Fluctuation-theory constraint for extensive entropy in Monte-Carlo simulations

Abstract

The entropy per particle in most Monte-Carlo simulations is size dependent due to correlated energy fluctuations. Guided by nanothermodynamics, we find a constraint for the Ising model that enhances the fluctuations and lowers the free energy, while making the entropy homogeneous, additive, and extensive. Although the average interaction energy becomes size dependent, the resulting distribution of energies provides a mechanism for the heterogeneity found in the dynamics of many materials.

13 pages, 3 figures

References in corpus (4)

• Dynamical Correlations as Origin of Nonextensive Entropy
• Fluctuations, correlations and the nonextensivity
• A free-energy landscape picture and Landau theory for the dynamics of disordered materials
• Monte-Carlo simulation of supercooled liquids using a self-consistent local temperature

Cited by in corpus (8)

• Maximum Caliber: a general variational principle for dynamical systems
• The Big World of Nanothermodynamics
• A maximum entropy thermodynamics of small systems
• Beyond the Boltzmann factor for corrections to scaling in ferromagnetic materials and critical fluids
• 1/f Noise from the Laws of Thermodynamics for Finite-Size Fluctuations
• Energy localization and excess fluctuations from long-range interactions in equilibrium molecular dynamics
• Fluctuation theorems and 1/f noise from a simple matrix
• Modified Bose-Einstein and Fermi-Dirac statistics if excitations are localized on an intermediate length scale: Application to non-Debye specific heat