東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

The fundamentals of thermodynamics

Lavis, D. A.

Linked to FindBook

Google Book

Amazon

博客來

The fundamentals of thermodynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	The fundamentals of thermodynamics/ by David A. Lavis, Roman Frigg.
Author:	Lavis, D. A.
other author:	Frigg, Roman.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xv, 499 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- States and Processes -- Adiabatic Processes and the First Law -- Carathéodory's Principle and the Second Law -- Thermal Equilibrium and the Zeroth Law -- Single-System Entropy -- Entropy -- Temperature -- Cycles and Comparisons of Versions of the Second Law -- A Geometric Route to Entropy and Temperature -- Phase Transitions and Critical Phenomena -- Non-Equilibrium Theory.
Contained By:	Springer Nature eBook
Subject:	Thermodynamics. -
Online resource:	https://doi.org/10.1007/978-3-031-77948-0
ISBN:	9783031779480

The fundamentals of thermodynamics
Lavis, D. A.

The fundamentals of thermodynamics[electronic resource] /by David A. Lavis, Roman Frigg. - Cham :Springer Nature Switzerland :2025. - xv, 499 p. :ill., digital ;24 cm. - Fundamental theories of physics,v. 2212365-6425 ;. - Fundamental theories of physics ;v. 221..

Introduction -- States and Processes -- Adiabatic Processes and the First Law -- Carathéodory's Principle and the Second Law -- Thermal Equilibrium and the Zeroth Law -- Single-System Entropy -- Entropy -- Temperature -- Cycles and Comparisons of Versions of the Second Law -- A Geometric Route to Entropy and Temperature -- Phase Transitions and Critical Phenomena -- Non-Equilibrium Theory.

The aim of this text is to provide an account of the fundamentals of thermodynamics which is accessible at graduate level to physicists, mathematicians and philosophers of physics. The bulk of the book (Chapters 2-9) is based on the algebraic approach of Lieb and Yngvason, but extended to encompass both positive and negative temperatures and systems in which entropy increases and decreases in adiabatic processes. We show that these four possibilities are already present in Carathéodory's version of the Second Law which arises as a theorem from the axioms. We develop generalized versions of the Kelvin-Planck and Clausius formulations valid for the same range of systems. The parallel development in Chapter 10 takes a geometric approach. We discuss the limitations associated with the local nature of Carathéodory's Principle and present the resolution of this problem due to Boyling. Part of the aim here is to substantiate the claim of Arnold that the mathematical structure of thermodynamics is contact geometry. The last two chapters of the book extend the scope of the discussion to, respectively, critical phenomena and non-equilibrium systems. Chapter 11 is a presentation of phase transitions and critical phenomena in which we discuss universality and use scaling theory to derive scaling laws. Chapter 12 contains a generalization to non-equilibrium. We present the extension of Lieb and Yngvason's work to non-equilibrium and also give a brief account of classical irreversible thermodynamics (CIT). The latter enables a possible understanding of the way that the lack of a unique entropy function in the Lieb and Yngvason non-equilibrium approach can be resolved. The book is completed by a set of appendices which provide mathematical and physical support to the work in the main text.

ISBN: 9783031779480

Standard No.: 10.1007/978-3-031-77948-0doiSubjects--Topical Terms:

517304
Thermodynamics.

LC Class. No.: QC311

Dewey Class. No.: 536.7

The fundamentals of thermodynamics
LDR:03275nmm a2200349 a 4500 001 2413650
003 DE-He213
005 20250624130303.0
006 m d
007 cr nn 008maaau
008 260205s2025 sz s 0 eng d
020 $a 9783031779480 $q (electronic bk.)
020 $a 9783031779473 $q (paper)
024 7 $a 10.1007/978-3-031-77948-0 $2 doi
035 $a 978-3-031-77948-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QC311
072 7 $a PHH $2 bicssc
072 7 $a SCI065000 $2 bisacsh
072 7 $a PHH $2 thema
082 0 4 $a 536.7 $2 23
090 $a QC311 $b .L413 2025
100 1 $a Lavis, D. A. $3 3789876
245 1 4 $a The fundamentals of thermodynamics $h [electronic resource] / $c by David A. Lavis, Roman Frigg.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a xv, 499 p. : $b ill., digital ; $c 24 cm.
338 $a online resource $b cr $2 rdacarrier
490 1 $a Fundamental theories of physics, $x 2365-6425 ; $v v. 221
505 0 $a Introduction -- States and Processes -- Adiabatic Processes and the First Law -- Carathéodory's Principle and the Second Law -- Thermal Equilibrium and the Zeroth Law -- Single-System Entropy -- Entropy -- Temperature -- Cycles and Comparisons of Versions of the Second Law -- A Geometric Route to Entropy and Temperature -- Phase Transitions and Critical Phenomena -- Non-Equilibrium Theory.
520 $a The aim of this text is to provide an account of the fundamentals of thermodynamics which is accessible at graduate level to physicists, mathematicians and philosophers of physics. The bulk of the book (Chapters 2-9) is based on the algebraic approach of Lieb and Yngvason, but extended to encompass both positive and negative temperatures and systems in which entropy increases and decreases in adiabatic processes. We show that these four possibilities are already present in Carathéodory's version of the Second Law which arises as a theorem from the axioms. We develop generalized versions of the Kelvin-Planck and Clausius formulations valid for the same range of systems. The parallel development in Chapter 10 takes a geometric approach. We discuss the limitations associated with the local nature of Carathéodory's Principle and present the resolution of this problem due to Boyling. Part of the aim here is to substantiate the claim of Arnold that the mathematical structure of thermodynamics is contact geometry. The last two chapters of the book extend the scope of the discussion to, respectively, critical phenomena and non-equilibrium systems. Chapter 11 is a presentation of phase transitions and critical phenomena in which we discuss universality and use scaling theory to derive scaling laws. Chapter 12 contains a generalization to non-equilibrium. We present the extension of Lieb and Yngvason's work to non-equilibrium and also give a brief account of classical irreversible thermodynamics (CIT). The latter enables a possible understanding of the way that the lack of a unique entropy function in the Lieb and Yngvason non-equilibrium approach can be resolved. The book is completed by a set of appendices which provide mathematical and physical support to the work in the main text.
650 0 $a Thermodynamics. $3 517304
650 2 4 $a Complex Systems. $3 1566441
650 2 4 $a Philosophical Foundations of Physics and Astronomy. $3 3538898
650 2 4 $a Philosophy of Science. $3 894954
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
700 1 $a Frigg, Roman. $3 1074043
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Fundamental theories of physics ; $v v. 221. $3 3789877
856 4 0 $u https://doi.org/10.1007/978-3-031-77948-0
950 $a Physics and Astronomy (SpringerNature-11651)