Granular materials are an integral part of our everyday life. They are also the base material for most industrial processing techniques. The highly dissipative nature of the particle collisions means energy input is needed in order to mobilize the grains. This interplay of dissipation and excitation leads to a wide variety of pattern formation processes, which are addressed in this book. The reader is introduced to this wide field by, first, a description of the material properties of granular materials under different experimental conditions that are important in connection with the pattern formation dynamics and, second, by further details given later on in the description of the specific system.

Within the framework of Jaynes' "Predictive Statistical Mechanics," this book presents a detailed derivation of an ensemble formalism for open systems arbitrarily away from equilibrium. This involves a large systematization and extension of the fundamental works and ideas of the outstanding pioneers Gibbs and Boltzmann, and of Bogoliubov, Kirkwood, Green, Mori, Zwanzig, Prigogine and Zubarev, among others.
Chapters 1 to 5 include a description of the philosophy, foundations, and construction (methodology) of the formalism, including the derivation of a nonequilibrium grand-canonical ensemble for far-from-equilibrium systems as well as the derivation of a quantum nonlinear kinetic theory and a response function theory together with a theory of scattering. In chapter 6 applications of the theory are cataloged, making comparisons with experimental data (a basic step for the validation of any theory). Chapter 7 is devoted to the description of irreversible thermodynamics, providing a far-reaching generalization of Informational-Statistical Thermodynamics. The last chapter gives an overall picture of the formalism, and questions and criticisms related to it are discussed.
Audience: This book is directed at an audience of researchers in the field of Statistical Mechanics and Thermodynamics of open nonequilibrium systems. In addition, it is relevant for the study of far-from-equilibrium processes in condensed matter, particularly semiconductor physics, as well as molecular Hydrodynamics, Rheology, many-body systems with complex behavior and areas of engineering, etc. The book can also be used as a complement to advanced graduate courses in Statistical Mechanics.

Springer-Verlag 2003 This issue is dedicated to Doctor Shuji Saito on the occasion of the 50th anniversary of his ?rst paper published in the Journal of German Colloid Society. The paper entitled ''Die Solubilisation von Polyvinylazetat'' by N. Sata and S. Saito appeared in the Kolloid Zeitschrift (1952) 128: 154. According to the title, the paper dealt with the solubilization of poly(vinyl acetate) (PVAc) in aqueous sodium dodecyl sulfate (SDS) solutions. The authors observed that PVAc, a water-insoluble polymer, is c- pletely dissolved by micellar SDS solutions, a result that mostly intrigued them. One has to recall that at that time, the micellar solubilization was the only available theory to explain the dissolution of hydrophobic compounds in micellar systems. The theory worked well in the case of low molecular weight compounds like hydrocarbons, oleophilic dyes, etc., which are solubilized in the inner core of the micelle, but how can a small micelle accommodate a giant polymer molecule? To solve this problem Sata and Saito originally proposed a model consisting of surfactant aggregates formed along the polymer backbone. The model based on simple viscometric measurements was later in the eighties con?rmed by the advent of the more sophisticated neutron scattering technique and is nowadays called the ''necklace model''. During his career, Dr.

Experiments with rubber balloons and rubber sheets have led to surprising observations, some of them hitherto unknown or not previously described in the literature. In balloons, these phenomena are due to the non-monotonic pressure-radius characteristic which makes balloons a subject of interest to physicists engaged in stability studies. Here is a situation in which symmetry breaking and hysteresis may be studied analytically, because the stress-stretch relations of rubber - and its non-convex free energy - can be determined explicitly from the kinetic theory of rubber and from non-linear elasticity. Since rubber elasticity and the elasticity of gases are both entropy-induced, a rubber balloon represents a compromise between the entropic tendency of a gas to expand and the entropic tendency of rubber to contract. Thus rubber and rubber balloons furnish instructive paradigms of thermodynamics. This monograph treats the subject at a level appropriate for post-graduate studies.

