bayesian
approaches)
in
regimes
lacking
data
due
strong
irreversibility
state
transitions.
Moreover,
limit
complete
irreversibility,
our
effective
version
thermodynamic
uncertainty
relation
sets
depends
only
nondissipative
aspects
dynamics.
Such
an
approach
is
also
valuable
when
dealing
dynamics
deterministic
limit,
such
as
irreversible
chemical
reactions.
Measuring
great
challenge
especially
complex
featuring
multiple
timescales.
The
authors
introduce
existing
methods,
particularly
limited
single
Journal of Physics A Mathematical and Theoretical,
Год журнала:
2021,
Номер
55(1), С. 013001 - 013001
Опубликована: Ноя. 17, 2021
Abstract
At
the
dawn
of
thermodynamics,
Carnot’s
constraint
on
efficiency
heat
engines
stimulated
formulation
one
most
universal
physical
principles,
second
law
thermodynamics.
In
recent
years,
field
acquired
a
new
twist
due
to
enormous
efforts
develop
and
describe
microscopic
machines
based
systems
as
small
single
atoms.
microscales,
fluctuations
are
an
inherent
part
dynamics
thermodynamic
variables
such
work
fluctuate.
Novel
probabilistic
formulations
imply
general
symmetries
limitations
for
fluctuating
output
power
engines.
Will
their
complete
understanding
ignite
similar
revolution
discovery
law?
Here,
we
review
known
results
concerning
in
performance
To
make
discussion
more
transparent,
illustrate
main
abstract
findings
exactly
solvable
models
provide
thorough
theoretical
introduction
newcomers
field.