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"Predictive theories of phenomena involving phase change with applications in engineering are investigated in this volume, e.g. solid-liquid phase change, volume and surface damage, and phase change involving temperature discontinuities. Many other phase change phenomena such as solid-solid phase change in shape memory alloys and vapor-liquid phase change are also explored. Modeling is based on continuum thermo-mechanics. This involves a renewed principle of virtual power introducing the power of the microscopic motions responsible for phase change. This improvement yields a new equation of motion related to microscopic motions, beyond the classical equation of motion for macroscopic motions. The new theory sensibly improves the phase change modeling. For example, when warm rain falls on frozen soil, the dangerous black ice phenomenon can be comprehensively predicted. In addition, novel equations predict the evolution of clouds, which are themselves a mixture of air, liquid water and vapor."

"The interconnection between probability and analysis also plays a central role in the present book. However, this book approach is mainly based on the application of analysis methods (the method of operator identities, integral equations theory, dual systems, integrable equations) to probability theory (Levy processes, M. Kac's problems, the principle of imperceptibility of the boundary, signal theory). The essential part of the book is dedicated to problems of statistical physics (classical and quantum cases). We consider the corresponding statistical problems (Gibbs-type formulas, non-extensive statistical mechanics, Boltzmann equation) from the game point of view (the game between energy and entropy). One chapter is dedicated to the construction of special examples instead of existence theorems (D. Larson's theorem, Ringrose's hypothesis, the Kadison-Singer and Gohberg-Krein questions). This book also investigate the Bezoutiant operator. "

"The main subject of the book is the continuum, field theoretic method of study of phase transformations in material systems. The method, also known as "phase field", allows one to analyze different stages of transformations on the unified platform. It has received significant attention in the materials science community recently due to many successes in solving or illuminating important problems. The book will address fundamentals of the method starting from the classical theories of phase transitions, the most important theoretical and computational results, and some of the most advanced recent applications."

"The remarkable evolution of econophysics research has brought the deep synthesis of ideas derived from economics and physics to subjects as diverse as education, banking, finance, and the administration of large institutions. The original papers in this collection present a broad summary of these advances, written by interdisciplinary specialists. Included are studies on subjects in the development of econophysics; on the perspectives offered by econophysics on large problems in economics and finance, including the 2008-9 financial crisis; and on higher education and group decision making. The introductions and insights they provide will benefit everyone interested in applications of this new transdisciplinary science."

"This volume sharpens our picture of the applications of conformal invariance, introducing non-local observables such as loops and interfaces before explaining how they arise in specific physical contexts. It then shows how to use conformal invariance to determine their properties. Moving on to cover key conceptual developments in conformal invariance, the book devotes much of its space to stochastic Loewner evolution (SLE), detailing SLE’s conceptual foundations as well as extensive numerical tests. The chapters then elucidate SLE’s use in geometric phase transitions such as percolation or polymer systems, paying particular attention to surface effects. "

"Futures prices series CPO (crude palm oil) COMMEX Malaysia sepanjang 20 tahun (23 Okt 1980 — 31 Mar 2000) menunjukkan distribusi yang tidak normal (leptokurtis), memiliki pola autokorelasi yang sangat lambat menuju nol, dan tampak memiliki suatu sikius nonperiodik. Penyimpangan dan normalitas dapat merupakan simtom adanya proses nonilnier dinamis.Pengujian ARCH standar dengan LM Test menunjukkan adanya efek ARCH. Tetapi pola autokorelasi residual kuadrat dan semua frekwensi time series yang diteliti (bulanan, mingguan, dan harian) seluruh dengan sangat lambat dan tidak teratur, dan keadaan ini bukanlah perilaku dan proses ARCH. Proses ARCH umumnya memiliki unconditional third moment sama dengan nol, yaitu distribusi yang simetris, tetapi semua time series dalam penelitian ini menunjukkan skewness yang positif (positively skewed).Model GARCH(1,1) mendrikan bahwa unconditional second moment pada time series adalah tidak terhingga. Tetapi Dickey-Fuller Test dan Philips-Perron Test semuanya menyimpulkan bahwa time series adalah stasioner dengan nilai rata-rata dan variansi yang terhingga. Sehingga model GARCH(1,1) juga kurang cocok merepresentasikan prices series CPO COMMEX Malaysia.Komoditi minyak kelapa sawit (palm oil) dalam perdagangan minyak nabati dunia dewasa ini menduduki urutan kedua setelah minyak kedelai (soybean oil). Malaysia tercatat sebagai produsen CPO (crude palm oil) terbesar di dunia, kontribusinya adalah 49,7 % dan total produksi CPO dunia. Minyak sawit dan minyak inti sawit bagi Malaysia merupakan penghasil devisa terbesar setelah minyak. Sekarang ini Malaysia mengekspor 99,8 % dari minyak sawitnya dalam bentuk produk-produk rafinasi dan fraksinasì. Industri sawit di Malaysia dikelola dengan sangat baik dan ditunjang oleh rencana pembangunan 5 tahun Malaysia.Mempertimbangkan hal-hal di atas, maka pergerakan harga CPO seharusnya ada unsur deterministiknya tidak sekedar pergerakan yang random. Juga diharapkan adanya suatu siklus pergerakan harga CPO yang berkaitan dengan faktor-faktor deterministik tersebut. Dalam karya akhir ini penulis bertujuan membuktikan eksistensi deterministic chaos dalam future prices CPO COMMEX Malaysia.Proses chaotic dapat menunjukkan perilaku stokastik yang dibangkitkan oleh suatu sistem deterministik. Karena dinamika yang teramati tampak seperti proses random, maka metoda konvensional akan cenderung menyimpulkan proses tersebut sebagai random walk.Sistem nonlinear dinamis tidak menghasilkan suatu solusi optimal tunggal, ia menghasilkan suati ruang kemungkinan solusi berganda (multiple possible solutions), sebingga tidak berlaku konsep equlibrium statis. Sistem nonlinear dinamis merupakan suatu time-dependent feedback mechanism, dengan demikian sistem harus dipandang sebagai proses yang memillki suatu memory, bukannya suatu proses yang independent.Karakteristlk chaos yang penting adalah adanya attractor berdimensi fractal (noninteger). Algoritma yang dikembangkan oleh Grassberger & Procaccia mengestimasi nilal fractal dimension ini dengan correlation dimension. Karakteristik penting lainnya yang dapat menjelaskan perilaku deterministic chaos adalah maximum Lyapunov exponent yang bertanda position. Penulis menggunakan algoritrna Wolf untuk menghitung maximum Lyapunov exponent secara numerik."

"What are the principles that keep our society together? By examining simple models of social interaction, this volume addresses this question, offering surprising insights into the social, "macro-level" outcomes and dynamics implied by individual, "micro-level" interactions."

"The present volume, covering such topics as quantum phase transitions of antiferromagnets and cuprate-based high-temperature superconductors, electronic liquid crystal phases, graphene physics, dynamical mean field theory applied to strongly correlated systems, transport through quantum dots, quantum information perspectives on many-body physics, frustrated magnetism, statistical mechanics of classical and quantum computational complexity, and integrable methods in statistical field theory. "