Nonequilibrium Statistical Mechanics I

Foundations and Modern Applications
Erscheinungsjahr 2025
ISBN: 978-3-031-98248-4
Verlag: Springer

Buch, Englisch, 330 Seiten, Format (B × H): 155 mm x 235 mm

Reihe: Theoretical and Mathematical Physics

This textbook offers a clear, unified introduction to nonequilibrium statistical mechanics. It combines the classical foundations of equilibrium and nonequilibrium thermodynamics with the field's latest advances. Key topics include Brownian motion, fluctuations theory, the Boltzmann equation, and probability measures in phase space. A common mathematical framework links linear-response theory, transport processes, large-deviation principles, and stochastic dynamics.

A companion Volume II will extend the discussion to applications such as anomalous transport, living matter, molecular dynamics, and open quantum systems. 

The book is written for researchers in applied mathematics, theoretical physics, biophysics, and theoretical chemistry who study nonequilibrium phenomena. It is equally suited to graduate students seeking an accessible path to advanced topics in thermodynamics, transport theory, fluctuation dynamics, and dissipation. It also serves as a reference for graduate courses on  statistical mechanics, stochastic systems, and quantum thermodynamics.

Zielgruppe

Graduate

Autoren/Hrsg.

Mejía-Monasterio, Carlos

Rondoni, Lamberto

Fachgebiete

• Naturwissenschaften Chemie Physikalische Chemie Quantenchemie, Theoretische Chemie
• Naturwissenschaften Physik Quantenphysik Atom- und Molekülphysik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde
• Mathematik | Informatik Mathematik Stochastik
• Naturwissenschaften Physik Angewandte Physik Biophysik
• Naturwissenschaften Physik Thermodynamik

Inhaltsverzeichnis

1. Introduction.- 2. Hydrodynamics and nonequilibrium thermodynamics.- 3. The Brownian motion and its legacy.- 4. Energy equipartition, virial theorem and Boyle’s law.- 5. Probabilities in phase space.- 6. Linear response theory.

Über Autor(innen)

Carlos Mejía-Monasterio is a Professor of Physics and Mathematics at the Technical University of Madrid, Spain. His research lies at the intersection between statistical physics, dynamical systems and stochastic processes, with significant contributions to nonequilibrium statistical mechanics. His work explores how macroscopic phenomena emerge from microscopic dynamics, covering topics such as low-dimensional transport, nonequilibrium fluctuations, stochastic thermodynamics, active transport, and interacting particle systems. 

Lamberto Rondoni is Professor of Mathematical Physics at Politecnico di Torino, Italy. He specializes in nonequilibrium statistical mechanics and its applications across science and technology. He has contributed to the development of the theory of fluctuations and the theory of response to perturbations for nonequilibrium systems, with applications ranging from nanotechnology to climate science. He has also worked on kinetic theory and transport phenomena. He is interested in the foundations of Physics, in the theory of equivalence of ensembles and in the relation between deterministic and stochastic models. He has published various popular essays.