Special Issue "Scale Invariance and Nonequilibrium Thermodynamics in Natural Systems"
Deadline for manuscript submissions: closed (31 January 2019)
There has been an equivalent formalism of equilibrium thermodynamics in terms of fractal quantities for two or three decades. However, the derivation of a physical mapping in terms of Hamiltonian flux dynamics for open non-equilibrium systems is a more recent development. This Special Issue of Entropy is intended to offer a publication forum examining these ideas; experimental, observational and theoretical. It has been argued that since scale invariance has been observed on all scales from molecular to astronomical, the technique is potentially applicable to a very wide range of phenomena; the utility of entropy and chemical potential—the Gibbs energy of individual substances—should offer many avenues of exploration.
The recent research history of this topic may be found in a pair of references: Lovejoy and Schertzer (2013) and Tuck (2017). Potentially cutting edge applications of the approach include the use of Gibbs energy to characterise complex, macroscopic chemical reaction systems in milieux as varied as biological cells and planetary atmospheres. A subset of these systems is the scale invariance observed in biopolymers such as proteins and nucleic acids, and in the lipids constructing the walls of single-celled organisms.
Lovejoy, S.; Schertzer, D. The Weather and Climate: Emergent Laws and Multifractal Cascades, Box 5.1; Cambridge University Press: Cambridge, UK, 2013; pp. 127-128.
Tuck, A. F. Proposed Empirical Entropy and Gibbs Energy Based on Observations of Scale Invariance in Open Non-Equilibrium Systems. J. Phys. Chem. A, 2017, 121, 6620-6629.
Prof. Dr. Adrian Tuck
Manuscript Submission Information
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- Statistical multifractals
- Gibbs energy
- Chemical reaction
- Astronomical molecular clouds