2,064 research outputs found
Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
We study full counting statistics of coherent electron transport through
multi-terminal interacting quantum-dots under a finite magnetic field.
Microscopic reversibility leads to the symmetry of the cumulant generating
function, which generalizes the fluctuation theorem in the context of quantum
transport. Using this symmetry, we derive the Onsager-Casimir relation in the
linear transport regime and universal relations among nonlinear transport
coefficients.Comment: 4.1pages, 1 figur
Quantum work relations and response theory
A universal quantum work relation is proved for isolated time-dependent
Hamiltonian systems in a magnetic field as the consequence of
microreversibility. This relation involves a functional of an arbitrary
observable. The quantum Jarzynski equality is recovered in the case this
observable vanishes. The Green-Kubo formula and the Casimir-Onsager reciprocity
relations are deduced thereof in the linear response regime
Fluctuation theorem for currents in open quantum systems
A quantum-mechanical framework is set up to describe the full counting
statistics of particles flowing between reservoirs in an open system under
time-dependent driving. A symmetry relation is obtained which is the
consequence of microreversibility for the probability of the nonequilibrium
work and the transfer of particles and energy between the reservoirs. In some
appropriate long-time limit, the symmetry relation leads to a steady-state
quantum fluctuation theorem for the currents between the reservoirs. On this
basis, relationships are deduced which extend the Onsager-Casimir reciprocity
relations to the nonlinear response coefficients.Comment: 19 page
Magnon-driven quantum-dot heat engine
We investigate a heat- to charge-current converter consisting of a
single-level quantum dot coupled to two ferromagnetic metals and one
ferromagnetic insulator held at different temperatures. We demonstrate that
this nano engine can act as an optimal heat to spin-polarized charge current
converter in an antiparallel geometry, while it acts as a heat to pure spin
current converter in the parallel case. We discuss the maximal output power of
the device and its efficiency.Comment: 6 pages, 4 figures, published version, selected as Editor's choic
Stochastic thermodynamics of chemical reaction networks
For chemical reaction networks described by a master equation, we define
energy and entropy on a stochastic trajectory and develop a consistent
nonequilibrium thermodynamic description along a single stochastic trajectory
of reaction events. A first-law like energy balance relates internal energy,
applied (chemical) work and dissipated heat for every single reaction. Entropy
production along a single trajectory involves a sum over changes in the entropy
of the network itself and the entropy of the medium. The latter is given by the
exchanged heat identified through the first law. Total entropy production is
constrained by an integral fluctuation theorem for networks arbitrarily driven
by time-dependent rates and a detailed fluctuation theorem for networks in the
steady state. Further exact relations like a generalized Jarzynski relation and
a generalized Clausius inequality are discussed. We illustrate these results
for a three-species cyclic reaction network which exhibits nonequilibrium
steady states as well as transitions between different steady states.Comment: 14 pages, 2 figures, accepted for publication in J. Chem. Phy
Fluctuation theorem for the effusion of an ideal gas
The probability distribution of the entropy production for the effusion of an
ideal gas between two compartments is calculated explicitly. The fluctuation
theorem is verified. The analytic results are in good agreement with numerical
data from hard disk molecular dynamics simulations.Comment: 11 pages, 10 figures, 2 table
Thermodynamic large fluctuations from uniformized dynamics
Large fluctuations have received considerable attention as they encode
information on the fine-scale dynamics. Large deviation relations known as
fluctuation theorems also capture crucial nonequilibrium thermodynamical
properties. Here we report that, using the technique of uniformization, the
thermodynamic large deviation functions of continuous-time Markov processes can
be obtained from Markov chains evolving in discrete time. This formulation
offers new theoretical and numerical approaches to explore large deviation
properties. In particular, the time evolution of autonomous and non-autonomous
processes can be expressed in terms of a single Poisson rate. In this way the
uniformization procedure leads to a simple and efficient way to simulate
stochastic trajectories that reproduce the exact fluxes statistics. We
illustrate the formalism for the current fluctuations in a stochastic pump
model
Green-Kubo formula for heat conduction in open systems
We obtain an exact Green-Kubo type linear response result for the heat
current in an open system. The result is derived for classical Hamiltonian
systems coupled to heat baths. Both lattice models and fluid systems are
studied and several commonly used implementations of heat baths, stochastic as
well as deterministic, are considered. The results are valid in arbitrary
dimensions and for any system sizes. Our results are useful for obtaining the
linear response transport properties of mesoscopic systems. Also we point out
that for systems with anomalous heat transport, as is the case in
low-dimensional systems, the use of the standard Green-Kubo formula is
problematic and the open system formula should be used.Comment: 4 page
Vortices in the two-dimensional Simple Exclusion Process
We show that the fluctuations of the partial current in two dimensional
diffusive systems are dominated by vortices leading to a different scaling from
the one predicted by the hydrodynamic large deviation theory. This is supported
by exact computations of the variance of partial current fluctuations for the
symmetric simple exclusion process on general graphs. On a two-dimensional
torus, our exact expressions are compared to the results of numerical
simulations. They confirm the logarithmic dependence on the system size of the
fluctuations of the partialflux. The impact of the vortices on the validity of
the fluctuation relation for partial currents is also discussed.Comment: Revised version to appear in Journal of Statistical Physics. Minor
correction
General properties of response functions of nonequilibrium steady states
We derive general properties, which hold for both quantum and classical
systems, of response functions of nonequilibrium steady states. We clarify
differences from those of equilibrium states. In particular, sum rules and
asymptotic behaviors are derived, and their implications are discussed. Since
almost no assumptions are made, our results are applicable to diverse physical
systems. We also demonstrate our results by a molecular dynamics simulation of
a many-body interacting system.Comment: After publication of this paper, several typos were found, which have
been fixed in the erratum (J. Phys. Soc. Jpn., 80 (2011) 128001). All the
corrections have been made in this updated arXive version. 13 pages with 3
figure
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