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Nicholas Constantine Metropolis (
Greek Greek may refer to: 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 of all kno ...
: ; 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 cau ...
. Metropolis received his BSc (1937) and PhD in physics (1941, with
Robert Mulliken The name Robert is an ancient Germanic given name, from Proto-Germanic "fame" and "bright" (''Hrōþiberhtaz''). Compare Old Dutch ''Robrecht'' and Old High German ''Hrodebert'' (a compound of '' Hruod'' () "fame, glory, honour, praise, ren ...
) at the
University of Chicago The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chic ...
. Shortly afterwards,
Robert Oppenheimer J. Robert Oppenheimer (born Julius Robert Oppenheimer ; April 22, 1904 – February 18, 1967) was an American theoretical physicist who served as the director of the Manhattan Project's Los Alamos Laboratory during World War II. He is often ...
recruited him from Chicago, where he was collaborating with
Enrico Fermi Enrico Fermi (; 29 September 1901 – 28 November 1954) was an Italian and naturalized American physicist, renowned for being the creator of the world's first artificial nuclear reactor, the Chicago Pile-1, and a member of the Manhattan Project ...
and
Edward Teller Edward Teller (; January 15, 1908 – September 9, 2003) was a Hungarian and American Theoretical physics, theoretical physicist and chemical engineer who is known colloquially as "the father of the hydrogen bomb" and one of the creators of ...
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 Laboratory, laboratories of the United States Department of Energy National Laboratories, United States Department of Energy ...
. 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 __NOTOC__ The MANIAC I (Mathematical Analyzer Numerical Integrator and Automatic Computer Model I) was an early computer built under the direction of Nicholas Metropolis at the Los Alamos National Laboratory, Los Alamos Scientific Laboratory. It ...
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 Califor ...
in 1957.


Early life and education

Nicolas Metropolis was born on June 11, 1915, in Chicago, US. Metropolis received his BSc (1936) and PhD in chemical physics (1941) at the
University of Chicago The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chic ...
. During his PhD he worked with
Robert Mulliken The name Robert is an ancient Germanic given name, from Proto-Germanic "fame" and "bright" (''Hrōþiberhtaz''). Compare Old Dutch ''Robrecht'' and Old High German ''Hrodebert'' (a compound of '' Hruod'' () "fame, glory, honour, praise, ren ...
. After graduation, he worked as an instructor at the University of Chicago with
James Franck James Franck (; 26 August 1882 – 21 May 1964) was a German-American physicist who received the 1925 Nobel Prize in Physics with Gustav Hertz "for their discovery of the laws governing the impact of an electron upon an atom". He completed hi ...
. Shortly afterwards, in 1943,
Robert Oppenheimer J. Robert Oppenheimer (born Julius Robert Oppenheimer ; April 22, 1904 – February 18, 1967) was an American theoretical physicist who served as the director of the Manhattan Project's Los Alamos Laboratory during World War II. He is often ...
recruited him from Chicago for the
Manhattan Project The Manhattan Project was a research and development program undertaken during World War II to produce the first nuclear weapons. It was led by the United States in collaboration with the United Kingdom and Canada. From 1942 to 1946, the ...
, where he worked in Harold C. Urey's group. Later he joined University of Chicago Metallurgical Laboratory and worked under
Edward Teller Edward Teller (; January 15, 1908 – September 9, 2003) was a Hungarian and American Theoretical physics, theoretical physicist and chemical engineer who is known colloquially as "the father of the hydrogen bomb" and one of the creators of ...
's supervision, who encouraged him to move into theoretical physics. At Los Alamos Metropolis worked together with
Richard Feynman Richard Phillips Feynman (; May 11, 1918 – February 15, 1988) was an American theoretical physicist. He is best known for his work in the path integral formulation of quantum mechanics, the theory of quantum electrodynamics, the physics of t ...
on "electromechanical devices used for hand computations".


