Books and part of Books

New Release in 2020: Nanothermodynamics – General Theory

The world of small systems challenges standard knowledge. Can we use classical thermodynamics? The answer to that is no. The book discusses how Terrill Hill developed the field of nanothermodynamics, which applies perfectly well also to small systems, to address this problem. He introduced an ensemble of replicas of the small system and showed that the energy needed to add such a replica plays a crucial element in the description of the small system contribution.

The purpose of this book is to expand on and demonstrate Hill’s theory. His theory adds new terms to the thermodynamic equations, that are specific for system at the nanoscale. The new properties of these equations may be counter intuitive. The equation of state for a small system, for instance, is not given once and for all. It changes with the environmental variables and the shape that control the small system.

Within nanothermodynamics we can deal with single molecules, unlike in classical thermodynamics. Equilibrium conditions will change upon confinement. These features make nanothermodynamics very different from classical thermodynamics and relevant for the description of fluid transport in nanoporous media. Nanothermodynamics affects porous media on the micrometer scale. As soon as the system’s surface energy is sizable compared to the bulk energy, we need to consider small system effects. Scaling laws are presented which help to describe the small system over a range of sizes and to understand the large system limit better.

Publisher: PoreLab 
ISBN: 978-82-69187 (PoreLab)
ISBN: 978-82-691871-1-3 (printed version)

Paperback: 20 euros
ebook: free


About the authors:

Dick Bedeaux is associated member at the Center of Excellence, PoreLab since its creation. He was Professor of Physical Chemistry at the University of Leiden, The Netherlands, from 1984 to 2002, and held (from 2002 to 2011) a part-time Chair at the Norwegian University of Science and Technology (NTNU), Trondheim, Norway. He is now emeritus at both places. Bedeaux, together with Albano and Mazur, extended the theory of irreversible thermodynamics to surfaces. He has worked on curved surfaces. Bedeaux is a fellow of the American Physical Society, and the recipient of the Onsager Medal from the Norwegian University of Science and Technology. Together with Jan Vlieger he wrote the book Optical Properties of Surfaces (Imperial College Press, 2002, and revised edition 2004).

Signe Kjelstrup is Professor of Physical Chemistry since 1985 at the Norwegian University of Science and Technology (NTNU), Trondheim, Norway. She is principal investigator at the Center Of excellence, PoreLab. Until 2015, she was also a part-time Chair on irreversible thermodynamics and sustainable processes at the Technical University of Delft, The Netherlands. Her works in irreversible thermodynamics concern electrochemical cells, membrane systems and entropy production minimization in process equipment. She holds an honorary doctorate from the University of North East China, and has been a guest professor at Kyoto University, Japan, University of Barcelona, Spain.

Sondre Kvalvåg Schnell is Associate Professor at at the Norwegian University of Science and Technology (NTNU), Trondheim, Norway. His research focuses on numerical simulations, specifically on thermodynamics properties, both in equilibrium and non-equilibrium. His work targets two specific topics: transport in Magnesium Ion batteries, an alternative battery technology, and nanothermodynamics, which is the description of thermal properties of systems consisting of just a few atoms. In his work he uses molecular simulations, where he explicitly models single atoms, and how they interact with each other. Schnell is associated memebre at the Center Of Excellenece, PoreLab.

Book Launching on May 26th, 2020 at PoreLab

From left to right: Sondre Schnell, Signe Kjelstrup and Dick Bedeaux
Welcoming speech from Dick Bedeaux

Previous Release: Joint Acoustic and Electrical Measurements for Unfrozen Water Saturation Estimate – A Review

The previous laboratory study of joint electrical resistivity and acoustic velocity measurements is reviewed for both consolidated and unconsolidated permafrost in this paper. The relation of logarithm of resistivity log(R) and P-wave velocity Vp is a concave function. An increase of temperature, fine content, and salinity results in a decrease of both acoustic velocity and electrical resistivity. Electrical resistivity is sensitive to salinity, while acoustic velocity changes substantially near thawing temperature. The joint measurement results could be used to estimate unfrozen water saturation (UWS) based on Archie’s law, weighted equation (WE), or Kuster-Toksoz equations (KT). However, the estimated UWS from different methods is not always consistent. The difference can be up to 20%. It might be due to the fact that UWS is not the only parameter influencing the electrical and acoustic properties. In order to obtain consistent UWS, a joint model that combines the electrical effective medium theory (EMT) and the acoustic self-consistent approximation (SCA) is proposed. In this method, UWS and aspect ratio which describes particles shape are found simultaneously from the joint SCA-EMT model. Most of the results from the proposed method are between that of Archie’s law and WE method, which indicates that the electrical method might overestimate UWS and acoustic method might underestimate it.


Norwegian Univ. of Science and Technology (NTNU), Trondheim, Norway
Norwegian Univ. of Science and Technology (NTNU), Trondheim, Norway
Norwegian Univ. of Science and Technology (NTNU), Trondheim, Norway
Technical Univ. of Denmark (DTU), Copenhagen, Denmark
Norwegian Univ. of Science and Technology (NTNU), Trondheim, Norway
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