This memoir is dedicated to the late Francis Hayin Ree, a formative influence shaping my work in statistical mechanics. Between 1963 and 1968 we collaborated on nine papers published in the Journal of Chemical Physics. Those dealt with the virial series, cell models, and computer simulation. All of them were directed toward understanding the statistical thermodynamics of simple model systems. Our last joint work is also the most cited, with over 1000 citations, “Melting Transition and Communal Entropy for Hard Spheres”, submitted 3 May 1968 and published that October. Here I summarize my own most recent work on compressible time-reversible two-dimensional maps. These simplest of model systems are amenable to computer simulation and are providing stimulating and surprising results.
Marian Smoluchowski (1872-1917) was an eminent physicist of international renown. His research in the field of the Kinetic Theory of Matter (e.g. the Brownian motion) contributed to strengthen the nuclear science. He is considered a pioneer of the statistical physics. Childhood and the years of study he spent in Vienna. From an early age, he was associated with mountains and was a prominent mountaineer. Along with his brother, Tadeusz, he climbed many unclimbed peaks in the Eastern Alps: Dolomites, Ortler group and Hohe Tauern. Those achievements passed into the history of Alpine mountaineering. In addition to sports and aesthetic aspects (he painted mountain landscapes), Smoluchowski found his scientific inspirations in the mountains. He was interested in the mechanics of tectonic movements and joined the discussion on the concepts concerning the nappe structure of orogens at the beginning of the 20th century (1909). Research on the physicalfoundations of tectonic movements in the Tatra Mountains, that he planned to undertake, was thwarted by the outbreak of World War I in 1914, and his premature death in 1917.
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