Shannon Meets Carnot: Generalized Second Thermodynamic Law

Details Shannon Meets Carnot: Generalized Second Thermodynamic Law Shannon Meets Carnot: Generalized Second Thermodynamic Law

2008-06-23

arxiv.org/abs/0806.3763v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1209/0295-5075/85/10006

The classical thermodynamic laws fail to capture the behavior of systems with energy Hamiltonian which is an explicit function of the temperature. Such Hamiltonian arises, for example, in modeling information processing systems, like communication channels, as thermal systems. Here we generalize the second thermodynamic law to encompass systems with temperature-dependent energy levels, $dQ=TdS+dT$, where $<\cdot>$ denotes averaging over the Boltzmann distribution and reveal a new definition to the basic notion of temperature. This generalization enables to express, for instance, the mutual information of the Gaussian channel as a consequence of the fundamental laws of nature - the laws of thermodynamics.

Affiliated with

Also associated with

No associations

Rating

Shannon Meets Carnot: Generalized Second Thermodynamic Law does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Shannon Meets Carnot: Generalized Second Thermodynamic Law, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Shannon Meets Carnot: Generalized Second Thermodynamic Law will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96776