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From Brownian motion to power of fluctuations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Berche Holovko Trokhymchuk Vlachy |
| Copyright Year | 2012 |
| Abstract | The year 2012 marks the 140th birth anniversary of Marian Smoluchowski (28.05.1872–5.09.1917), a man who “made ground-breaking contribution to the theory of Brownian motion, the theory of sedimentation, the statistical nature of the Second Law, the theory and practice of density fluctuations (critical opalescence). During his final years of scientific creativity his pioneering theory of coagulation and diffusion-limited reaction rate appeared. These outstanding achievements present true gems which dominate the description of soft matter physics and chemical physics as well as the related areas up till now!” This quotation was taken from the lecture by Peter Hänggi given at international conference Statistical Physics: Modern Trends and Applications that took place in Lviv, Ukraine on July 3–6, 2012 (see http://www.icmp.lviv.ua/statphys2012/ for more details) and was dedicated to the commemoration of Smoluchowski’s work. This and forthcoming issues of the Condensed Matter Physics contain papers presented at this conference. Marian Smoluchowski’s (Maryan Ritter von Smolan Smoluchowski) life was bright but, unfortunately, ended up far too early. Being Polish by origin, Marian Smoluchowski was born in Vienna. Here he was growing up, studying and in 1895 received his doctoral degree from the University of Vienna. At the age of forty five Marian Smoluchowski unexpectedly died in Kraków, shortly after moving there from Lviv, where he spent his most fruitful fourteen years from 1899 till 1913, all this time working for the Lviv University. A detailed study of this period of Marian Smoluchowski’s life is presented in the article by Andrij Rovenchak that follows this preface note. Besides other details, this paper presents a complete list of papers by Smoluchowski that refer to the Lviv period of his life. Among this list one will find his keystone papers on the temperature jump at the surface of a solid body, on the theory of fluctuations and the theory of Brownian motion, on kinetic theory of colloid coagulation and electrokinetic phenomena. This special issue of Condensed Matter Physics, entitled From Brownian motion to power of fluctuations, is composed in total of eighteen papers presented at the conference, and in conjunction with one of European Physical Journal Special Topics, entitled From Brownian motion to self-avoiding walks and Lévy flights, are aimed at reflecting the evolution of Smoluchowski’s ideas from the field of statistics of interacting random and self-avoiding walks, stochastic equations for many-particle systems, physics of glass-forming and noise driven systems to the theory of fluctuations with the particular emphasis on soft matter and systems with long-range order. Among eighteen papers of this issue there are two — the above mentioned paper by Rovenchak and another one by Ilnytska et al. — that are dedicated to shed more light on the Lviv period of Marian Smoluchovski and, we believe, could be helpful to those interested in the history of science and physics in particular. The remaining sixteen papers can be divided into groups. The first one includes papers devoted to the particular mathematical issues of the theory of condensed mater, including the exactly solvable models. Namely, by using the structure of 29-dimensional extended real Clifford-Dirac algebra, in their paper Simulik et al. try to prove the property of Fermi-Bose duality of the Dirac equation with nonzero mass. It means that Dirac equation can describe not only the fermionic but also the bosonic states. On other hand, Morozov and Ropke present analytical results for the time-dependent information entropy in exactly solvable two-state (qubit) models, while Shvaika and Freericks examine the core-level X-ray photoemission spectroscopy, X-ray absorption near-edge spectroscopy and X-ray emission spectroscopy in the FalicovKimball model by using the exact solution from dynamical mean-field theory. Two other papers, one by Strečka and Ekiz and the second by Strečka et al., present and discuss the exact solutions for the spin-1/2 Ising-Heisenbergmodel on diamond-like decorated Bethe lattices and for the ferrimagnetic spin-1/2 chain composed of alternating Ising andHeisenberg spins in an arbitrarily orientedmagnetic field, respectively. |
| Starting Page | 40001 |
| Ending Page | 40001 |
| Page Count | 1 |
| File Format | PDF HTM / HTML |
| DOI | 10.5488/CMP.15.40001 |
| Alternate Webpage(s) | http://www.icmp.lviv.ua/journal/zbirnyk.72/40001/art40001.pdf |
| Alternate Webpage(s) | https://doi.org/10.5488/CMP.15.40001 |
| Volume Number | 15 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