Dry granular materials, such as sand, sugar and powders, can be poured into a container like a liquid and can also form a pile, resisting gravity like a solid, which is why they can be regarded as a fourth state of matter, neither solid nor liquid. This book focuses on defining the physics of dry granular media in a systematic way, providing a collection of articles written by recognised experts. The physics of this field is new and full of challenges, but many questions (such as kinetic theories, plasticity, continuum and discrete modelling) also require the strong participation of mechanical and chemical engineers, soil mechanists, geologists and astrophysicists. The book gathers into a single volume the relevant concepts from all these disciplines, enabling the reader to gain a rapid understanding of the foundations, as well as the open questions, of the physics of granular materials. The contributors have been chosen particularly for their ability to explain new concepts, making the book attractive to students or researchers contemplating a foray into the field. The breadth of the treatment, on the other hand, makes the book a useful reference for scientists who are already experienced in the subject.

The rapidly-developing field of confined polymers is reviewed in this volume. Special emphasis is given to polymer aspects of this interdisciplinary problem. Taken together, the contributions offer ample evidence of how the field of polymer science continues to evolve with the passage of time. The topics revolve around the tendency of surfaces to impede chain relaxation and to stimulate new sorts of chain organization. These have been implicated in a variety of spectacular phenomena. Here is a listing of authors and affiliations: K. Binder (Johannes Gutenberg-Universit t Mainz, Germany); P.-G. de Gennes (College de France, France); E.P. Giannelis, R. Krishnamoorti, and E. Manias (Cornell University and University of Houston, USA); G.S. Grest (Exxon Research and Engineering Co., USA); L. Leger, E. Raphael, and H. Hervet (College de France, France); S.-Q. Wang (Case Western Reserve University, USA).

In Statistical Physics one of the ambitious goals is to derive rigorously, from statistical mechanics, the thermodynamic properties of models with realistic forces. Elliott Lieb is a mathematical physicist who meets the challenge of statistical mechanics head on, taking nothing for granted and not being content until the purported consequences have been shown, by rigorous analysis, to follow from the premises. The present volume contains a selection of his contributions to the field, in particular papers dealing with general properties of Coulomb systems, phase transitions in systems with a continuous symmetry, lattice crystals, and entropy inequalities. It also includes work on classical thermodynamics, a discipline that, despite many claims to the contrary, is logically independent of statistical mechanics and deserves a rigorous and unambiguous foundation of its own. The articles in this volume have been carefully annotated by the editors.

A knowledge of the mechanical behaviour of both naturally occurring materials, such as soils and rocks, and artificial materials such as concrete and industrial granular matter, is of fundamental importance to their proper use in engineering and scientific applications. This volume contains selected lectures by international experts on current developments and problems in the numerical modelling of cohesive-frictional materials which provide a deeper understanding of the microscopic and macroscopic description of such materials. This book fills a gap by emphasizing the cross-fertilization of ideas between engineers and scientists engaged in this exciting field of research.

It has been more than 80 years since Valasek first recognized the existence of a dielectric analogue to ferromagnetism, ferroelectricity, in Rochelle salt. Much as with semiconductor research, the initial studies of ferroelectric materials focused on homogeneous materials. Unlike semiconductor research, however, which rapidly expanded into n- homogeneous structures and devices, investigations of compositionally graded and layered ferroelectrics have been relatively recent endeavors. Indeed, many of the most significant results and analysis pertaining to polarization-graded ferroelectrics have only appeared in publication within the last ten years. Further extensions of these concepts to the general class of order-parameter graded ferroic materials, as depicted on the cover of this book, have (with one exception) been totally lacking. It was thus with a great deal of excitement that we assembled the manuscript for this book. The primary focus of this study is directed toward polarization-graded ferroelectrics and their active components, transpacitors; however, the findings presented here are quite general. The theory of graded 2 and 5; whereas, much of the ferroics is put on a solid foundation in chapters introductory material relies more heavily upon analogy. This was done so as to provide the reader with an intuitive approach to graded ferroics, thereby enabling them to see heterogeneous ferroics as clearly logical extensions of passive semiconductor junction devices such as p-n and n-p diodes and their active manifestations, transistors, to: transpacitors, transductors, translastics, and ultimately to the general active ferroic elements, transponents.

Segregation is a pervasive phenomenon whereby a flowing granular mass consisting of particles with diverse physical properties becomes spatially inhomogeneous. In the industrial sector that deals with the handling and processing of bulk solids, this non-uniformity is highly undesirable since blend homogeneity is generally a stringent requirement of most products. In the arena of geophysical flows, segregation can enhance the destructive capabilities of natural events such as avalanches and landslides. During the last 15 years, these issues have provided motivation and fostered collaborations between the communities of mathematicians, engineers, industrial researchers, and physicists to develop predictive models of segregation by integrating the perspectives and approaches of each. The collection of unique papers brings to light many of the perplexing scientific and technical issues in our current understanding of this complex phenomenon. It addresses advances in experiment, computational modeling and theory. This volume is one of the very few books devoted entirely to problems of segregation of particulate solids.

