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Lecture notes on elements of nonequilibrium statistical mechanics: (1) a characterization of the nonequilibrium condition, largely by contrast to equilibrium; (2) a retelling of some of the great performances of the more distant past,…

Statistical Mechanics · Physics 2026-02-18 Christian Maes

The article is a report on the biography and achievements of Ernest Borisovich Vinberg, an outstanding Russian mathematician, who passed away in Moscow on May 12, 2020. We discuss his contributions to various areas of mathematics such as…

Robert F. Coleman, a highly original mathematician who has had a profound influence on modern number theory and arithmetic geometry, passed away on March 24, 2014. We give an overview of his life and career, including some of his major…

Number Theory · Mathematics 2015-01-20 Matthew Baker , Barry Mazur , Ken Ribet

The Mori-Zwanzig projection operator formalism is one of the central tools of nonequilibrium statistical mechanics, allowing to derive macroscopic equations of motion from the microscopic dynamics through a systematic coarse-graining…

Statistical Mechanics · Physics 2020-06-18 Michael te Vrugt , Raphael Wittkowski

Nonequilibrium statistical physics is concerned with a fundamental problem in physics, the phenomenon of irreversibility, which is not rigorously solved yet. Different approaches to the statistical mechanics of nonequilibrium processes are…

Statistical Mechanics · Physics 2019-05-07 G. Röpke

We review the life and remarkable contributions to Physics of Gregor Wentzel.

History and Philosophy of Physics · Physics 2008-09-15 Peter G. O. Freund , Charles J. Goebel , Yoichiro Nambu , Reinhard Oehme

Detlef D\"urr (1951-2021) was a theoretical and mathematical physicist who worked particularly on the foundations of quantum mechanics, electromagnetism, and statistical mechanics. This piece is a rather personal look back at him and his…

History and Philosophy of Physics · Physics 2024-05-08 Roderich Tumulka

The lifetime of statistical system is introduced. It is supposed that the nonequilibrium statistical operator implicitly contains the lifetime. The operations of taking of invariant part, averaging on initial conditions used in works of…

Statistical Mechanics · Physics 2011-11-17 V. V. Ryazanov

An overview is given of recent advances in nonequilibrium statistical mechanics about the statistics of random paths and current fluctuations. Although statistics is carried out in space for equilibrium statistical mechanics, statistics is…

Statistical Mechanics · Physics 2016-04-12 Pierre Gaspard

This paper gives a short review of the history of statistical physics starting from D. Bernoulli's kinetic theory of gases in the 18th century until the recent new developments in nonequilibrium kinetic theory in the last decades of this…

History and Philosophy of Physics · Physics 2007-05-23 D. Flamm

Explaining the emergence of stochastic irreversible macroscopic dynamics from time-reversible deterministic microscopic dynamics is one of the key problems in philosophy of physics. The Mori-Zwanzig projection operator formalism, which is…

Statistical Mechanics · Physics 2022-07-04 Michael te Vrugt

Steven Weinberg, renowned particle theorist and Nobel laureate, passed away in July 2021. We discuss selections of his work on effective field theory, electroweak unification, and symmetry related topics. We then add a few memories of…

History and Philosophy of Physics · Physics 2022-01-19 Paul H Frampton

We describe the development of the mathematics of Helmut R. Salzmann (3. 11. 1930 -- 8. 3. 2022) and the main difficulties he was facing, documenting his lifelong productivity and his far reaching influence. We include a comprehensive…

History and Overview · Mathematics 2023-10-16 Rainer Löwen

Biography and publications list for Donald Arthur Preece, who died on 6 January 2014, who made many contributions in statistics (experimental design) and in combinatorics.

History and Overview · Mathematics 2014-02-11 R. A. Bailey

The first part of the paper is devoted to the foundations, that is the mathematical and physical justification, of equilibrium statistical mechanics. It is a pedagogical attempt, mostly based on Khinchin's presentation, which purpose is to…

Statistical Mechanics · Physics 2007-05-23 Dragi Karevski

We are describing relations between Schr\"odinger's variational problem and Onsager's approach to nonequilibrium statistical mechanics. Although the second work on reciprocal relations and detailed balance has been published in the same…

Statistical Mechanics · Physics 2023-03-03 Qiao Huang , Jean-Claude Zambrini

Some fundamental aspects related with the construction of Robertson-Schr\"odinger like uncertainty principle inequalities are reported in order to provide an overall description of quantumness, separability and nonlocality of quantum…

Quantum Physics · Physics 2018-03-14 Orfeu Bertolami , Alex E. Bernardini , Pedro Leal

Errico Presutti was a leading figure in mathematical physics and an important contributor to rigorous results in statistical mechanics. Due to his strong scientific personality and human qualities, there are many who remember Errico…

Statistical Mechanics · Physics 2025-03-31 Lorenzo Bertini , Joel L. Lebowitz , Mario Pulvirenti

This paper, which is dedicated to Alan Turing on the 50th anniversary of his death, gives an overview and discusses the philosophical implications of incompleteness, uncomputability and randomness.

History and Overview · Mathematics 2007-05-23 G. J. Chaitin

This review article is the second part of the project ``Selected Topics of Social Physics". The first part has been devoted to equilibrium systems. The present part considers nonequilibrium systems. The style of the paper combines the…

Populations and Evolution · Quantitative Biology 2023-07-22 V. I. Yukalov
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