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Nicholas Constantine Metropolis (
Greek Greek may refer to: Greece Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group. *Greek language, a branch of the Indo-European language family. **Proto-Greek language, the assumed last common ancestor ...
: ; June 11, 1915 – October 17, 1999) was a Greek-American
physicist A physicist is a scientist who specializes in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe. Physicists generally are interested in the root or ultimate caus ...
. Metropolis received his BSc (1937) and PhD in physics (1941, with Robert Mulliken) at the
University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park neighborhood. The University of Chicago is consistently ranked among the ...
. Shortly afterwards,
Robert Oppenheimer J. Robert Oppenheimer (; April 22, 1904 – February 18, 1967) was an American theoretical physicist. A professor of physics at the University of California, Berkeley, Oppenheimer was the wartime head of the Los Alamos Laboratory and is often ...
recruited him from Chicago, where he was collaborating with
Enrico Fermi Enrico Fermi (; 29 September 1901 – 28 November 1954) was an Italian (later naturalized American) physicist and the creator of the world's first nuclear reactor, the Chicago Pile-1. He has been called the "architect of the nuclear age" and ...
and Edward Teller on the first nuclear reactors, to the
Los Alamos National Laboratory Los Alamos National Laboratory (often shortened as Los Alamos and LANL) is one of the sixteen research and development laboratories of the United States Department of Energy (DOE), located a short distance northwest of Santa Fe, New Mexico, ...
. He arrived in Los Alamos in April 1943, as a member of the original staff of fifty scientists. He came back to Los Alamos in 1948 to lead the group in the Theoretical Division that designed and built the MANIAC I computer in 1952 that was modeled on the IAS machine, and the
MANIAC II The MANIAC II (''Mathematical Analyzer Numerical Integrator and Automatic Computer Model II'') was a first-generation electronic computer, built in 1957 for use at Los Alamos Scientific Laboratory. MANIAC II was built by the University of Californ ...
in 1957.


After World War II

After World War II, he returned to the faculty of the University of Chicago as an assistant professor. He came back to Los Alamos in 1948 to lead the group in the Theoretical Division that designed and built the MANIAC I computer in 1952 that was modeled on the
IAS machine The IAS machine was the first electronic computer built at the Institute for Advanced Study (IAS) in Princeton, New Jersey. It is sometimes called the von Neumann machine, since the paper describing its design was edited by John von Neumann, ...
, and the
MANIAC II The MANIAC II (''Mathematical Analyzer Numerical Integrator and Automatic Computer Model II'') was a first-generation electronic computer, built in 1957 for use at Los Alamos Scientific Laboratory. MANIAC II was built by the University of Californ ...
in 1957. (He chose the name MANIAC in the hope of stopping the rash of such acronyms for machine names, but may have, instead, only further stimulated such use.) (
John von Neumann John von Neumann (; hu, Neumann János Lajos, ; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, engineer and polymath. He was regarded as having perhaps the widest cove ...
thought this acronym was too frivolous.) From 1957 to 1965 he was Professor of Physics at the University of Chicago and was the founding Director of its
Institute for Computer Research An institute is an organisational body created for a certain purpose. They are often research organisations ( research institutes) created to do research on specific topics, or can also be a professional body. In some countries, institutes ca ...
. In 1965 he returned to Los Alamos where he was made a Laboratory Senior Fellow in 1980.


