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| Joel L. Lebowitz | |
|---|---|
| Name | Joel L. Lebowitz |
| Birth date | 1930-05-10 |
| Birth place | Tiachiv, Czechoslovakia |
| Fields | Statistical mechanics, Mathematical physics, Nonequilibrium statistical mechanics, Condensed matter physics |
| Workplaces | Yeshiva University, New York University, Rutgers University, International Center for Mechanical Sciences, Solid State Division of BNL |
| Alma mater | Yeshiva University, Syracuse University |
| Doctoral advisor | Léon Van Hove |
| Known for | Gibbs measures, Ornstein–Zernike theory, Lebowitz inequalities |
| Awards | Boltzmann Medal, Guggenheim Fellowship, National Academy of Sciences |
Joel L. Lebowitz (born May 10, 1930) is an American mathematical physicist noted for foundational work in statistical mechanics, nonequilibrium statistical mechanics, and rigorous results connecting microscopic models to macroscopic phenomena. His research spans theoretical developments relevant to phase transitions, critical phenomena, and rigorous construction of Gibbs measures, and he has held academic appointments at major institutions while influencing generations through mentorship and editorial leadership.
Lebowitz was born in Tiachiv in the former Czechoslovakia and survived the Holocaust before emigrating to the United States. He pursued undergraduate studies at Yeshiva University and completed graduate work at Syracuse University under the supervision of Léon Van Hove, connecting him to networks that include scholars from Princeton University, Cornell University, and University of Chicago. During his formative years he interacted with émigré scientists and intellectuals associated with institutions such as Institute for Advanced Study, Columbia University, and New York University.
Lebowitz's early research produced rigorous results in equilibrium statistical mechanics and contributed to the mathematical understanding of Gibbs measure constructions and correlation inequalities, relating to work by Oscar Lanford, Rudolf Haag, and David Ruelle. He collaborated with researchers like Elliott Lieb, other leading theorists, Robert B. Griffiths, and Hugo Touchette on problems involving phase transitions and metastability, extending methods used by Lars Onsager and Ludwig Boltzmann. Lebowitz made significant advances in nonequilibrium theory, building on ideas from Lars Onsager, Ilya Prigogine, and Ryogo Kubo to address transport and approach to equilibrium, engaging with the literature exemplified by H. Eugene Stanley, Michael Fisher, and Kenneth Wilson. His work intersects with mathematical techniques developed by Mark Kac, Francois Dyson, and Barry Simon, and influenced analyses performed at centers including Los Alamos National Laboratory and Bell Labs.
Lebowitz is known for rigorous proofs and inequalities—often invoked alongside names like Griffiths and Dobrushin—that clarified conditions for phase coexistence and uniqueness of Gibbs states in lattice systems inspired by Ising model studies of Wilhelm Lenz and Ernst Ising. He advanced the rigorous treatment of long-range interactions, drawing on methods related to Ornstein–Zernike theory and techniques used by Ken Wilson in renormalization, thereby informing modern work on critical phenomena by researchers such as Murray Gell-Mann and Philip Anderson. As an editor and organizer, he helped shape programs at venues like International Congress of Mathematicians, Statistical Mechanics conferences, and institutes such as Mathematical Sciences Research Institute and Institut des Hautes Études Scientifiques, leaving a legacy in both rigorous mathematical results and the institutional development of mathematical physics.
Lebowitz's distinctions include election to the National Academy of Sciences and receipt of the Boltzmann Medal, recognition shared with figures like L. Van Hove and David Ruelle. He has been awarded fellowships such as the Guggenheim Fellowship and served in visiting roles at institutions including Institut Henri Poincaré, Center for Advanced Study, and Brookhaven National Laboratory. His honors place him among scholars recognized by bodies like the American Physical Society, American Mathematical Society, and international academies that have also counted members such as John von Neumann, Richard Feynman, and Paul Dirac.
Lebowitz's personal history connects to major twentieth-century events including the Holocaust and postwar academic migrations that also affected scientists at University of California, Berkeley, Harvard University, and Princeton University. He has been active in scientific communities in New York City and at universities such as Rutgers University and Yeshiva University, maintaining collaborations with colleagues from institutions like New York University and Syracuse University. His outreach and public engagement have paralleled efforts by contemporaries such as Edward Teller and Isidor Rabi to bridge research and public discourse.
Lebowitz authored and coauthored influential papers and review articles on Gibbs states, phase transitions, and nonequilibrium phenomena, publishing in journals tied to organizations like the American Physical Society, Institute of Physics, and Elsevier. Notable works include rigorous studies of correlation functions related to the Ising model and papers on time evolution and approach to equilibrium that are cited alongside classics by Lars Onsager and Ryogo Kubo. He has contributed chapters to volumes published by publishers associated with the American Mathematical Society and edited conference proceedings from meetings at institutes such as Mathematical Sciences Research Institute and Institute for Advanced Study.
Category:Mathematical physicists Category:Members of the United States National Academy of Sciences Category:Recipients of the Boltzmann Medal Category:1930 births Category:Living people