Stochastic Thermodynamic Interpretation of Information Geometry

Area of Science:

• Physics
• Information Theory
• Biochemistry

Background:

• Stochastic thermodynamics increasingly utilizes information theory for non-equilibrium systems.
• Understanding non-stationary dynamics in systems far from equilibrium is a key challenge.

Purpose of the Study:

• To establish a novel connection between stochastic thermodynamics and information geometry.
• To interpret an information geometric inequality as a thermodynamic uncertainty relation.

Main Methods:

• Applying information geometry to stochastic thermodynamics.
• Numerically analyzing a biochemical enzyme reaction model.

Main Results:

• A new link between information geometry and stochastic thermodynamics was identified.
• An information geometric inequality was shown to represent a thermodynamic uncertainty relation between speed and cost.

Conclusions:

• The unified theory of information and thermodynamics provides valuable tools for studying complex systems.
• This work bridges information geometry and thermodynamics, offering new perspectives on non-equilibrium dynamics and biochemical processes.