Zum Hauptinhalt springen Zur Suche springen Zur Hauptnavigation springen
Beschreibung

The first comprehensive graduate-level introduction to stochastic thermodynamics

Stochastic thermodynamics is a well-defined subfield of statistical physics that aims to interpret thermodynamic concepts for systems ranging in size from a few to hundreds of nanometers, the behavior of which is inherently random due to thermal fluctuations. This growing field therefore describes the nonequilibrium dynamics of small systems, such as artificial nanodevices and biological molecular machines, which are of increasing scientific and technological relevance.

This textbook provides an up-to-date pedagogical introduction to stochastic thermodynamics, guiding readers from basic concepts in statistical physics, probability theory, and thermodynamics to the most recent developments in the field. Gradually building up to more advanced material, the authors consistently prioritize simplicity and clarity over exhaustiveness and focus on the development of readers' physical insight over mathematical formalism. This approach allows the reader to grow as the book proceeds, helping interested young scientists to enter the field with less effort and to contribute to its ongoing vibrant development. Chapters provide exercises to complement and reinforce learning.

Appropriate for graduate students in physics and biophysics, as well as researchers, Stochastic Thermodynamics serves as an excellent initiation to this rapidly evolving field.

  • Emphasizes a pedagogical approach to the subject
  • Highlights connections with the thermodynamics of information
  • Pays special attention to molecular biophysics applications
  • Privileges physical intuition over mathematical formalism
  • Solutions manual available on request for instructors adopting the book in a course

The first comprehensive graduate-level introduction to stochastic thermodynamics

Stochastic thermodynamics is a well-defined subfield of statistical physics that aims to interpret thermodynamic concepts for systems ranging in size from a few to hundreds of nanometers, the behavior of which is inherently random due to thermal fluctuations. This growing field therefore describes the nonequilibrium dynamics of small systems, such as artificial nanodevices and biological molecular machines, which are of increasing scientific and technological relevance.

This textbook provides an up-to-date pedagogical introduction to stochastic thermodynamics, guiding readers from basic concepts in statistical physics, probability theory, and thermodynamics to the most recent developments in the field. Gradually building up to more advanced material, the authors consistently prioritize simplicity and clarity over exhaustiveness and focus on the development of readers' physical insight over mathematical formalism. This approach allows the reader to grow as the book proceeds, helping interested young scientists to enter the field with less effort and to contribute to its ongoing vibrant development. Chapters provide exercises to complement and reinforce learning.

Appropriate for graduate students in physics and biophysics, as well as researchers, Stochastic Thermodynamics serves as an excellent initiation to this rapidly evolving field.

