Continuity and boundary conditions in thermodynamics: From Carnot's efficiency to efficiencies at maximum power

[...] By the beginning of the 20th century, the principles of thermodynamics were summarized into the so-called four laws, which were, as it turns out, definitive negative answers to the doomed quests for perpetual motion machines. As a matter of fact, one result of Sadi Carnot's work was precisely that the heat-to-work conversion process is fundamentally limited; as such, it is considered as a first version of the second law of thermodynamics. Although it was derived from Carnot's unrealistic model, the upper bound on the thermodynamic conversion efficiency, known as the Carnot efficiency, became a paradigm as the next target after the failure of the perpetual motion ideal. In the 1950's, Jacques Yvon published a conference paper containing the necessary ingredients for a new class of models, and even a formula, not so different from that of Carnot's efficiency, which later would become the new efficiency reference. Yvon's first analysis [...] went fairly unnoticed for twenty years, until Frank Curzon and Boye Ahlborn published their pedagogical paper about the effect of finite heat transfer on output power limitation and their derivation of the efficiency at maximum power, now known as the Curzon-Ahlborn (CA) efficiency. The notion of finite rate explicitly introduced time in thermodynamics, and its significance cannot be overlooked as shown by the wealth of works devoted to what is now known as finite-time thermodynamics since the end of the 1970's. [...] The object of the article is thus to cover some of the milestones of thermodynamics, and show through the illustrative case of thermoelectric generators, our model heat engine, that the shift from Carnot's efficiency to efficiencies at maximum power explains itself naturally as one considers continuity and boundary conditions carefully [...]

On the efficiency at maximum cooling power

The efficiency at maximum power (EMP) of heat engines operating as generators is one corner stone of finite-time thermodynamics, the Curzon-Ahlborn efficiency $\eta_{\rm CA}$ being considered as a universal upper bound. Yet, no valid counterpart to $\eta_{\rm CA}$ has been derived for the efficiency at maximum cooling power (EMCP) for heat engines operating as refrigerators. In this Letter we analyse the reasons of the failure to obtain such a bound and we demonstrate that, despite the introduction of several optimisation criteria, the maximum cooling power condition should be considered as the genuine equivalent of maximum power condition in the finite-time thermodynamics frame. We then propose and discuss an analytic expression for the EMCP in the specific case of exoreversible refrigerators

Electron-electron interactions in nano-patterned La 0.3 Sr 0.7 MnO 3 thin films

International audienceUnderstanding the transport in ultra-thin epitaxial La0.3Sr0.7MnO3 (LSMO) is a topic widespread current interest. Here we explore electron-electron interactions in low temperature magneto-transport in straight and zigzag nanowires fabricated from ultra-thin epitaxial LSMO films grown to different thicknesses on STO(100) substrates. We find that three-dimensional electron-electron interactions can explain the resistivity upturn, including many of the changes observed with film thickness, nano-patterning, and magnetic field

