**Ludwig Eduard Boltzmann** (February 20, 1844 – September 5, 1906) was a well-known Austrian physicist, member of the Impreial Austrian Academy of Sciences. He was considered to build the foundations for scientific fields including statistical mechanics and statistical thermodynamics. He was one of the major contributors for atomic theory while the atomic model was still highly controversial. Besides Max Planck, he was also the first person who had ideas for quantum theory.

Biography
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### Childhood and Education

Boltzmann was born in Vienna, the capital of Austrian Empire. His father, Ludwig George Boltzmann, was a tax official. His mother, Katharina Pauernfeind, came from Salzburg. At childhood, his parents invited a private tutor to teach him. He then attended high school in Linz. When he was 15 years old, his father died.

Since 1863, Boltzmann studied physics at the University of Vienna. Some of his teachers were Johann Josef Loschmidt, Joseph Stefan, Andreas von Ettingshausen and Jozef Petzval. Boltzmann received his doctorate in 1866. In 1867, Boltzmann was already a university lecturer. After earning his doctorate, Boltzmann worked for two years as Stefan's assistant. Stefan then introduced him James Clerk Maxwell's work.

### Career

In 1869 at age 25, he was appointed full professor of mathematical physics at the University of Graz. In 1869 he spent several months working with Robert Bunsen and Leo Königsberger at Heidelberg. In 1871 he worked with Gustav Kirchhoff and Hermann von Helmholtz in Berlin. In 1873 Boltzmann went to the University of Vienna as a professor of mathematics and stayed there until 1876.

 Ludwig Boltzmann and colleagues in Graz, 1887
In 1872, he met Henriette von Aigentler, a math and physics teacher in Graz. In 1876, they got married and had three daughters and two sons. Boltzmann returned to Graz as head of the Department of Physics. About 14 years in Graz, he developed his concept of natural statistics. In 1885 he became a member of the Imperial Austrian Academy of Sciences and in 1887 he became President of the University of Graz.

In 1890, Boltzmann became head of the department of Theoretical Physics at the University of Munich in Germany .

In 1893, Boltzmann succeeded Joseph Stefan as Professor of Theoretical Physics at the University of Vienna.

Physics
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Boltzmann was a classical physicist, but had a great influence on the modern physics including statistical mechanics and statistical thermodynamics. The Boltzmann equations are key ideas for non-equilibrium thermodynamics and reversible processes. Boltzmann also has great merit in formulating and defending the second law of thermodynamics, developing the definition of entropy from a purely statistical point of view.

The entropy equation, engraved on his tombstone, is Boltzmann's great scientific achievement:{\displaystyle S=k\,\ln W}

Trên bia mộ của Boltzmann ở Zentralfriedhof, Wien, có khắc phương trình entropy S = k log W On Boltzmann's tombstone at Zentralfriedhof, Vienna, is engraved the entropy equation S = k log W

Boltzmann Equation
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The Boltzmann equation describes the dynamics of an ideal gas.

{\displaystyle {\frac {\partial f}{\partial t}}+v{\frac {\partial f}{\partial x}}+{\frac {F}{m}}{\frac {\partial f}{\partial v}}={\frac {\partial f}{\partial t}}\left.{\!\!{\frac {}{}}}\right|\_{\mathrm {collision} }}

Other websites
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* Ruth Lewin Sime, *Lise Meitner: A Life in Physics* Chapter One: Girlhood in Vienna gives Lise Meitner 's account of Boltzmann's life and career.
* Ludwig Boltzmann Archived 2008-09-29 at the Wayback Machine, University of Vienna.
* Ali Eftekhari, Ludwig Boltzmann (1844–1906)
* Scienceworld biography
* Ludwig Boltzmann's Gravesite