Monte Carlo method

At Los Alamos in the late 1940s and early 1950s a group of researchers led by Metropolis, including
John von Neumann John von Neumann (; hu, Neumann János Lajos, ; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, engineer and polymath. He was regarded as having perhaps the widest cove ...
and Stanislaw Ulam, developed the
Monte Carlo method Monte Carlo methods, or Monte Carlo experiments, are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical results. The underlying concept is to use randomness to solve problems that might be determi ...
. This is a class of computational approaches that rely on repeated random sampling to compute their results, named in reference to Ulam's relative's love for the casinos of Monte Carlo. Metropolis was deeply involved in the very first use of the Monte Carlo method, rewiring the ENIAC computer to perform simulations of a nuclear core in 1948. In 1953 Metropolis co-authored the first paper on a technique that was central to the method now known as simulated annealing. This landmark paper showed the first numerical simulations of a
liquid A liquid is a nearly incompressible fluid that conforms to the shape of its container but retains a (nearly) constant volume independent of pressure. As such, it is one of the four fundamental states of matter (the others being solid, gas, ...
. The algorithm for generating samples from the
Boltzmann distribution In statistical mechanics and mathematics, a Boltzmann distribution (also called Gibbs distribution Translated by J.B. Sykes and M.J. Kearsley. See section 28) is a probability distribution or probability measure that gives the probability t ...
was later generalized by W.K. Hastings to become the
Metropolis–Hastings algorithm In statistics and statistical physics, the Metropolis–Hastings algorithm is a Markov chain Monte Carlo (MCMC) method for obtaining a sequence of random samples from a probability distribution from which direct sampling is difficult. This seque ...
. In statistical mechanics applications prior to the introduction of the Metropolis algorithm, the method consisted of generating a large number of random configurations of the system, computing the properties of interest (such as energy or density) for each configuration, and then producing a
weighted average The weighted arithmetic mean is similar to an ordinary arithmetic mean (the most common type of average), except that instead of each of the data points contributing equally to the final average, some data points contribute more than others. The ...
where the weight of each configuration is its Boltzmann factor, e^, where E is the
energy In physics, energy (from Ancient Greek: ἐνέργεια, ''enérgeia'', “activity”) is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of h ...
, T is the
temperature Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness. Temperature is measured with a thermometer. Thermometers are calibrated in various temperature scales that historically have relied o ...
, and k is the Boltzmann constant. The key contribution of the Metropolis paper was the idea that


Associations and honors

Metropolis was a member of the
American Academy of Arts and Sciences The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, ...
, the
Society for Industrial and Applied Mathematics Society for Industrial and Applied Mathematics (SIAM) is a professional society dedicated to applied mathematics, computational science, and data science through research, publications, and community. SIAM is the world's largest scientific socie ...
and the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
. In 1987 he became the first Los Alamos employee honored with the title "emeritus" by the University of California. Metropolis was also awarded the Pioneer Medal by the
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers (IEEE) is a 501(c)(3) professional association for electronic engineering and electrical engineering (and associated disciplines) with its corporate office in New York City and its operatio ...
, and was a fellow of the
American Physical Society The American Physical Society (APS) is a not-for-profit membership organization of professionals in physics and related disciplines, comprising nearly fifty divisions, sections, and other units. Its mission is the advancement and diffusion of k ...
. The Nicholas Metropolis Award for Outstanding Doctoral Thesis Work in Computational Physics is awarded annually by the
American Physical Society The American Physical Society (APS) is a not-for-profit membership organization of professionals in physics and related disciplines, comprising nearly fifty divisions, sections, and other units. Its mission is the advancement and diffusion of k ...
.


Acting career

Metropolis played the part of a scientist in the
Woody Allen Heywood "Woody" Allen (born Allan Stewart Konigsberg; November 30, 1935) is an American film director, writer, actor, and comedian whose career spans more than six decades and multiple Academy Award-winning films. He began his career writing ...
film ''
Husbands and Wives ''Husbands and Wives'' is a 1992 American comedy-drama film written and directed by Woody Allen. The film stars Allen, Mia Farrow, Sydney Pollack, Judy Davis, Lysette Anthony, Juliette Lewis, Liam Neeson and Blythe Danner. The film debuted short ...
'' (1992).


Personal life

Metropolis had a son, Christopher, and two daughters, Penelope and Katharine. He was an avid skier and tennis player until his mid-seventies. He died at a nursing home in
Los Alamos, New Mexico Los Alamos is an census-designated place in Los Alamos County, New Mexico, United States, that is recognized as the development and creation place of the atomic bomb—the primary objective of the Manhattan Project by Los Alamos National Labor ...
.