The almost universal presence of water in our everyday lives and the very common' nature of its presence and properties possibly deflects attention from the fact that it has a number of very unusual characteristics which, furthermore, are found to be extremely sensitive to physical parameters, chemical environment and other influences. Hydrogen-bonding effects, too, are not restricted to water, so it is necessary to investigate other systems as well, in order to understand the characteristics in a wider context. Hydrogen Bond Networks reflects the diversity and relevance of water in subjects ranging from the fundamentals of condensed matter physics, through aspects of chemical reactivity to structure and function in biological systems.

A totally new concept for clean surface processing of Si wafers is introduced in this book. Some fifty distinguished researchers and engineers from the leading Japanese semiconductor companies, such as NEC, Hitachi, Toshiba, Sony and Panasonic as well as from several universities reveal to us for the first time the secrets of these highly productive institutions. They describe the techniques and equipment necessary for the preparation of clean high-quality semiconductor surfaces as a first step in high-yield/high-quality device production. This book thus opens the door to the manufacturing of reliable nanoscale devices and will be extremely useful for every engineer, physicist and technician involved in the production of silicon semiconductor devices.

Topics include the theory of atom tunneling reactions, conclusive evidence and controlling factors for such reactions in solid hydrogen, tunneling dislocation motion, coherent tunneling diffusion, the production of interstellar molecules and semiconductors using tunneling reactions, the effect of atom tunneling on molecular structure and crystalline structure, the suppression of mutation and cancer by an atom tunneling reaction of vitamin C, and atom tunneling reactions of vitamin E and of enzymes.

Considering the high level of our knowledge concerning covalent bond formation in the organic chemistry of molecules, our understanding of the principles involved in organic solid design is almost in its infancy. While chemists today are able to synthesize organic molecules of very high complexity using sophisticated methods of preparation, they lack general approaches enabling them to reliably predict organic crystalline or solid structures from molecular descriptors - no matter how simple they are. On the other hand, nearly all the organic matter surrounding us is not in the single-molecule state but aggregated and condensed to form liquid or solid molecular assemblages and structural arrays giving rise to the appearances and properties of organic compounds we usually observe. Obviously, the electrical, optical or magnetic properties of solid organic materials that are important requirements for future technologies and high-tech applications, as well as the stability and solubility behavior of a medicament depend on the structure of the molecule and the intramolecular forces, but even more decisively on the intermolecular forces, i. e. the packing structure of the molecules to which a general approach is lacking. This situation concerned ]. Maddox some years ago to such a degree that he described it as "one of the continuing scandals in the physical sciences" [see (1998) Nature 335:201; see also Ball, P. (1996) Nature 381:648]. The problem of predicting organic solid and crystal structures is very dif- cult.

I would like to present to a wide circle of the readers working in quantum chem- istry and solid-state physics, as ,,*ell as in other fields of many-body physics and its interfaces, this book deyoted to density functional theory written by my colleagues Eugene S. Kryachko and Eduardo Y. Ludena. Their ways to this theory are rather different although basically both of them are quantum chemical. Eugene S. Kryachko came to energy density functional theory from the theory of reduced density matrices, and Eduardo \'. Ludena dewloped earlier the concept of loges in quantum chemistry. Neyertheless, their earlier interests giw the possibility to consolidate and formulate energy density functional theory in a unified and consistent way, in my opinion. Raymond Daudel Paris ACKNOWLEDGMENTS The authors are indebted to Carl Almbladh, Victor Va. Antonchenko, John Avery, Richard F. W. Bader, Ulf \'on Barth, Jean-Louis Calais, A. John Coleman, Jens P. Dahl, Robert Donnelly, Harold Englisch, Robert 1\1. Erdahl, Oswaldo Goscinski, John E. Harriman, Gintas Kamuntavichius, Illja G. Kaplan, Jaime Keller, \'alentin Khart- siev, Toshikatsu Koga, Per-Olov Lo\ydin, T. Tung Nguyen-Dang, Ivan Zh. Petkov, Jerome K. Percus, l\lary Beth Ruskai, John R. Sabin, Zdenek Slanina, \'ladimir Shi- rokov, l\lario V. Stoitsov, Yoram Tal, and \Vaitao Yang, who in one way or another, either through their kind support, help, discussions or valuable comments created the human and intellectual background which made this book possible.

