04175nam a22005895i 4500 978-3-031-68066-3 DE-He213 20251030113244.0 cr nn 008mamaa 241025s2024 sz | s |||| 0|eng d 9783031680663 978-3-031-68066-3 10.1007/978-3-031-68066-3 doi QC310.15-319 PHH bicssc SCI065000 bisacsh PHH thema Movilla Miangolarra, Olga. author. aut http://id.loc.gov/vocabulary/relators/aut 86572 Stochastic Thermodynamic Treatment of Thermal Anisotropy [electronic resource] / by Olga Movilla Miangolarra. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XVII, 159 p. 32 illus., 30 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5061 Chapter 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. This 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. Thermodynamics. 66400 Heat engineering. 66401 Heat transfer. 66402 Mass transfer. 66403 Mathematical physics. Stochastic processes. 76770 Thermodynamics. 66400 Engineering Thermodynamics, Heat and Mass Transfer. 66405 Mathematical Physics. Stochastic Processes. 76770 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031680656 Printed edition: 9783031680670 Printed edition: 9783031680687 Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5061 66370 https://doi.org/10.1007/978-3-031-68066-3 ZDB-2-PHA ZDB-2-SXP 64471 64471