This book grew out of an idea to study properties of small subsystems of a large reservoir. Observations were at the time not explainable with standard thermodynamics. But the theory of Hill on thermodynamics of small systems provided the systematic procedure needed to address the problem. Following Hill, thermodynamics can be formulated for the nanoscale!The purpose of this book is to expand and demonstrate Hill's theory. The theory adds a new term to the fundamental Gibbs equation, that is specific for systems at the nanoscale. The properties that follow may be counter intuitive. The equation of state for a small system, for instance, is not given once and for all. We shall see that it changes with the environmental variables that control the small system. The statistical mechanical machinery remains as before, however.The world of small systems challenges the standard knowledge; that the number of particles in a system must be very large for thermodynamic equations to apply. We shall see that thermodynamic equations apply perfectly well also for small particle numbers, provided that small-system effects are accounted for correctly. In the world where size and shape are central, we shall find that equations of state can be used down to one particle in a box! There are scaling laws, which help us determine and understand the large system limit better!In the first part, the authors highlight the basic idea of the theory and provide a more systematic method, than used before. In the second part, the authors demonstrate the power of the theory in a set of central applications of nanoscience in and away from equilibrium, for other scientists to be inspired for further use.

The book describes in a simple and practical way what non-equilibrium thermodynamics is and how it can add to engineering fields. It explains how to describe proper equations of transport, more precise than used so far, and how to use them to understand the waste of energy resources in central unit processes in the industry. It introduces the entropy balance as an additional equation to use, to create consistent thermodynamic models, and a systematic method for minimizing energy losses that are connected with transport of heat, mass, charge, momentum and chemical reactions. Readership: Senior undergraduate and graduate students in physics, chemistry, chemical engineering and mechanical engineering.

This book utilizes non-equilibrium thermodynamics to describe transport in complex, heterogeneous media. There are large coupling effects between transport of heat, mass, charge and chemical reactions at surfaces, and it is important to know how one should properly integrate across systems where different phases are in contact. There is no other book available today that gives a prescription of how to set up flux equations for transports across heterogeneous systems.

Kjelstrup, Bedeaux, Johannessen, and Gross describe what non-equilibrium thermodynamics is in a simple and practical way and how it can add to engineering design. They explain how to describe proper equations of transport that are more precise than those used so far, and how to use them to understand the waste of energy resources in central process units in the industry. The authors introduce the entropy balance as an additional equation to use in engineering; to create consistent thermodynamic models, and to systematically minimize energy losses that are connected with the transport of heat, mass, charge and momentum.Non-equilibrium Thermodynamics for Engineers teaches the essence of non-equilibrium thermodynamics and its applications at a level comprehensible to engineering students, practitioner engineers, and scientists working on industrial problems. The book may be used as a textbook in basic engineering curricula or graduate courses.

The 11th Conference of the European Colloid and Interface Society (ECIS) was held in September 1997 in Lunteren, The Netherlands. The scientific program covered theoretical, experimental, and technical aspects of modern colloid and interface science. This volume contains a selection of contributions in the following fields: New topics in colloid science Polymer colloids Rheology Surfactant colloids Polymers and surfactants at interfaces