Anecdotes

In his memoirs, Stanislaw Ulam remembers that a small group, including himself, Metropolis, Calkin, Konopinski, Kistiakowsky, Teller and von Neumann, spent several evenings at Los Alamos playing poker. They played for very small sums, but: "Metropolis once described what a triumph it was to win ten dollars from John von Neumann, author of a famous treatise on game theory. He then bought his book for five dollars and pasted the other five inside the cover as a symbol of his victory." In another passage of his book, Ulam describes Metropolis as "a Greek-American with a wonderful personality."


Erdős number

Metropolis has an
Erdős number The Erdős number () describes the "collaborative distance" between mathematician Paul Erdős and another person, as measured by authorship of mathematical papers. The same principle has been applied in other fields where a particular individual ...
of 2 and he enabled
Richard Feynman Richard Phillips Feynman (; May 11, 1918 – February 15, 1988) was an American theoretical physicist, known for his work in the path integral formulation of quantum mechanics, the theory of quantum electrodynamics, the physics of the superfl ...
to have an Erdős number of 3.


See also

*
Stochastics Stochastic (, ) refers to the property of being well described by a random probability distribution. Although stochasticity and randomness are distinct in that the former refers to a modeling approach and the latter refers to phenomena themselve ...
* ENIACThe History of Numerical Analysis and Scientific Computing
/ref> *
Colossus computer Colossus was a set of computers developed by British codebreakers in the years 1943–1945 to help in the cryptanalysis of the Lorenz cipher. Colossus used thermionic valves (vacuum tubes) to perform Boolean and counting operations. Colossu ...
* Von Neumann paradox


References


External links


1993 Audio Interview with Nicholas Metropolis by Richard Rhodes
Voices of the Manhattan Project
Oral history interview with Nicholas C. Metropolis
Conducted by William Aspray at
Charles Babbage Institute The IT History Society (ITHS) is an organization that supports the history and scholarship of information technology by encouraging, fostering, and facilitating archival and historical research. Formerly known as the Charles Babbage Foundati ...
, University of Minnesota. Metropolis, the first director of computing services at
Los Alamos National Laboratory Los Alamos National Laboratory (often shortened as Los Alamos and LANL) is one of the sixteen research and development laboratories of the United States Department of Energy (DOE), located a short distance northwest of Santa Fe, New Mexico, ...
, discusses
John von Neumann John von Neumann (; hu, Neumann János Lajos, ; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, engineer and polymath. He was regarded as having perhaps the widest cove ...
's work in computing. Most of the interview concerns activity at Los Alamos: how von Neumann came to consult at the laboratory; his scientific contacts there, including Metropolis, Robert Richtmyer, and Edward Teller; von Neumann's first hands-on experience with punched card equipment; his contributions to shock-fitting and the implosion problem; interactions between and comparisons of von Neumann and
Enrico Fermi Enrico Fermi (; 29 September 1901 – 28 November 1954) was an Italian (later naturalized American) physicist and the creator of the world's first nuclear reactor, the Chicago Pile-1. He has been called the "architect of the nuclear age" and ...
; and the development of Monte Carlo techniques. Other topics include: the relationship between
Alan Turing Alan Mathison Turing (; 23 June 1912 – 7 June 1954) was an English mathematician, computer scientist, logician, cryptanalyst, philosopher, and theoretical biologist. Turing was highly influential in the development of theoretical co ...
and von Neumann; work on numerical methods for non-linear problems; and the ENIAC calculations done for Los Alamos. * Francis Harlow and Nicolas Metropolis
Computing and Computers -- Weapons Simulation Leads to the Computer Era
''Los Alamos Science'' No. 7, Page 132. * Herbert Anderson
Metropolis, Monte Carlo and the MANIAC
''Los Alamos Science'' No. 14, Page 69. {{DEFAULTSORT:Metropolis, Nicholas C 1915 births 1999 deaths 20th-century American mathematicians American computer scientists 20th-century American physicists Greek academics Greek computer scientists 20th-century Greek mathematicians 20th-century Greek physicists Los Alamos National Laboratory personnel Manhattan Project people Monte Carlo methodologists University of Chicago alumni University of Chicago faculty Santa Fe Institute people American people of Greek descent Fellows of the American Physical Society People from Chicago