933 research outputs found
Complementarity relation for irreversible process derived from stochastic energetics
When the process of a system in contact with a heat bath is described by
classical Langevin equation, the method of stochastic energetics [K. Sekimoto,
J. Phys. Soc. Jpn. vol. 66 (1997) p.1234] enables to derive the form of
Helmholtz free energy and the dissipation function of the system. We prove that
the irreversible heat Q_irr and the time lapse $Delta t} of an isothermal
process obey the complementarity relation, Q_irr {Delta t} >= k_B T S_min,
where S_min depends on the initial and the final values of the control
parameters, but it does not depend on the pathway between these values.Comment: 3 pages. LaTeX with 6 style macro
The Carnot Cycle for Small Systems: Irreversibility and the Cost of Operations
We employ the recently developed framework of the energetics of stochastic
processes (called `stochastic energetics'), to re-analyze the Carnot cycle in
detail, taking account of fluctuations, without taking the thermodynamic limit.
We find that both processes of connection to and disconnection from heat
baths and adiabatic processes that cause distortion of the energy distribution
are sources of inevitable irreversibility within the cycle. Also, the so-called
null-recurrence property of the cumulative efficiency of energy conversion over
many cycles and the irreversible property of isolated, purely mechanical
processes under external `macroscopic' operations are discussed in relation to
the impossibility of a perpetual machine, or Maxwell's demon.Comment: 11 pages with 3 figures. Resubmitted to Physical Review E. Many
paragraphs have been modifie
Inattainability of Carnot efficiency in the Brownian heat engine
We discuss the reversibility of Brownian heat engine. We perform asymptotic
analysis of Kramers equation on B\"uttiker-Landauer system and show
quantitatively that Carnot efficiency is inattainable even in a fully
overdamping limit. The inattainability is attributed to the inevitable
irreversible heat flow over the temperature boundary.Comment: 5 pages, to appear in Phys. Rev.
Jarzynski equality for the transitions between nonequilibrium steady states
Jarzynski equality [Phys. Rev. E {\bf 56}, 5018 (1997)] is found to be valid
with slight modefication for the transitions between nonequilibrium stationary
states, as well as the one between equilibrium states. Also numerical results
confirm its validity. Its relevance for nonequilibrium thermodynamics of the
operational formalism is discussed.Comment: 5 pages, 2 figures, revte
Momentum transfer in non-equilibrium steady states
When a Brownian object interacts with non-interacting gas particles under
non-equilibrium conditions, the energy dissipation associated to the Brownian
motion causes an additional force on the object as a `momentum transfer
deficit'. This principle is demonstrated first by a new NESS model and then
applied to several known models such as adiabatic piston for which simple
explanation has been lacking.Comment: 4 pages, 3 figure
Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
We study the motion of an overdamped colloidal particle in a time-dependent
non-harmonic potential. We demonstrate the first law-like balance between
applied work, exchanged heat, and internal energy on the level of a single
trajectory. The observed distribution of applied work is distinctly
non-Gaussian in good agreement with numerical calculations. Both the Jarzynski
relation and a detailed fluctuation theorem are verified with good accuracy
Molecular Chemical Engines: Pseudo-Static Processes and the Mechanism of Energy Transduction
We propose a simple theoretical model for a molecular chemical engine that
catalyzes a chemical reaction and converts the free energy released by the
reaction into mechanical work. Binding and unbinding processes of reactant and
product molecules to and from the engine are explicitly taken into account. The
work delivered by the engine is calculated analytically for infinitely slow
(``pseudo-static'') processes, which can be reversible (quasi-static) or
irreversible, controlled by an external agent. It is shown that the work larger
than the maximum value limited by the second law of thermodynamics can be
obtained in a single cycle of operation by chance, although the statistical
average of the work never exceeds this limit and the maximum work is delivered
if the process is reversible. The mechanism of the energy transductionis also
discussed.Comment: 8 pages, 3 figues, submitted to J. Phys. Soc. Jp
A cDNA Encoding a 19-Kilodalton Subunit of Protoplast-Release-Inducing Protein from Closterium
Heat conduction induced by non-Gaussian athermal fluctuations
We study the properties of heat conduction induced by non-Gaussian noises
from athermal environments. We find that new terms should be added to the
conventional Fourier law and the fluctuation theorem for the heat current,
where its average and fluctuation are determined not only by the noise
intensities but also by the non-Gaussian nature of the noises. Our results
explicitly show the absence of the zeroth law of thermodynamics in athermal
systems.Comment: 15 pages, 4 figures, PRE in pres
Brownian dynamics around the core of self-gravitating systems
We derive the non-Maxwellian distribution of self-gravitating -body
systems around the core by a model based on the random process with the
additive and the multiplicative noise. The number density can be obtained
through the steady state solution of the Fokker-Planck equation corresponding
to the random process. We exhibit that the number density becomes equal to that
of the King model around the core by adjusting the friction coefficient and the
intensity of the multiplicative noise. We also show that our model can be
applied in the system which has a heavier particle. Moreover, we confirm the
validity of our model by comparing with our numerical simulation.Comment: 11 pages, 4 figure
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