After World War II

After
World War II World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
, 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 __NOTOC__ The MANIAC I (Mathematical Analyzer Numerical Integrator and Automatic Computer Model I) was an early computer built under the direction of Nicholas Metropolis at the Los Alamos National Laboratory, Los Alamos Scientific Laboratory. It ...
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, a ...
, 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 Califor ...
in 1957. (
John von Neumann John von Neumann ( ; ; December 28, 1903 – February 8, 1957) was a Hungarian and American mathematician, physicist, computer scientist and engineer. Von Neumann had perhaps the widest coverage of any mathematician of his time, in ...
thought this acronym too frivolous; Metropolis claims to have chosen the name "MANIAC" in the hope of stopping the rash of such acronyms for machine names, but may have instead further stimulated such use.) From 1957 to 1965 he was a full professor of physics at the University of Chicago and was the founding director of its
Institute for Computer Research An institute is an organizational 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. File:Metropolis-nicholas.jpg, left, Metropolis's wartime
Los Alamos National Laboratory Los Alamos National Laboratory (often shortened as Los Alamos and LANL) is one of the sixteen research and development Laboratory, laboratories of the United States Department of Energy National Laboratories, United States Department of Energy ...
badge photo. File:MANIAC Metropolis and Richardson.jpg, MANIAC project leader Nicholas Metropolis (standing) and the MANIAC’s chief engineer Jim Richardson in 1953. File:Paul Stein and Nicholas Metropolis play “Los Alamos” chess against the MANIAC.jpg, Paul Stein and Nicholas Metropolis play
Los Alamos chess Los Alamos chess (or anti-clerical chess) is a chess variant played on a 6×6 board without bishops. This was the first chess-like game played by a computer program. This program was written at Los Alamos Scientific Laboratory by Paul Stein and ...
against the MANIAC, a simplified version of the game without bishops. The computer still needed about 20 minutes between moves.


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 ( ; ; December 28, 1903 – February 8, 1957) was a Hungarian and American mathematician, physicist, computer scientist and engineer. Von Neumann had perhaps the widest coverage of any mathematician of his time, in ...
and
Stanislaw Ulam Stanislav and variants may refer to: People *Stanislav (given name), a Slavic given name with many spelling variations (Stanislaus, Stanislas, Stanisław, etc.) Places * Stanislav, Kherson Oblast, a coastal village in Ukraine * Stanislaus County, ...
, 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 ...
. 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 ENIAC (; Electronic Numerical Integrator and Computer) was the first Computer programming, programmable, Electronics, electronic, general-purpose digital computer, completed in 1945. Other computers had some of these features, but ENIAC was ...
computer to perform simulations of a nuclear core in 1948. In 1953 Metropolis was credited as a co-author of a paper entitled '' Equation of State Calculations by Fast Computing Machines''. This landmark paper showed the first numerical simulations of a
liquid Liquid is a state of matter with a definite volume but no fixed shape. Liquids adapt to the shape of their container and are nearly incompressible, maintaining their volume even under pressure. The density of a liquid is usually close to th ...
and introduced a new Monte Carlo computational method for doing so. In applications of the Monte Carlo method to problems in statistical mechanics prior to the introduction of the Metropolis algorithm, a large number of random configurations of the system would be generated, the properties of interest (such as energy or density) would be computed for each configuration, and then 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 ...
computed where the weight of each configuration was its
Boltzmann factor Factor (Latin, ) may refer to: Commerce * Factor (agent), a person who acts for, notably a mercantile and colonial agent * Factor (Scotland), a person or firm managing a Scottish estate * Factors of production, such a factor is a resource used ...
, e^, where E is the
energy Energy () is the physical quantity, quantitative physical property, property that is transferred to a physical body, body or to a physical system, recognizable in the performance of Work (thermodynamics), work and in the form of heat and l ...
, T is the
temperature Temperature is a physical quantity that quantitatively expresses the attribute of hotness or coldness. Temperature is measurement, measured with a thermometer. It reflects the average kinetic energy of the vibrating and colliding atoms making ...
, and k is the
Boltzmann constant The Boltzmann constant ( or ) is the proportionality factor that relates the average relative thermal energy of particles in a ideal gas, gas with the thermodynamic temperature of the gas. It occurs in the definitions of the kelvin (K) and the ...
. The key contribution of the paper was the idea that 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 tha ...
was later generalized by W.K. Hastings and has become widely known as 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. New sample ...
. In recent years a controversy has arisen as to whether Metropolis actually made significant contributions to the ''Equation of State Calculations ''paper.