Réflexions sur l'optimisation thermodynamique des générateurs thermoélectriques

Les phénomènes thermoélectriques sont un moyen de convertir directement l énergie thermique en énergie électrique ; ils sont à ce titre au cœur de nombreuses recherches dans le domaine de l énergétique. Au-delà de l optimisation des matériaux constituants les générateurs thermoélectriques, il est également nécessaire de mener une réflexion sur la manière dont ces générateurs sont utilisés. La contribution des contacts thermiques entre le générateur et les réservoirs thermiques est un facteur qui va modifier les conditions de fonctionnement optimales du générateur. En utilisant la notion de courant thermique convectif, développée par Thomson il y a plus de 150 ans, nous généralisons les expressions classiques du fonctionnement à puissance maximum pour le générateur pour ce cas de figure. Nous constatons toutefois que ces conditions se réduisent à une adaptation d impédance, à la fois thermique et électrique Outre son intérêt pratique, le générateur thermoélectrique est également un système modèle de choix pour étudier la théorie du transport couplé et des phénomènes irréversibles. En utilisant la description donnée par Ioffe de ce système, nous montrons que l efficacité à maximum de puissance, un coefficient de performance au cœur de la thermodynamique à temps fini, s exprime comme une fonction relativement simple des paramètres du système. La nouveauté de ce travail repose sur une prise en compte appropriée des dissipations internes associées au processus de conversion d énergie. Les résultats sont généralisés enfin aux cas d autres machines thermiques telle que la roue à rochet de Feynman.Thermoelectric phenomena are a way to directly convert thermal energy into electrical energy; they thus are at the heart of several researches in the field of energy conversion. The optimization of the thermoelectric generators includes materials improvement but a reflection on their working conditions is also mandatory. The contribution of the thermal contacts between the generator and the heat reservoirs is a factor that will change the optimum operating conditions of the generator. Using the concept of convective heat flow, developed by Thomson more than 150 years ago, we generalize the classical expression of maximum power conditions. Moreover, we note that these conditions may be reduced to impedance matching conditions, both thermal and electrical. In addition to its practical interest, the thermoelectric generator is also an ideal model system to study the theory of coupled transport and of irreversible phenomena. Using the description of this system given by Ioffe, we show that the maximum power efficiency, a coefficient of performance at the heart of finite time thermodynamics, expressed as a simple function of the system parameters. The novelty of this work is based on a proper consideration of internal dissipation associated with the energy conversion process. The results are then generalized to other thermal engines such as the Feynman ratchet.PARIS11-SCD-Bib. électronique (914719901) / SudocSudocFranceF

Spin electronic magnetic sensor based on functional oxides for medical imaging

8th Spintronics Symposium , AUG 09-13, 2015 , San Diego, CAInternational audienceTo detect magnetic signals coming from the body, in particular those produced by the electrical activity of the heart or of the brain, the development of ultrasensitive sensors is required. In this regard, magnetoresistive sensors, stemming from spin electronics, are very promising devices. For example, tunnel magnetoresistance (TMR) junctions based on MgO tunnel barrier have a high sensitivity. Nevertheless, TMR also often have high level of noise. Full spin polarized materials like manganite La0.67Sr0.33MnO3 (LSMO) are attractive alternative candidates to develop such sensors because LSMO exhibits a very low 1/f noise when grown on single crystals, and a TMR response has been observed with values up to 2000%. This kind of tunnel junctions, when combined with a high Tc superconductor loop, opens up possibilities to develop full oxide structures working at liquid nitrogen temperature and suitable for medical imaging. In this work, we investigated on LSMO-based tunnel junctions the parameters controlling the overall system performances, including not only the TMR ratio, but also the pinning of the reference layer and the noise floor. We especially focused on studying the effects of the quality of the barrier, the interface and the electrode, by playing with materials and growth condition

Green thermoelectrics: Observation and analysis of plant thermoelectric response

Plants are sensitive to thermal and electrical effects; yet the coupling of both, known as thermoelectricity, and its quantitative measurement in vegetal systems never were reported. We recorded the thermoelectric response of bean sprouts under various thermal conditions and stress. The obtained experimental data unambiguously demonstrate that a temperature difference between the roots and the leaves of a bean sprout induces a thermoelectric voltage between these two points. Basing our analysis of the data on the force-flux formalism of linear response theory, we found that the strength of the vegetal equivalent to the thermoelectric coupling is one order of magnitude larger than that in the best thermoelectric materials. Experimental data also show the importance of the thermal stress variation rate in the plant's electrophysiological response. Therefore, thermoelectric effects are sufficiently important to partake in the complex and intertwined processes of energy and matter transport within plants

Réalisation des couches minces PMN-PT dans la technologie MEMS pour les applications hyperfréquences

