Stochastic Thermodynamics
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Stochastic Thermodynamics

An Introduction

Luca Peliti, Simone Pigolotti

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eBook - PDF

Stochastic Thermodynamics

An Introduction

Luca Peliti, Simone Pigolotti

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About This Book

The first comprehensive graduate-level introduction to stochastic thermodynamics Stochastic thermodynamics is a well-defined subfield of statistical physics that aims to interpret thermodynamic concepts for systems ranging in size from a few to hundreds of nanometers, the behavior of which is inherently random due to thermal fluctuations. This growing field therefore describes the nonequilibrium dynamics of small systems, such as artificial nanodevices and biological molecular machines, which are of increasing scientific and technological relevance.This textbook provides an up-to-date pedagogical introduction to stochastic thermodynamics, guiding readers from basic concepts in statistical physics, probability theory, and thermodynamics to the most recent developments in the field. Gradually building up to more advanced material, the authors consistently prioritize simplicity and clarity over exhaustiveness and focus on the development of readers' physical insight over mathematical formalism. This approach allows the reader to grow as the book proceeds, helping interested young scientists to enter the field with less effort and to contribute to its ongoing vibrant development. Chapters provide exercises to complement and reinforce learning.Appropriate for graduate students in physics and biophysics, as well as researchers, Stochastic Thermodynamics serves as an excellent initiation to this rapidly evolving field.

  • Emphasizes a pedagogical approach to the subject
  • Highlights connections with the thermodynamics of information
  • Pays special attention to molecular biophysics applications
  • Privileges physical intuition over mathematical formalism
  • Solutions manual available on request for instructors adopting the book in a course

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Information

Year
2021
ISBN
9780691215525
2
Chapter
1
MICROSCOPIC
mechanics
MESOSCOPIC
stochasticĀ 
dynamics
MACROSCOPIC
thermodynamics
stochastic
thermodynamics
statistical
mechanics
coarseĀ 
graining
Figure
1.1.
Relation
between
statistical
mechanics,
coarse-graining
techniques,
and
stochastic
thermodynamics.
(Inspired
by
Sekimoto
[153].)
models
interactions
with
a
heat
reservoir,
fall
into
the
scope
of
stochastic
thermodynamics.
ā€¢
Interacting.
The
stochasticity
of
mesoscopic
systems
results
from
interactions
with
one
or
multiple
reservoirs.
Oļ¬…en
one
does
not
know
the
details
of
these
interactions,
and
the
functional
form
of
the
noise
is
dictated
by
general
physical
assumptions.
Importantly,
we
always
neglect
the
interaction
energy
between
the
system
and
the
bath.
ā€¢
Equilibrium
heat
reservoirs.
We
assume
that
reservoirs
relax
very
quickly
to
equilibrium
compared
to
the
timescales
of
mesoscopic
systems.
Therefore,
on
these
timescales,
reservoirs
are
eļ¬€ectively
always
at
equilibrium.
This
timescale
separation
is
key
to
the
simplicity
of
stochastic
thermodynamics.
In
many
cases,
this
assumption
can
be
justiļ¬ed
by
a
coarse-graining
procedure.
Provocatively,
one
could
say
that
Einsteinā€™s
paper
on
Brownian
motion
was
the
ļ¬rst
paper
in
history
complying
with
our
deļ¬nition
of
stochastic
thermodynamics.
Indeed,

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