Small Open Chemical Systems Theory and Its Implications to Darwinian Evolutionary Dynamics, Complex Self-Organization and Beyond

Abstract

The study of biological cells in terms of mesoscopic, nonequilibrium, nonlinear, stochastic dynamics of open chemical systems provides a paradigm for other complex, self-organizing systems with ultra-fast stochastic fluctuations, short-time deterministic nonlinear dynamics, and long-time evolutionary behavior with exponentially distributed rare events, discrete jumps among punctuated equilibria, and catastrophe.

15 pages

References in corpus (10)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Energetic Costs of Cellular Computation
• Stochastic mechano-chemical kinetics of molecular motors: a multidisciplinary enterprise from a physicist's perspective
• Stochastic Dynamical Structure (SDS) of Nonequilibrium Processes in the Absence of Detailed Balance. IV: Emerging of Stochastic Dynamical Equalities and Steady State Thermodynamics from Darwinian Dynamics
• Fluctuation Relations for Diffusion Processes
• Markovian Dynamics on Complex Reaction Networks
• A Decomposition of Irreversible Diffusion Processes Without Detailed Balance
• Markov processes follow from the principle of Maximum Caliber
• Fact-checking Ziegler's maximum entropy production principle beyond the linear regime and towards steady states
• Stochastic Physics, Complex Systems and Biology