494 research outputs found
Fluctuation theorem for non-equilibrium relaxational systems driven by external forces
We discuss an extension of the fluctuation theorem to stochastic models that,
in the limit of zero external drive, are not able to equilibrate with their
environment, extending results presented by Sellitto (cond-mat/9809186). We
show that if the entropy production rate is suitably defined, its probability
distribution function verifies the Fluctuation Relation with the ambient
temperature replaced by a (frequency-dependent) effective temperature. We
derive modified Green-Kubo relations. We illustrate these results with the
simple example of an oscillator coupled to a nonequilibrium bath driven by an
external force. We discuss the relevance of our results for driven glasses and
the diffusion of Brownian particles in out of equilibrium media and propose a
concrete experimental strategy to measure the low frequency value of the
effective temperature using the fluctuations of the work done by an ac
conservative field. We compare our results to related ones that appeared in the
literature recently.Comment: 39 pages, 6 figure
Low-temperature anomalies of a vapor deposited glass
We investigate the low temperature properties of two-dimensional
Lennard-Jones glass films, prepared in silico both by liquid cooling and by
physical vapor deposition. We identify deep in the solid phase a crossover
temperature , at which slow dynamics and enhanced heterogeneity emerge.
Around , localized defects become visible, leading to vibrational
anomalies as compared to standard solids. We find that on average,
decreases in samples with lower inherent structure energy, suggesting that such
anomalies will be suppressed in ultra-stable glass films, prepared both by very
slow liquid cooling and vapor deposition.Comment: 10 pages including appendices, 8 figures. Version accepted for
Physical Review Material
Generalized fluctuation relation and effective temperatures in a driven fluid
By numerical simulation of a Lennard-Jones like liquid driven by a velocity
gradient \gamma we test the fluctuation relation (FR) below the (numerical)
glass transition temperature T_g. We show that, in this region, the FR deserves
to be generalized introducing a numerical factor X(T,\gamma)<1 that defines an
``effective temperature'' T_{FR}=T/X. On the same system we also measure the
effective temperature T_{eff}, as defined from the generalized
fluctuation-dissipation relation, and find a qualitative agreement between the
two different nonequilibrium temperatures.Comment: Version accepted for publication on Phys.Rev.E; major changes, 1
figure adde
Can the jamming transition be described using equilibrium statistical mechanics?
When materials such as foams or emulsions are compressed, they display solid
behaviour above the so-called `jamming' transition. Because compression is done
out-of-equilibrium in the absence of thermal fluctuations, jamming appears as a
new kind of a nonequilibrium phase transition. In this proceeding paper, we
suggest that tools from equilibrium statistical mechanics can in fact be used
to describe many specific features of the jamming transition. Our strategy is
to introduce thermal fluctuations and use statistical mechanics to describe the
complex phase behaviour of systems of soft repulsive particles, before sending
temperature to zero at the end of the calculation. We show that currently
available implementations of standard tools such as integral equations,
mode-coupling theory, or replica calculations all break down at low temperature
and large density, but we suggest that new analytical schemes can be developed
to provide a fully microscopic, quantitative description of the jamming
transition.Comment: 8 pages, 6 figs. Talk presented at Statphys24 (July 2010, Cairns,
Australia
(2+1)-Dimensional Quantum Gravity as the Continuum Limit of Causal Dynamical Triangulations
We perform a non-perturbative sum over geometries in a (2+1)-dimensional
quantum gravity model given in terms of Causal Dynamical Triangulations.
Inspired by the concept of triangulations of product type introduced
previously, we impose an additional notion of order on the discrete, causal
geometries. This simplifies the combinatorial problem of counting geometries
just enough to enable us to calculate the transfer matrix between boundary
states labelled by the area of the spatial universe, as well as the
corresponding quantum Hamiltonian of the continuum theory. This is the first
time in dimension larger than two that a Hamiltonian has been derived from such
a model by mainly analytical means, and opens the way for a better
understanding of scaling and renormalization issues.Comment: 38 pages, 13 figure
The prevalence and progression of radiographic knee osteoarthritis over 9 years in a population-based cohort of middle-aged subjects
Fluctuation theorems for harmonic oscillators
We study experimentally the thermal fluctuations of energy input and
dissipation in a harmonic oscillator driven out of equilibrium, and search for
Fluctuation Relations. We study transient evolution from the equilibrium state,
together with non equilibrium steady states. Fluctuations Relations are
obtained experimentally for both the work and the heat, for the stationary and
transient evolutions. A Stationary State Fluctuation Theorem is verified for
the two time prescriptions of the torque. But a Transient Fluctuation Theorem
is satisfied for the work given to the system but not for the heat dissipated
by the system in the case of linear forcing. Experimental observations on the
statistical and dynamical properties of the fluctuation of the angle, we derive
analytical expressions for the probability density function of the work and the
heat. We obtain for the first time an analytic expression of the probability
density function of the heat. Agreement between experiments and our modeling is
excellent
Fluctuation relations and coarse-graining
We consider the application of fluctuation relations to the dynamics of
coarse-grained systems, as might arise in a hypothetical experiment in which a
system is monitored with a low-resolution measuring apparatus. We analyze a
stochastic, Markovian jump process with a specific structure that lends itself
naturally to coarse-graining. A perturbative analysis yields a reduced
stochastic jump process that approximates the coarse-grained dynamics of the
original system. This leads to a non-trivial fluctuation relation that is
approximately satisfied by the coarse-grained dynamics. We illustrate our
results by computing the large deviations of a particular stochastic jump
process. Our results highlight the possibility that observed deviations from
fluctuation relations might be due to the presence of unobserved degrees of
freedom.Comment: 19 pages, 6 figures, very minor change
Fluctuation relations in non-equilibrium stationary states of Ising models
Fluctuation relations for the entropy production in non equilibrium
stationary states of Ising models are investigated by Monte Carlo simulations.
Systems in contact with heat baths at two different temperatures or subject to
external driving will be studied. In the first case, by considering different
kinetic rules and couplings with the baths, the behavior of the probability
distributions of the heat exchanged in a time with the thermostats, both
in the disordered and in the low temperature phase, are discussed. The
fluctuation relation is always verified in the large limit and
deviations from linear response theory are observed. Finite- corrections
are shown to obey a scaling behavior. In the other case the system is in
contact with a single heat bath but work is done by shearing it. Also for this
system the statistics collected for the mechanical work shows the validity of
the fluctuation relation and preasymptotic corrections behave analogously to
the case with two baths.Comment: 9 figure
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