U. Seifert. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
Stochastic thermodynamics provides a framework for describing small
systems
embedded in a heat bath and externally driven to non-equilibrium.
Examples
are colloidal particles in time-dependent optical traps, single
biomolecules
manipulated by optical tweezers or AFM tips, and motor proteins driven
by
ATP excess. A first-law like energy balance allows to identify applied
work and dissipated heat on the level of a single stochastic trajectory.
Total entropy production includes not only this heat but also changes in
entropy associated with the state of the small system. Within such a
framework, exact results like an integral fluctuation theorem for total
entropy production valid for any initial state, any time-dependent
driving
and any length of trajectories can be proven. These results hold
both for
mechanically driven systems modelled by over-damped Langevin equations
and
chemically driven (biochemical) reaction networks. These theoretical
predictions have been illustrated and tested with experiments on a
colloidal
particle pushed by a periodically modulated laser towards a surface.
Key elements of this framework like a stochastic entropy can also be
applied
to a thermal systems as experiments on an optically driven defect center
in
diamond show. For mechanically driven non-equilibrium steady
states,
the violation of the fluctuation-dissipation theorem can be quantified
as an
additive term directly related to broken detailed balance (rather than a
multiplicative effective temperature). Integrated over time, a
generalized Einstein relation appears which we have recently verified
experimentally. If velocities are measured with respect to the local
mean velocity, the usual form of the FDT holds even in non-equilibrium.
Finally, optimal protocols are derived which minimize the work required
to
switch from one equilibrium state to another in finite time.
%0 Book Section
%1 statphys23_1146
%A Seifert, U.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K colloids equilibrium invited non statphys23 stochastic thermodynamics topic-3
%T Stochastic thermodynamics: Theory and experiments
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1146
%X Stochastic thermodynamics provides a framework for describing small
systems
embedded in a heat bath and externally driven to non-equilibrium.
Examples
are colloidal particles in time-dependent optical traps, single
biomolecules
manipulated by optical tweezers or AFM tips, and motor proteins driven
by
ATP excess. A first-law like energy balance allows to identify applied
work and dissipated heat on the level of a single stochastic trajectory.
Total entropy production includes not only this heat but also changes in
entropy associated with the state of the small system. Within such a
framework, exact results like an integral fluctuation theorem for total
entropy production valid for any initial state, any time-dependent
driving
and any length of trajectories can be proven. These results hold
both for
mechanically driven systems modelled by over-damped Langevin equations
and
chemically driven (biochemical) reaction networks. These theoretical
predictions have been illustrated and tested with experiments on a
colloidal
particle pushed by a periodically modulated laser towards a surface.
Key elements of this framework like a stochastic entropy can also be
applied
to a thermal systems as experiments on an optically driven defect center
in
diamond show. For mechanically driven non-equilibrium steady
states,
the violation of the fluctuation-dissipation theorem can be quantified
as an
additive term directly related to broken detailed balance (rather than a
multiplicative effective temperature). Integrated over time, a
generalized Einstein relation appears which we have recently verified
experimentally. If velocities are measured with respect to the local
mean velocity, the usual form of the FDT holds even in non-equilibrium.
Finally, optimal protocols are derived which minimize the work required
to
switch from one equilibrium state to another in finite time.
@incollection{statphys23_1146,
abstract = {Stochastic thermodynamics provides a framework for describing small
systems
embedded in a heat bath and externally driven to non-equilibrium.
Examples
are colloidal particles in time-dependent optical traps, single
biomolecules
manipulated by optical tweezers or AFM tips, and motor proteins driven
by
ATP excess. A first-law like energy balance allows to identify applied
work and dissipated heat on the level of a single stochastic trajectory.
Total entropy production includes not only this heat but also changes in
entropy associated with the state of the small system. Within such a
framework, exact results like an integral fluctuation theorem for total
entropy production valid for any initial state, any time-dependent
driving
and any length of trajectories can be proven. These results hold
both for
mechanically driven systems modelled by over-damped Langevin equations
and
chemically driven (biochemical) reaction networks. These theoretical
predictions have been illustrated and tested with experiments on a
colloidal
particle pushed by a periodically modulated laser towards a surface.
Key elements of this framework like a stochastic entropy can also be
applied
to a thermal systems as experiments on an optically driven defect center
in
diamond show. For mechanically driven non-equilibrium steady
states,
the violation of the fluctuation-dissipation theorem can be quantified
as an
additive term directly related to broken detailed balance (rather than a
multiplicative effective temperature). Integrated over time, a
generalized Einstein relation appears which we have recently verified
experimentally. If velocities are measured with respect to the local
mean velocity, the usual form of the FDT holds even in non-equilibrium.
Finally, optimal protocols are derived which minimize the work required
to
switch from one equilibrium state to another in finite time.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Seifert, U.},
biburl = {https://www.bibsonomy.org/bibtex/223f8d1bbf0a032874d063221dd6760f7/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {58c34a03facdd4a6cebf0c2b27975396},
intrahash = {23f8d1bbf0a032874d063221dd6760f7},
keywords = {colloids equilibrium invited non statphys23 stochastic thermodynamics topic-3},
month = {9-13 July},
timestamp = {2007-06-20T10:16:40.000+0200},
title = {Stochastic thermodynamics: Theory and experiments},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1146},
year = 2007
}