While the discovery that heating oxygen-rich silicon to around 450 C produces electrically active defects dates back to 1954, the details of the processes by which the donors and other defects are generated remain obscure today. The fact that there is only one oxygen atom in about ten thousand silicon atoms means that it is difficult to devise experiments to see what happens during the early stages of oxygen precipitation when complexes of two, three or four oxygen atoms are formed. But important new findings are emerging from the careful monitoring of the changes in IR lattice absorption spectra over long time periods, observation of the growth of new bands that are correlated with electronic IR data, and high resolution ENDOR studies. Better samples are also becoming available for study, and great advances have been made in modelling techniques. The emphasis of the present book is on the fundamental issues of oxygen diffusion, the properties of small oxygen aggregates, and the effects of H, N, and C on oxygen precipitation. With extended reviews by G.D. Watkins, R.C. Newman, J.L. Lindstrom, C.A.J. Amerlaan, M. Spaeth, V. Merkevich, J. Weber, R. Jones, P. Deak, S.K. Estreicher, S.T. Pantelides, M. Suezawa, U. Gosele, K. Sumino, B. Pajot and E.C. Lightowlers in addition to 26 contributed papers, the proceedings contain the latest results on the vibrational spectroscopy of thermal donors, the enhanced diffusion of oxygen dimers, magnetic resonance, theoretical modelling, and the influence of H on oxygen diffusion. Audience: All researchers working in the field of silicon technology, especially those dealing with defects and defect control in Czochralski silicon."

This introductory level text addresses the broad range of nonequilibrium phenomena observed at short time scales. It focuses on the important questions of correlations and memory effects in dense interacting systems. Experiments on very short time scales are characterized, in particular, by strong correlations far from equilibrium, by nonlinear dynamics, and by the related phenomena of turbulence and chaos. The impressive successes of experiments using pulsed lasers to study the properties of matter and of the new methods of analysis of the early phases of heavy ion reactions have necessitated a review of the available many-body theoretical methods. The aim of this book is thus to provide an introduction to the experimental and theoretical methods that help us to understand the behaviour of such systems when disturbed on very short time scales.

"Nanotechnology" isa broad term that includes aspects of materials science, mesoscopicphysics, organicandinorganicchemistry, na- electronics, atmosphericchemistry, airpollution, and other?elds. The technology is very muchincurrent focus-at the beginning of the Third Millennium-and raises hopes for environmentally benign, resource-lean manufacturing of products of manykinds. One precursor to present-day nanotechnology used porous coatings, comprised of "ultra?ne" particles withdimensions inthe nanometer range, for absorption of thermal radiation on thermocouples, bolometers, and the like. These particles were prepared by gas-phase syntheses, speci?cally using species formed by nucleation andgrowth from a metalvapor - dergoing coolingby collisions withinert gas molecules. Such "inert gas evaporation" was explored inthe 1920s and 1930s see, for example, A.H. Pfund, Phys. Rev. 35 (1930) 1434]andwas investigated in moredetail in the 1960s and 1970s see, for example, K. Kimoto et al., Jpn. J. Appl. Phys. 2 (1963) 702; C.G. Granqvist and R.A. Buhrman, J. Appl. Phys.47 (1976) 2200]. Improved analytical capabilities(electron microscopy)as well as new applications (selective absorption of solar energy) were twoofthe r- sons for the renewed interest. Today, gas-phase synthesis of nanoparticles constitutesthe foundation for a pro?table butstill small industry. Aerosols, i.e., dispersions or suspensions of particles ina gas, form the background ?eld for contemporaryefforts in gas-phase nanotechnology. Interest inaerosol researchhistorically arose from the issues of atmospheric chemistry and physics, human health protection, and airpollution. Today, aerosol researchengagesa vast array of efforts inthese and related ?elds, andelsewherein work identi?ed as nanotechnology.

