Partitioning a macroscopic system into independent subsystems

Abstract

We discuss the problem of partitioning a macroscopic system into a collection of independent subsystems. The partitioning of a system into replica-like subsystems is nowadays a subject of major interest in several field of theoretical and applied physics, and the thermodynamic approach currently favoured by practitioners is based on a phenomenological definition of an interface energy associated with the partition, due to a lack of easily computable expressions for a microscopic (i.e.~particle-based) interface energy. In this article, we outline a general approach to derive sharp and computable bounds for the interface free energy in terms of microscopic statistical quantities. We discuss potential applications in nanothermodynamics and outline possible future directions.

This is an author-created, un-copyedited version of an article accepted for publication in JSTAT

References in corpus (8)

• Statistical mechanics and dynamics of solvable models with long-range interactions
• A single-atom heat engine
• Existence of temperature on the nanoscale
• The Big World of Nanothermodynamics
• Exponential inequalities for martingales and asymptotic properties of the free energy of directed polymers in random environment
• Long-range interacting systems in the unconstrained ensemble
• Adaptive Molecular Resolution Approach in Hamiltonian Form: An Asymptotic Analysis
• A Monte Carlo method for critical systems in infinite volume: the planar Ising model

Cited by in corpus (4)

• Connecting density fluctuations and Kirkwood-Buff integrals for finite-size systems
• Finite-size corrections for the static structure factor of a liquid slab with open boundaries
• Open quantum systems and the grand canonical ensemble
• Two-sided Bogoliubov inequality to estimate finite size effects in quantum molecular simulations