
Recent Posts
Archives
 March 2023
 January 2023
 May 2020
 April 2020
 March 2020
 June 2018
 July 2016
 June 2016
 May 2016
 March 2015
 February 2015
 January 2015
 December 2014
 December 2013
 November 2013
 July 2013
 June 2013
 May 2013
 March 2013
 February 2013
 January 2013
 December 2012
 November 2012
 October 2012
 September 2012
 August 2012
 April 2012
 March 2012
 February 2012
 January 2012
 December 2011
 November 2011
 October 2011
Categories
Meta
Pages
Monthly Archives: March 2012
Kinetic Theory, Entropy and Information Theory
This is really a continuation from the series “Thermodynamics for Mathematicians”. Our discussion then wasn’t quite complete without some justifications of the facts we used from kinetic theory of gases, in particular, we will figure out the constant c in the … Continue reading
Posted in Notes
Tagged energy, entropy, heat, information theory, nonimo, physics, statistical physics, thermodynamics
Leave a comment
Thermodynamics for Mathematicians (IV)
Note: for this installation, we now require multivariate calculus, specifically partial differentiation. 10. More State Parameters For this section, let’s consider the case of a homogeneous gas, whose state is parametrised by (P, V, N), where N is kept constant for now. … Continue reading
Thermodynamics for Mathematicians (III)
Note: calculus, specifically integration, is essential in this article, though students can possibly just substitute it with summation to achieve the same result. In the previous installation, we defined a temperature scale by looking at the efficiency of a heat … Continue reading
Thermodynamics for Mathematicians (II)
We continue our discussion of thermodynamics. Warning: some of the examples will involve calculus and a bit of (ordinary) differential equations. 3. Work Done by/on the System A system can do work, e. g. when a gas expands and pushes against … Continue reading