03800nam a22005055i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001700153072001600170072002300186072001500209100008800224245011600312250001800428264006900446300006600515336002600581337002600607338003600633347002400669490007200693505044600765520153701211650002002748650002202768650001902790650001902809650002602828650002602854650002002880650005602900650002602956650002602982710003403008773002603042776003603068776003603104776003603140830007203176856004603248978-3-031-68066-3DE-He21320251030113244.0cr nn 008mamaa241025s2024    sz |    s    |||| 0|eng d  a97830316806637 a10.1007/978-3-031-68066-32doi 4aQC310.15-319 7aPHH2bicssc 7aSCI0650002bisacsh 7aPHH2thema1 aMovilla Miangolarra, Olga.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aStochastic Thermodynamic Treatment of Thermal Anisotropyh[electronic resource] /cby Olga Movilla Miangolarra.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXVII, 159 p. 32 illus., 30 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSpringer Theses, Recognizing Outstanding Ph.D. Research,x2190-50610 aChapter 1: Introduction to Optimal Mass Transport -- Chapter 2: Introduction to Stochastic Thermodynamics -- Chapter 3: Stochastic thermodynamic systems subject to anisotropic fluctuations -- Chapter 4: Energy harvesting from anisotropic temperature fields -- Chapter 5: Minimal entropy production in anisotropic temperature fields -- Chapter 6: Application: thermodynamic engine powered by anisotropic fluctuations -- Chapter 7: Conclusion.  aThis thesis advances our understanding of how thermal anisotropy can be exploited to extract work through a mechanism that is quite distinct from the classical Carnot heat engine. Anisotropy, the presence of thermal or chemical gradients, is ubiquitous in the real world and powers the cascade of processes that sustain life. The thesis quantifies, for the first time, the maximum amount of power and efficiency that a suitable mechanism (a Brownian gyrator) can achieve in such conditions. An important contribution at the center of the thesis is to lay out a geometric framework that brings out the importance of an isoperimetric problem to analyze and quantify optimal operation of thermodynamic engines that harvest energy when simultaneously in contact with several heat baths. Fundamental bounds are derived via isoperimetric inequalities which capture the trade-off between work and dissipation that accrue during thermodynamic cycles. A geometric theory that allows such insights is explained first – the theory of optimal mass transport – followed by rudiments of stochastic thermodynamics that allow for quantification of work and entropy production during finite-time thermodynamic transitions. The thesis further explores entropy production due to heat flowing between heat baths of different temperature through the system dynamics, and concludes with analysis as a proof-of-concept of an autonomous engine that harvests energy from a thermal gradient to continuously produce work in a stable limit cycle operation. 0aThermodynamics. 0aHeat engineering. 0aHeat transfer. 0aMass transfer. 0aMathematical physics. 0aStochastic processes.14aThermodynamics.24aEngineering Thermodynamics, Heat and Mass Transfer.24aMathematical Physics.24aStochastic Processes.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303168065608iPrinted edition:z978303168067008iPrinted edition:z9783031680687 0aSpringer Theses, Recognizing Outstanding Ph.D. Research,x2190-506140uhttps://doi.org/10.1007/978-3-031-68066-3