Mathematical Formalism for Isothermal Linear Irreversibility

Details Mathematical Formalism for Isothermal Linear Irreversibility Mathematical Formalism for Isothermal Linear Irreversibility

2000-07-08

arxiv.org/abs/math-ph/0007009v2

Proc. R. Soc. Lond. A, Vol. 457, pp. 1645-1655 (2001)

Physics

Mathematical Physics

15 pages

Scientific paper

10.1098/rspa.2001.0811

We prove the equivalence among symmetricity, time reversibility, and zero entropy production of the stationary solutions of linear stochastic differential equations. A sufficient and necessary reversibility condition expressed in terms of the coefficients of the equations is given. The existence of a linear stationary irreversible process is established. Concerning reversibility, we show that there is a contradistinction between any 1-dimensional stationary Gaussian process and stationary Gaussian process of dimension $n>1$. A concrete criterion for differentiating stationarity and sweeping behavior is also obtained. The mathematical result is a natural generalization of Einstein's fluctuation-dissipation relation, and provides a rigorous basis for the isothermal irreversibility in a linear regime which is the basis for applying Onsager's theory to macromolecules in aqueous solution.

Affiliated with

Also associated with

No associations

Rating

Mathematical Formalism for Isothermal Linear Irreversibility 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 Mathematical Formalism for Isothermal Linear Irreversibility, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mathematical Formalism for Isothermal Linear Irreversibility will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-69222