  • Emphasizes a pedagogical approach to the subject
  • Highlights connections with the thermodynamics of information
  • Pays special attention to molecular biophysics applications
  • Privileges physical intuition over mathematical formalism
  • Solutions manual available on request for instructors adopting the book in a course
Über den Autor
Luca Peliti and Simone Pigolotti
Inhaltsverzeichnis
  • Foreword
  • Preface
  • Acknowledgments
  • Notation
  • CHAPTER 1 Motivation
    • 1.1 What is stochastic thermodynamics?
    • 1.2 Why does it work and why is it useful?
    • 1.3 Plan of the work
  • CHAPTER 2 Basics
    • 2.1 Thermodynamics
    • 2.2 Thermodynamic efficiency
    • 2.3 Free energy and nonequilibrium free energy
    • 2.4 Statistical mechanics
    • 2.5 Stochastic dynamics
    • 2.6 Master equations
    • 2.7 Trajectories of master equations
    • 2.8 Fokker-Planck equation (*)
    • 2.9 Langevin equation (*)
    • 2.10 Information
    • 2.11 Further reading
    • 2.12 Exercises
  • CHAPTER 3 Stochastic Thermodynamics
    • 3.1 The system
    • 3.2 Work and heat in stochastic thermodynamics
    • 3.3 Mesoscopic and calorimetric heat (*)
    • 3.4 ATP hydrolysis by myosin
    • 3.5 General reservoirs
    • 3.6 Stochastic entropy
    • 3.7 Stochastic entropy and entropy production in a manipulated two-level system
    • 3.8 Average entropy production rate
    • 3.9 Network theory of nonequilibrium steady states (*)
    • 3.10 Stochastic chemical reactions
    • 3.11 Linear response theory (*)
    • 3.12 More on coarse graining (*)
    • 3.13 Continuous systems (*)
    • 3.14 Further reading
    • 3.15 Exercises
  • CHAPTER 4 Fluctuation Relations
    • 4.1 Irreversibility and entropy production
    • 4.2 Integral fluctuation relation
    • 4.3 Dragged particle on a ring
    • 4.4 Back to linear response theory (*)
    • 4.5 Detailed fluctuation relation
    • 4.6 The Jarzynski and Crooks relations
    • 4.7 Instantaneous quench
    • 4.8 Fluctuation relations in practice
    • 4.9 Adiabatic and nonadiabatic entropy production and the Hatano-Sasa relation
    • 4.10 Systems with odd-parity variables
    • 4.11 Trajectory probability for Langevin equations (*)
    • 4.12 Fluctuation relation for the Langevin equation (*)
    • 4.13 Brownian particle in a time-dependent harmonic potential (*)
    • 4.14 Brownian motion with inertia (*)
    • 4.15 Hamiltonian systems (*)
    • 4.16 Further reading
    • 4.17 Exercises
  • CHAPTER 5 Thermodynamics of Information
    • 5.1 A brief history
    • 5.2 Back to nonequilibrium free energy
    • 5.3 Information in stochastic thermodynamics
    • 5.4 The Sagawa-Ueda relation
    • 5.5 The Mandal-Jarzynski machine
    • 5.6 Copying information
    • 5.7 Information cost in sensing
    • 5.8 Information reservoirs
    • 5.9 Fluctuation relations with information reservoirs (*)
    • 5.10 Further reading
    • 5.11 Exercises
  • CHAPTER 6 Large Deviations: Theory and Practice
    • 6.1 Large deviations in a nutshell
    • 6.2 Currents, traffic, and other observables
    • 6.3 Large deviations and fluctuation relations
    • 6.4 Fluctuation theorem for currents (*)
    • 6.5 Tilting
    • 6.6 Michaelis-Menten reaction scheme
    • 6.7 Fluctuation relations in a model of kinesin (*)
    • 6.8 Cloning (*)
    • 6.9 Levels of large deviations (*)
    • 6.10 Further reading
    • 6.11 Exercises
  • CHAPTER 7 Experimental Applications
    • 7.1 The hairpin as a paradigm
    • 7.2 A simpler model
    • 7.3 Equilibrium free energies from nonequilibrium manipulations
    • 7.4 Maxwell demons
    • 7.5 Landauer principle
    • 7.6 Further reading
  • CHAPTER 8 Developments
    • 8.1 Stochastic efficiency
    • 8.2 Uncertainty relations
    • 8.3 Applications of uncertainty relations
    • 8.4 First-passage times
    • 8.5 Fully irreversible processes
    • 8.6 Optimal protocols
    • 8.7 Martingales
    • 8.8 Random time
    • 8.9 Population genetics
    • 8.10 Further reading
    • 8.11 Exercises
  • CHAPTER 9 Perspectives
  • Appendixes
    • A.1 Convex functions and the Jensen inequality
    • A.2 Legendre transformation
    • A.3 Probabilities and probability distributions
    • A.4 Generating functions and cumulant generating functions
    • A.5 Ergodic properties of Markov processes
    • A.6 Gillespie algorithm
    • A.7 Derivation of the Fokker-Planck equation
    • A.8 Ito formula and Stratonovich-Ito mapping
    • A.9 Basis of the cycle space
    • A.10 Actions and trajectory probabilities for Langevin equations
    • A.11 The Bennett-Crooks estimator for the free-energy difference
    • A.12 Cauchy-Schwarz inequality
    • A.13 Bound for the current rate function
  • Bibliography
  • Author Index
  • Index
Details
Erscheinungsjahr: 2021
Fachbereich: Thermodynamik
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Einband - fest (Hardcover)
ISBN-13: 9780691201771
ISBN-10: 0691201773
Sprache: Englisch
Einband: Gebunden
Autor: Peliti, Luca
Pigolotti, Simone
Hersteller: Princeton University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 259 x 185 x 21 mm
Von/Mit: Luca Peliti (u. a.)
Erscheinungsdatum: 06.07.2021
Gewicht: 0,744 kg
Artikel-ID: 121094945