1,720,963 research outputs found
Statistical mechanics and thermodynamics of small systems
Full text linkIn this thesis many aspects of the statistical mechanics and thermodynamics of small systems are studied. The very same possibility of defining a thermodynamics for this class of systems, for which the usual properties of the thermodynamic limit do not apply, is discussed by means of general considerations and specific examples. We show that it is possible to preserve most of the features of thermodynamics for a specific class of systems which are, at the same time, far enough from the infinite-N limit to be small, but large enough to be studied with a statistical approach. A review of the necessary mathematical and physical tools to study this particular class of systems is included.
Eventually, a specific system is studied, both from an equilibrium and a non- equilibrium perspective: it is found that this system, composed by a gas included in a container with a moving wall (the piston), has an highly non-trivial dynamics caused by the interplay of the different degrees of freedom of the system, which cannot be easily reproduced by means of coarse-grained equations. At the same time, the smallness of the system is responsible for large fluctuations that strongly characterize the system. We show that this system reproduces the behavior of an heat engine, when the external parameters vary in time: in particular we show that different working regimes (engine, refrigerator, heat pump) can be obtained depending upon the total time of a cycle of the external parameters. We also derive some analytical results reproducing, with a fair degree of approximation, the behavior of the system
Linear and nonlinear thermodynamics of a kinetic heat engine with fast transformations
No full textWe investigate a kinetic heat engine model composed of particles enclosed in a box where one side acts as a thermostat and the opposite side is a piston exerting a given pressure. Pressure and temperature are varied in a cyclical protocol of period \tau: their relative excursions,
\delta and \epsilon, respectively, constitute the thermodynamic forces dragging the system out of equilibrium. The analysis of the entropy production of the system allows us to define the conjugated fluxes, which are proportional to the extracted work and the consumed heat. In the limit of small
\delta, and \epsilon the fluxes are linear in the forces through a \tau-dependent Onsager matrix whose off-diagonal elements satisfy a reciprocal relation. The dynamics of the piston can be approximated, through a coarse-graining procedure, by a Klein-Kramers equation which—in the linear regime—yields analytic expressions for the Onsager coefficients and the entropy production. A study of the efficiency at maximum power shows that the Curzon-Ahlborn formula is always an upper limit which is approached at increasing values of the thermodynamic forces, i.e., outside of the linear regime. In all our analysis the adiabatic limit \tau\to\infty and the the small-force limit \delta, \epsilon\to 0 are not directly related.
Entropy production for velocity-dependent macroscopic forces: The problem of dissipation without fluctuations
No full textIn macroscopic systems, velocity-dependent phenomenological forces F(v) are used to model friction, feedback devices or self-propulsion. Such forces usually include a dissipative component which conceals the fast energy exchanges with a thermostat at the environment temperature T, ruled by a microscopic Hamiltonian H. The mapping —even if effective for many purposes— may lead to applications of stochastic thermodynamics where an incomplete fluctuating entropy production (FEP) is derived. An enlighting example is offered by recent macroscopic experiments where dissipation is dominated by solid-on-solid friction, typically modelled through a deterministic Coulomb force F(v). Through an adaptation of the microscopic Prandtl-Tomlinson model for friction, we show how the FEP is dominated by the heat released to the T-thermostat, ignored by the macroscopic Coulomb model. This problem, which haunts several studies in the literature, cannot be cured by weighing the time-reversed trajectories with a different auxiliary dynamics: it is only solved by a more accurate stochastic modelling of the thermostat underlying dissipation
Fourier’s Law in a Generalized Piston Model
Full text linkA simplified, but non trivial, mechanical model—gas of N particles of mass m in a box partitioned by n mobile adiabatic walls of mass M—interacting with two thermal baths at different temperatures, is discussed in the framework of kinetic theory. Following an approach due to Smoluchowski, from an analysis of the collisions particles/walls, we derive the values of the main thermodynamic quantities for the stationary non-equilibrium states. The results are compared with extensive numerical simulations; in the limit of large n, m N / M ≫ 1 and m / M ≪ 1 , we find a good approximation of Fourier’s law
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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