Associations and honors

Metropolis was a member of the
American Academy of Arts and Sciences The American Academy of Arts and Sciences (The Academy) 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, and other ...
, 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 soci ...
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 The University of California (UC) is a public university, public Land-grant university, land-grant research university, research university system in the U.S. state of California. Headquartered in Oakland, California, Oakland, the system is co ...
. Metropolis was also awarded the Pioneer Medal by the
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers (IEEE) is an American 501(c)(3) public charity professional organization for electrical engineering, electronics engineering, and other related disciplines. The IEEE has a corporate office ...
, 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 ...
. 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 ...
.


Acting career

Metropolis played the part of a scientist in the
Woody Allen Heywood Allen (born Allan Stewart Konigsberg; November 30, 1935) is an American filmmaker, actor, and comedian whose career spans more than six decades. Allen has received many List of awards and nominations received by Woody Allen, accolade ...
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 sho ...
'' (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 (, meaning ''The Poplars'') is a census-designated place in Los Alamos County, New Mexico, United States, that is recognized as one of the development and creation places of the Nuclear weapon, atomic bomb—the primary objective of ...
.


Anecdotes

In his memoirs,
Stanislaw Ulam Stanislav and variants may refer to: People *Stanislav (given name), a Slavic given name with many spelling variations (Stanislaus, Stanislas, Stanisław, etc.) Places * Stanislav, Kherson Oblast, a coastal village in Ukraine * Stanislaus County, ...
remembers that a small group, including himself, Metropolis, Calkin, Konopinski,
Kistiakowsky Kistiakowsky is a surname. Notable people with the surname include: * Alexander Kistiakowsky (1904–1983), Ukrainian ornithologist * George Kistiakowsky (1900–1982), Ukrainian-American physical chemist * Vera Kistiakowsky (1928–2021), Amer ...
, 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. He is best known for his work in the path integral formulation of quantum mechanics, the theory of quantum electrodynamics, the physics of t ...
to have an Erdős number of 3.


See also

*
Stochastics Stochastic (; ) is the property of being well-described by a random probability distribution. ''Stochasticity'' and ''randomness'' are technically distinct concepts: the former refers to a modeling approach, while the latter describes phenomena; in ...
*
ENIAC ENIAC (; Electronic Numerical Integrator and Computer) was the first Computer programming, programmable, Electronics, electronic, general-purpose digital computer, completed in 1945. Other computers had some of these features, but ENIAC was ...
The History of Numerical Analysis and Scientific Computing
/ref> *
Colossus computer Colossus was a set of computers developed by British cryptanalysis, codebreakers in the years 1943–1945 to help in the cryptanalysis of the Lorenz cipher. Colossus used vacuum tube, thermionic valves (vacuum tubes) to perform Boolean algebra ...
* 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 Foundation, ...
, 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 Laboratory, laboratories of the United States Department of Energy National Laboratories, United States Department of Energy ...
, discusses
John von Neumann John von Neumann ( ; ; December 28, 1903 – February 8, 1957) was a Hungarian and American mathematician, physicist, computer scientist and engineer. Von Neumann had perhaps the widest coverage of any mathematician of his time, in ...
'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 Edward Teller (; January 15, 1908 – September 9, 2003) was a Hungarian and American Theoretical physics, theoretical physicist and chemical engineer who is known colloquially as "the father of the hydrogen bomb" and one of the creators of ...
; 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 and naturalized American physicist, renowned for being the creator of the world's first artificial nuclear reactor, the Chicago Pile-1, and a member of the Manhattan Project ...
; 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. He was highly influential in the development of theoretical computer ...
and von Neumann; work on numerical methods for non-linear problems; and the
ENIAC ENIAC (; Electronic Numerical Integrator and Computer) was the first Computer programming, programmable, Electronics, electronic, general-purpose digital computer, completed in 1945. Other computers had some of these features, but ENIAC was ...
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 Mathematicians from Chicago Scientists from Chicago