Stochastic Thermodynamic Treatment of Thermal Anisotropy / by Olga Movilla Miangolarra.

Format:

Book

Author/Creator:

Movilla Miangolarra, Olga.

Series:

Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5061

Language:

English

Subjects (All):

Thermodynamics.

Heat engineering.

Heat--Transmission.

Heat.

Mass transfer.

Mathematical physics.

Stochastic processes.

Engineering Thermodynamics, Heat and Mass Transfer.

Mathematical Physics.

Stochastic Processes.

Local Subjects:

Thermodynamics.

Engineering Thermodynamics, Heat and Mass Transfer.

Mathematical Physics.

Stochastic Processes.

Physical Description:

1 online resource (169 pages)

Edition:

1st ed. 2024.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2024.

Summary:

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.

Contents:

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.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

9783031680663

3031680669

OCLC:

1465033078