Non-Equilibrium Thermodynamics of Dissipative Structures
~60 min · 15 stations
Start reading — Station 01Conductor
Mind the gap between the equilibrium you know and the chaos ahead; we’re steaming into the far-from-equilibrium engine room now. Keep your ticket handy, for the physics here gets mighty turbulent.
What you will learn
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FOUNDATION
Establishes the core vocabulary and essential context you need before going further.
• Learner will be able to derive the local equilibrium hypothesis and the entropy production rate for open chemical systems.
▶• Learner will be able to map chemical reaction fluxes to thermodynamic forces within the linear phenomenological regime.
▶• Learner will be able to evaluate the excess entropy production condition for stability in non-equilibrium steady states.
▶CORE CONCEPTS
Unpacks the ideas and principles that the subject is built on.
• Learner will be able to formulate the Turing instability conditions for spatial pattern formation in multicomponent chemical systems.
▶• Learner will be able to quantify the role of non-linear feedback loops in sustaining dissipative structures.
▶• Learner will be able to perform linear stability analysis to identify Hopf and pitchfork bifurcations in reaction networks.
▶MECHANICS
Examines how things actually work — the processes, rules, and systems in action.
• Learner will be able to characterize the topological properties of chemical dissipative structures using Lyapunov exponents.
▶• Learner will be able to derive the conditions for limit cycle oscillations in far-from-equilibrium chemical systems.
▶• Learner will be able to model hysteresis phenomena in bistable chemical networks using potential landscape mapping.
▶APPLICATION
Puts knowledge to use through real-world scenarios and practical problems.
• Learner will be able to employ the Chemical Master Equation to describe fluctuations in small-volume dissipative systems.
▶• Learner will be able to approximate the Chemical Master Equation using the Fokker-Planck equation for continuous state space analysis.
▶• Learner will be able to apply the fluctuation theorem to quantify entropy production in finite, far-from-equilibrium systems.
▶SYNTHESIS
Connects everything together and explores broader implications and open questions.
• Learner will be able to derive bounds on current fluctuations in terms of entropy production rates.
▶• Learner will be able to quantify the energetic cost of information processing in molecular machines.
▶• Learner will be able to integrate thermodynamic constraints into the design of synthetic out-of-equilibrium chemical circuits.
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