275 research outputs found
Geometric magnetism in open quantum systems
An isolated classical chaotic system, when driven by the slow change of
several parameters, responds with two reaction forces: geometric friction and
geometric magnetism. By using the theory of quantum fluctuation relations we
show that this holds true also for open quantum systems, and provide explicit
expressions for those forces in this case. This extends the concept of Berry
curvature to the realm of open quantum systems. We illustrate our findings by
calculating the geometric magnetism of a damped charged quantum harmonic
oscillator transported along a path in physical space in presence of a magnetic
field and a thermal environment. We find that in this case the geometric
magnetism is unaffected by the presence of the heat bath.Comment: 7 pages. Signs corrected. v3 Accepted in Phys. Rev.
Nonequilibrium fluctuation-dissipation relations for one- and two-particle correlation functions in steady-state quantum transport
We study the non-equilibrium (NE) fluctuation-dissipation (FD) relations in
the context of quantum thermoelectric transport through a two-terminal
nanodevice in the steady-state. The FD relations for the one- and two-particle
correlation functions are derived for a model of the central region consisting
of a single electron level. Explicit expressions for the FD relations of the
Green's functions (one-particle correlations) are provided. The FD relations
for the current-current and charge-charge (two-particle) correlations are
calculated numerically. We use self-consistent NE Green's functions
calculations to treat the system in the absence and in the presence of
interaction (electron-phonon) in the central region. We show that, for this
model, there is no single universal FD theorem for the NE steady state. There
are different FD relations for each different class of problems. We find that
the FD relations for the one-particle correlation function are strongly
dependent on both the NE conditions and the interactions, while the FD
relations of the current-current correlation function are much less dependent
on the interaction. The latter property suggests interesting applications for
single-molecule and other nanoscale transport experiments.Comment: This revised version is now accepted for publication in the Journal
of Chemical Physics (March 2014). arXiv admin note: text overlap with
arXiv:1305.507
On the work distribution for the adiabatic compression of a dilute classical gas
We consider the adiabatic and quasi-static compression of a dilute classical
gas, confined in a piston and initially equilibrated with a heat bath. We find
that the work performed during this process is described statistically by a
gamma distribution. We use this result to show that the model satisfies the
non-equilibrium work and fluctuation theorems, but not the
flucutation-dissipation relation. We discuss the rare but dominant realizations
that contribute most to the exponential average of the work, and relate our
results to potentially universal work distributions.Comment: 4 page
Molecular random walks and invariance group of the Bogolyubov equation
Statistics of molecular random walks in a fluid is considered with the help
of the Bogolyubov equation for generating functional of distribution functions.
An invariance group of solutions to this equation as functions of the fluid
density is discovered. It results in many exact relations between probability
distribution of the path of a test particle and its irreducible correlations
with the fluid. As the consequence, significant restrictions do arise on
possible shapes of the path distribution. In particular, the hypothetical
Gaussian form of its long-range asymptotic proves to be forbidden (even in the
Boltzmann-Grad limit). Instead, a diffusive asymptotic is allowed which
possesses power-law long tail (cut off by ballistic flight length).Comment: 23 pages, no figures, LaTeX AMSART, author's translation from Russian
of the paper accepted to the TMPh (``Theoretical and mathematical physics''
Lower bounds on dissipation upon coarse graining
By different coarse-graining procedures we derive lower bounds on the total
mean work dissipated in Brownian systems driven out of equilibrium. With
several analytically solvable examples we illustrate how, when, and where the
information on the dissipation is captured.Comment: 11 pages, 8 figure
Statistics of work performed on a forced quantum oscillator
Various aspects of the statistics of work performed by an external classical
force on a quantum mechanical system are elucidated for a driven harmonic
oscillator. In this special case two parameters are introduced that are
sufficient to completely characterize the force protocol. Explicit results for
the characteristic function of work and the respective probability distribution
are provided and discussed for three different types of initial states of the
oscillator: microcanonical, canonical and coherent states. Depending on the
choice of the initial state the probability distributions of the performed work
may grossly differ. This result in particular holds also true for identical
force protocols. General fluctuation and work theorems holding for
microcanonical and canonical initial states are confirmed
Random paths and current fluctuations in nonequilibrium statistical mechanics
An overview is given of recent advances in nonequilibrium statistical
mechanics about the statistics of random paths and current fluctuations.
Although statistics is carried out in space for equilibrium statistical
mechanics, statistics is considered in time or spacetime for nonequilibrium
systems. In this approach, relationships have been established between
nonequilibrium properties such as the transport coefficients, the thermodynamic
entropy production, or the affinities, and quantities characterizing the
microscopic Hamiltonian dynamics and the chaos or fluctuations it may generate.
This overview presents results for classical systems in the escape-rate
formalism, stochastic processes, and open quantum systems
Microcanonical quantum fluctuation theorems
Previously derived expressions for the characteristic function of work
performed on a quantum system by a classical external force are generalized to
arbitrary initial states of the considered system and to Hamiltonians with
degenerate spectra. In the particular case of microcanonical initial states
explicit expressions for the characteristic function and the corresponding
probability density of work are formulated. Their classical limit as well as
their relations to the respective canonical expressions are discussed. A
fluctuation theorem is derived that expresses the ratio of probabilities of
work for a process and its time reversal to the ratio of densities of states of
the microcanonical equilibrium systems with corresponding initial and final
Hamiltonians.From this Crooks-type fluctuation theorem a relation between
entropies of different systems can be derived which does not involve the time
reversed process. This entropy-from-work theorem provides an experimentally
accessible way to measure entropies.Comment: revised and extended versio
The Formation of a Comfortable Urban Environment
The concept of "smart city"and the need to follow this direction in the light of current trends, so as not to miss the chance to improve life in cities. The development and improvement of cities allows humanity to reach a new level in the quality of life and intellectual development. Hence, the population has more prospects to change the surrounding life and their personal. The article reflects the main ideas in the formation of a comfortable urban environment, their relationship and impact on a favorable social climate. The scenario algorithm of practical action for the active citizen on determination of the direction of improvement of comfort of the city environment, establishment of communications of objects of infrastructure of the city environment, Association of the used methods of changes in the concept is offered. The results of the project ";Formation of a comfortable urban environment"on the example of the Sverdlovsk region. The stages of organizational procedures are analyzed, the data of analysts are analyzed, conclusions are drawn about the need to involve citizens in the implementation of projects initiated by citizens. © Published under licence by IOP Publishing Ltd
Work extraction in the spin-boson model
We show that work can be extracted from a two-level system (spin) coupled to
a bosonic thermal bath. This is possible due to different initial temperatures
of the spin and the bath, both positive (no spin population inversion) and is
realized by means of a suitable sequence of sharp pulses applied to the spin.
The extracted work can be of the order of the response energy of the bath,
therefore much larger than the energy of the spin. Moreover, the efficiency of
extraction can be very close to its maximum, given by the Carnot bound, at the
same time the overall amount of the extracted work is maximal. Therefore, we
get a finite power at efficiency close to the Carnot bound.
The effect comes from the backreaction of the spin on the bath, and it
survives for a strongly disordered (inhomogeneously broadened) ensemble of
spins. It is connected with generation of coherences during the work-extraction
process, and we derived it in an exactly solvable model. All the necessary
general thermodynamical relations are derived from the first principles of
quantum mechanics and connections are made with processes of lasing without
inversion and with quantum heat engines.Comment: 30 pages, 6 figure
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