Critical phenomena arise in a wide variety of physical systems. Classi cal examples are the liquid-vapour critical point or the paramagnetic ferromagnetic transition. Further examples include multicomponent fluids and alloys, superfluids, superconductors, polymers and fully developed tur bulence and may even extend to the quark-gluon plasma and the early uni verse as a whole. Early theoretical investigators tried to reduce the problem to a very small number of degrees of freedom, such as the van der Waals equation and mean field approximations, culminating in Landau's general theory of critical phenomena. Nowadays, it is understood that the common ground for all these phenomena lies in the presence of strong fluctuations of infinitely many coupled variables. This was made explicit first through the exact solution of the two-dimensional Ising model by Onsager. Systematic subsequent developments have been leading to the scaling theories of critical phenomena and the renormalization group which allow a precise description of the close neighborhood of the critical point, often in good agreement with experiments. In contrast to the general understanding a century ago, the presence of fluctuations on all length scales at a critical point is emphasized today. This can be briefly summarized by saying that at a critical point a system is scale invariant. In addition, conformal invaTiance permits also a non-uniform, local rescal ing, provided only that angles remain unchanged."

Deals with the influence of stoiciometry and order/disorder on materials properties. It summarizes the knowledge available in a comprehensive way.

This is an approachable introduction to the important topics and recent developments in the field of condensed matter physics. First, the general language of quantum field theory is developed in a way appropriate for dealing with systems having a large number of degrees of freedom. This paves the way for a description of the basic processes in such systems. Applications include various aspects of superfluidity and superconductivity, as well as a detailed description of the fractional quantum Hall liquid.

Biomaterials repair, reinforce or replace damaged functional parts of the (human) body. All mechanical and biological interactions between an implant and the body occur across the interface, which has to correspond as nearly as possible to its particular function. Much of the progress in adapting polymer materials for use in a biological environment has been obtained through irradiation techniques. For this reason the most recent developments in four key areas are reviewed in this special volume: (1) the analysis of the topology and the elemental composition of a functional surface, (2) the chemical modification of the surface which results in highly pure, sterile and versatile surfaces, (3) the sterilisation of implantable devices via ionising radiation and its possible effects on the structural mechanical properties of polymers, and (4) the radiation effects on living cells and tissues which are of particular importance for radiation protection and radiotherapy.

The application to Biology of the methodologies developed in Physics is attracting an increasing interest from the scientific community. It has led to the emergence of a new interdisciplinary field, called Physical Biology, with the aim of reaching a better understanding of the biological mechanisms at molecular and cellular levels. Statistical Mechanics in particular plays an important role in the development of this new field.

For this reason, the XXth session of the famous Sitges Conference on Statistical Physics was dedicated to "Physical Biology: from Molecular Interactions to Cellular Behavior." As is by now tradition, a number of lectures were subsequently selected, expanded and updated for publication as lecture notes, so as to provide both a state-of-the-art introduction and overview to a number of subjects of broader interest and to favor the interchange and cross-fertilization of ideas between biologists and physicists.

The present volume focuses on three main subtopics (biological water, protein solutions as well as transport and replication), presenting for each of them the on-going debates on recent results. The role of water in biological processes, the mechanisms of protein folding, the phases and cooperative effects in biological solutions, the thermodynamic description of replication, transport and neural activity, all are subjects that are revised in this volume, based on new experiments and new theoretical interpretations.

As in other scientific fields, the importance of boundary areas in wood research, such as that between lignin chemistry and hemicellulose chemis- try, continues to increase. Although the utilization of individual wood components has advanced to an appreciable extent, research into oligo- merie or polymerie compounds of two or more different components has made little progress. By contrast, in other fields, glycoproteins and pro te- oglycans have been found to form biochemical active centers in enzymes and microbes. The association between lignin and carbohydrates in lignified plants was first recognized in 1866. However, research has advanced slowly because of difficulty in the isolation and determination of wood glycocon- jugates, whieh likely have an important influence on the formation of wood, pulping behavior, pulp quality and digestibility by ruminants. Most plants contain both hydrophilie polysaccharides and hydrophobie lignins in their tissues. Lignins have been recognized to not only give mechanieal strength or rigidity to a tree or wood, but also to prevent invasion by fungi, and provide cell wall material, especially in the tracheids and vessels that deliver water extracted from the soil to the top of woody plants. How- ever, in trees, lignins have been found to interact with the polysaccharides, partieularly hemicelluloses, with whieh they coexist, leading to the forma- tion of another chemical component, a kind of glycoconjugate. Therefore, it is necessary to inc1ude lignin or p-hydroxycinnamie acids in any discus- sion on wood hemieelluloses.