Nanothermodynamics: There's Plenty of Room on the Inside

Area of Science:

• Statistical Mechanics
• Condensed Matter Physics
• Thermodynamics

Background:

• Nanothermodynamics offers a theoretical framework for understanding subsystems within larger systems.
• Existing models often struggle to accurately predict material properties, especially near phase transitions or in complex dynamic systems.

Purpose of the Study:

• To review and emphasize the utility of nanothermodynamics in improving agreement with measured material properties.
• To highlight how nanothermodynamic concepts, particularly orthogonal dynamics, explain complex phenomena like dielectric loss and noise spectra.
• To demonstrate nanothermodynamics' novel solutions to fundamental thermodynamic paradoxes (Gibbs', Loschmidt's) and its application to statistical models (Ising).

Main Methods:

• Review of theoretical models incorporating nanothermodynamic principles.
• Application of 'orthogonal dynamics' allowing separate time steps for energy and momentum conservation.
• Analysis of experimental data including ferromagnetic transitions, liquid-glass transitions, and noise in films/qubits.

Main Results:

• Improved agreement between theoretical models and measured properties of various materials.
• Explanation of non-classical critical scaling, complex thermal/dynamic behavior, and 1/f-like noise using nanothermodynamics.
• Resolution of Gibbs' paradox, stable equilibrium in finite Ising models, and insights into Loschmidt's paradox regarding the arrow of time.

Conclusions:

• Nanothermodynamics provides a robust theoretical foundation for diverse physical phenomena, from material properties to fundamental thermodynamic questions.
• Orthogonal dynamics is a key feature enabling the explanation of multi-response relaxation and noise crossovers.
• The framework offers new perspectives on entropy, equilibrium, and irreversibility, even in small N systems.