Nikolay Sergeyevich Krylov
Encyclopedia
Nikolay Sergeevich Krylov (10 August 1917 – 21 June 1947) was a Russia
n theoretical physicist known for his work on the foundations of statistical physics
. He showed that a sufficient condition for a dynamical system
to relax to equilibrium is for it to be mixing
.
Krylov was born in Ustyuzhna
(now in Vologda Oblast
of Russia
). He graduated from Leningrad University
with a degree in physics. He then studied with Fock
and wrote a thesis on the foundations of statistical mechanics titled Mixing processes in phase space.
Krylov died after a prolonged illness.
Russia
Russia or , officially known as both Russia and the Russian Federation , is a country in northern Eurasia. It is a federal semi-presidential republic, comprising 83 federal subjects...
n theoretical physicist known for his work on the foundations of statistical physics
Statistical physics
Statistical physics is the branch of physics that uses methods of probability theory and statistics, and particularly the mathematical tools for dealing with large populations and approximations, in solving physical problems. It can describe a wide variety of fields with an inherently stochastic...
. He showed that a sufficient condition for a dynamical system
Dynamical system
A dynamical system is a concept in mathematics where a fixed rule describes the time dependence of a point in a geometrical space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each springtime in a...
to relax to equilibrium is for it to be mixing
Mixing (physics)
In physics, a dynamical system is said to be mixing if the phase space of the system becomes strongly intertwined, according to at least one of several mathematical definitions. For example, a measure-preserving transformation T is said to be strong mixing ifwhenever A and B are any measurable...
.
Krylov was born in Ustyuzhna
Ustyuzhna
Ustyuzhna is a town and the administrative center of Ustyuzhensky District of Vologda Oblast, Russia, located on the Mologa River. Population:...
(now in Vologda Oblast
Vologda Oblast
Vologda Oblast is a federal subject of Russia . Its administrative center is Vologda. The largest city is Cherepovets.Vologda Oblast is rich in historic monuments, such as the magnificent Kirillo-Belozersky Monastery, Ferapontov Convent , medieval towns of Velikiy Ustyug and Belozersk, baroque...
of Russia
Russia
Russia or , officially known as both Russia and the Russian Federation , is a country in northern Eurasia. It is a federal semi-presidential republic, comprising 83 federal subjects...
). He graduated from Leningrad University
Saint Petersburg State University
Saint Petersburg State University is a Russian federal state-owned higher education institution based in Saint Petersburg and one of the oldest and largest universities in Russia....
with a degree in physics. He then studied with Fock
Vladimir Fock
Vladimir Aleksandrovich Fock was a Soviet physicist, who did foundational work on quantum mechanics and quantum electrodynamics....
and wrote a thesis on the foundations of statistical mechanics titled Mixing processes in phase space.
Krylov died after a prolonged illness.