Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-03-23
Physics
Condensed Matter
Statistical Mechanics
4 pages
Scientific paper
10.1209/epl/i2004-10333-0
The validity of two fundamental concepts of classical chemical kinetics - the notion of "Chemical Equilibrium" and the "Law of Mass Action" - are re-examined for reversible \textit{diffusion-limited} reactions (DLR), as exemplified here by association/dissociation $A+A \rightleftharpoons B$ reactions. We consider a general model of long-ranged reactions, such that any pair of $A$ particles, separated by distance $\mu$, may react with probability $\omega_+(\mu)$, and any $B$ may dissociate with probability $\omega_-(\lambda)$ into a geminate pair of $A$s separated by distance $\lambda$. Within an exact analytical approach, we show that the asymptotic state attained by reversible DLR at $t = \infty$ is generally \textit{not a true thermodynamic equilibrium}, but rather a non-equilibrium steady-state, and that the Law of Mass Action is invalid. The classical picture holds \text{only} in physically unrealistic case when $\omega_+(\mu) \equiv \omega_-(\mu)$ for any value of $\mu$.
Moreau Mathieu
Oshanin Gleb
Voituriez Raphael
No associations
LandOfFree
Reversible Diffusion-Limited Reactions: "Chemical Equilibrium" State and the Law of Mass Action Revisited 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 Reversible Diffusion-Limited Reactions: "Chemical Equilibrium" State and the Law of Mass Action Revisited, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reversible Diffusion-Limited Reactions: "Chemical Equilibrium" State and the Law of Mass Action Revisited will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-678422