Sergei Vladimirovich Tyablikov (russian: Серге́й Влади́мирович Тя́бликов; September 7, 1921 – March 17, 1968) was a Soviet
theoretical physicist
Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena. This is in contrast to experimental physics, which uses experimen ...
known for his significant contributions to
statistical mechanics
In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities. It does not assume or postulate any natural laws, but explains the macroscopic be ...
,
solid-state physics
Solid-state physics is the study of rigid matter, or solids, through methods such as quantum mechanics, crystallography, electromagnetism, and metallurgy. It is the largest branch of condensed matter physics. Solid-state physics studies how the l ...
, and for the development of the double-time Green function's formalism.
Biography
Tyablikov was born in
Klin
KLIN (1400 AM broadcasting, AM) is a radio station broadcasting a news talk information format. Licensed to Lincoln, Nebraska, United States, the station serves the Lincoln area. The station is currently owned by NRG Media and features programmin ...
, Russia. In 1944 he graduated from the
Faculty of Physics
Faculty may refer to:
* Faculty (academic staff), the academic staff of a university (North American usage)
* Faculty (division), a division within a university (usage outside of the United States)
* Faculty (instrument), an instrument or warra ...
at the
Moscow State University
M. V. Lomonosov Moscow State University (MSU; russian: Московский государственный университет имени М. В. Ломоносова) is a public research university in Moscow, Russia and the most prestigious ...
(MSU) and started his postgraduate study with
Anatoly Vlasov
Anatoly Aleksandrovich Vlasov (russian: Анато́лий Алекса́ндрович Вла́сов; – 22 December 1975) was a Russian, later Soviet, theoretical physicist prominent in the fields of statistical mechanics, kinetics, and espe ...
and later with
Nikolay Bogoliubov
Nikolay Nikolayevich Bogolyubov (russian: Никола́й Никола́евич Боголю́бов; 21 August 1909 – 13 February 1992), also transliterated as Bogoliubov and Bogolubov, was a Soviet and Russian mathematician and theoretic ...
at the Department of Theoretical Physics. In 1947 he obtained PhD degree (''
Candidate of Sciences
Candidate of Sciences (russian: кандидат наук, translit=kandidat nauk) is the first of two doctoral level scientific degrees in Russia and the Commonwealth of Independent States. It is formally classified as UNESCO's ISCED level 8, "do ...
'') with PhD Thesis on the subject of crystallization theory and was appointed to the
Steklov Institute of Mathematics
Steklov Institute of Mathematics or Steklov Mathematical Institute (russian: Математический институт имени В.А.Стеклова) is a premier research institute based in Moscow, specialized in mathematics, and a part ...
, where he continued to work for the rest of his life.
In 1954 he defended at the MSU his doctoral dissertation "Studies of the Polaron Theory" and obtained the degree of
Doktor nauk
Doctor of Sciences ( rus, доктор наук, p=ˈdoktər nɐˈuk, abbreviated д-р наук or д. н.; uk, доктор наук; bg, доктор на науките; be, доктар навук) is a higher doctoral degree in the Russi ...
(''Doctor of Science'', similar to
Habilitation
Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a ...
). Since 1962 he was the Head of the Division of Statistical Mechanics in the Steklov Institute of Mathematics.
In the period 1966-1968, Sergei Tyablikov also worked at the
Joint Institute for Nuclear Research
The Joint Institute for Nuclear Research (JINR, russian: Объединённый институт ядерных исследований, ОИЯИ), in Dubna, Moscow Oblast (110 km north of Moscow), Russia, is an international research cen ...
, where he was the first Head of the Statistical Mechanics and Theory of Condensed Matter Group at the Laboratory of Theoretical Physics.
Research work
During postgraduate study in 1944—1947 he worked on theory of crystallization, where he applied such methods as diagonalization of bilinear forms in
Bose
Bose may refer to:
* Bose (crater), a lunar crater
* ''Bose'' (film), a 2004 Indian Tamil film starring Srikanth and Sneha
* Bose (surname), a surname (and list of people with the name)
* Bose, Italy, a ''frazioni'' in Magnano, Province of Biella ...
or
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 ...
operators, etc., which later became a common tool for theoretical physicists.
After finishing PhD he started to work on the problem of a particle interacting with a quantum field. This problem is directly related to polaron theory, the effect of impurities on the energy spectrum of superfluids, and other problems in condensed matter physics. He was involved in the development of operator form of
perturbation theory
In mathematics and applied mathematics, perturbation theory comprises methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler problem. A critical feature of the technique is a middle ...
, approximate
second quantization
Second quantization, also referred to as occupation number representation, is a formalism used to describe and analyze quantum many-body systems. In quantum field theory, it is known as canonical quantization, in which the fields (typically as t ...
,
adiabatic approximation
In thermodynamics, an adiabatic process (Greek: ''adiábatos'', "impassable") is a type of thermodynamic process that occurs without transferring heat or mass between the thermodynamic system and its environment. Unlike an isothermal process, ...
for systems with translational invariance, and other theoretical physics methods which play an important role in the theory of many-particle systems.
Since 1948 in collaboration with Nikolay Bogoliubov he started to work on quantum theory of
ferromagnetism
Ferromagnetism is a property of certain materials (such as iron) which results in a large observed magnetic permeability, and in many cases a large magnetic coercivity allowing the material to form a permanent magnet. Ferromagnetic materials ...
and
antiferromagnetism
In materials that exhibit antiferromagnetism, the magnetic moments of atoms or molecules, usually related to the spins of electrons, align in a regular pattern with neighboring spins (on different sublattices) pointing in opposite directions. ...
. In 1948 they developed a consistent theoretical polar model of metals. Later Tyablikov developed the first consistent quantum theory of
magnetic anisotropy
In condensed matter physics, magnetic anisotropy describes how an object's magnetic properties can be different depending on direction. In the simplest case, there is no preferential direction for an object's magnetic moment. It will respond to ...
.
His particularly important contribution to antiferromagnetism was in the development of the method of quantum temperature Green's functions. In 1959, Sergei Tyablikov and
Nikolay Bogoliubov
Nikolay Nikolayevich Bogolyubov (russian: Никола́й Никола́евич Боголю́бов; 21 August 1909 – 13 February 1992), also transliterated as Bogoliubov and Bogolubov, was a Soviet and Russian mathematician and theoretic ...
published the paper
[ Bogolyubov N. N., Tyablikov S. V. Retarded and Advanced Green Functions in Statistical Physics, Soviet Physics Doklady, Vol. 4, p. 589 (1959).] which strongly influenced the development of the many-body physics and specifically the quantum theory of magnetism. He also co-authored with V.L. Bonch-Bruevich the book ''The Green Function Method in Statistical Mechanics'', the first book with a consistent exposition of the method of Green's functions.
Publications
Books
# Bonch-Bruevich V. L., Tyablikov S. V. (1962): ''The Green Function Method in Statistical Mechanics.'' North Holland Publishing Co.
# Tyablikov S. V. (1995): ''Methods in the Quantum Theory of Magnetism.'' (Translated to English) Springer; 1st edition. . .
Selected papers
References
Sergei Vladimirovich Tyablikov''Soviet Physics Uspekhi'' 11(4), 606—607 (January–February 1969).
at th
Joint Institute for Nuclear Research
{{DEFAULTSORT:Tyablikov, Sergei
1921 births
1968 deaths
People from Klin
Quantum physicists
Soviet physicists
Moscow State University alumni
Theoretical physicists