On the derivation of statistical thermodynamics from purely phenomenological principles

Benoit Mandelbrot

doi:10.1063/1.1704105

Journal of Mathematical Physics

Paper

22 Dec 2004

On the derivation of statistical thermodynamics from purely phenomenological principles

View publication

Abstract

Szilard pointed out in 1925 that it is possible to base the foundations of statistical thermodynamics upon "phenomenological" principles, analogous to those of the non-statistical "al" theory. This approach is discussed and developed.

Paper

Some Noises with 1/ f Spectrum, a Bridge Between Direct Current and White Noise

Benoit Mandelbrot

IEEE Trans. Inf. Theory

Paper

How long is the coast of Britain? Statistical self-similarity and fractional dimension

Benoit Mandelbrot

Science

Paper

Final note on a class of skew distribution functions: Analysis and critique of a model due to H. A. Simon

Benoit Mandelbrot

Information and Control

Paper

A note on a class of skew distribution functions: Analysis and critique of a paper by H. A. Simon

Benoit Mandelbrot

Information and Control

View all publications

Abstract

Related

Some Noises with 1/ f Spectrum, a Bridge Between Direct Current and White Noise

How long is the coast of Britain? Statistical self-similarity and fractional dimension

Final note on a class of skew distribution functions: Analysis and critique of a model due to H. A. Simon

A note on a class of skew distribution functions: Analysis and critique of a paper by H. A. Simon