Les systèmes d information actuels reposent fortement sur les technologies micro-ondes utilisées pour les communications hertziennes. L amélioration des performances des MEMS radio fréquence aptes à fonctionner dans la bande X (8 GHz et 12 GHz) est un enjeu important pour des applications de télécommunications mais aussi pour les applications radar. Pour y parvenir l intégration de matériaux ferroélectriques à haute constante diélectrique est requise. Les matériaux qui possèdent de telles propriétés et qui sont les plus adaptés, sont les composés qui dérivent de la structure pérovskite. Intégrer ce type de matériaux dans des commutateurs radio-fréquence (MEMS-RF) pose de nouveaux chalenges en termes de maîtrise du matériau et de compatibilité avec les technologies MEMS existantes. Cette thèse s est portée sur le composé PMN-PT avec la composition 65/35 qui possède une permittivité relative supérieure à 10000 sous forme de matériau massif.Ce travail de thèse a été consacré à l étude de l intégration du composé PMN-PT dans des composants passifs que sont les commutateurs MEMS. Dans la gamme de fréquence d intérêt, de 500 MHz jusqu à 20 GHz, les propriétés de ces matériaux ont été peu étudiées sur les matériaux massifs et encore moins sous forme de films minces. L objectif de cette thèse était de réaliser les couches minces ferroélectriques et de tester leur compatibilité dans l ensemble du fonctionnement d un composant MEMS mais aussi de mener une étude réciproque : l analyse des FeMEMS (MEMS basé sur les ferroélectriques) permettant de compléter les connaissances de ces matériaux dans cette gamme de fréquence. Ce travail est d intérêt pour l industrie de la technologie MEMS mais aussi pour la science des matériaux ferroélectriques mais aussi par la compréhension des mécanismes physiques gouvernant aux propriétés diélectriques en termes de pertes notamment dans ce domaine de fréquences.Les caractérisations des MEMS-RF présentées dans cette thèse ont démontré la compatibilité du MEMS PMN-PT dans la gamme de fréquence entre 500MHz et 10 GHz avec de très bonnes performances. En utilisant cette adaptation, la technologie actuelle est ainsi capable de couvrir tous les bandes de fréquence les plus importantes : la bande de télécommunication civile de 1 GHz à 5 GHz en utilisant le PMN-PT, la bande X pour les satellites entre 5 GHz et 15 GHz avec PZT et la bande de haute fréquence de 15 GHz à 40 GHz pour la défense avec les diélectriques traditionnels (Si3N4).The current information systems depend strongly on the microwave technology used for wireless communications. The enhanced performance of MEMS radio frequency capacity in X-band (8 GHz and 12 GHz) is an important issue not only for Telecom applications but also for Radar applications. The integration of ferroelectric materials with high-k t is highly demanded to replace the traditional dielectrics. This high-k property is accessible for compounds derived from the perovskite structure. Incorporating such materials in switches radio-frequency (RF-MEMS) impose however new chalenges in terms of the compatibility with the existing MEMS technologies. This thesis is focused on the compound PMN-PT with composition 65/35, which has a relative permittivity greater than 10,000 in the form of bulk material.This thesis has been devoted to the study of the integration of PMN-PT thin films in passive components such as MEMS switches. In the frequency range of interest, 500 MHz to 20 GHz, the properties of these materials have not been studied in bulk materials and even less in the form of thin films. The aim of this thesis was to fabricate the ferroelectric thin films and test their compatibility in the overall operation of a MEMS component. This study provides a reciprocal analysis FeMEMS (MEMS based on ferroelectrics) to complete knowledge of these materials in this frequency range. This work makes interest to both the industry and MEMS ferroelectric materials science who is trying to understand the physical mechanisms governing the dielectric properties in terms of losses in this particular range of frequencies.The characterizations of RF-MEMS presented in this thesis have demonstrated the compatibility of MEMS PMN-PT in the frequency range between 500MHz to 10 GHz with very good performance. Using this adaptation, the current technology is able to cover the most important frequency bands: the civil band telecommunication 1 GHz to 5 GHz using the PMN-PT, the X-band satellites between 5 GHz and 15 GHz with PZT and high frequency band of 15 GHz to 40 GHz for the defense with traditional dielectric (Si3N4).PARIS11-SCD-Bib. électronique (914719901) / SudocSudocFranceF