Treating random sequential addition via the replica method

While many physical processes are non-equilibrium in nature, the theory and modeling of such phenomena lag behind theoretical treatments of equilibrium systems. The diversity of powerful theoretical tools available to describe equilibrium systems has inspired strategies that map non-equilibrium syst...

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Bibliographic Details
Published in:The Journal of chemical physics 2022-08, Vol.157 (8), p.084116-084116
Main Authors: Jadrich, Ryan B., Lindquist, Beth A., Truskett, Thomas M.
Format: Article
Language:English
Subjects:
Classical statistical mechanics
Equilibrium thermodynamics
INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
Interrogation
Material science
Mathematical models
Nonequilibrium statistical mechanics
Nonequilibrium thermodynamics
Numerical prediction
Statistical thermodynamics
Thermodynamic functions
Thermodynamic properties
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Summary:While many physical processes are non-equilibrium in nature, the theory and modeling of such phenomena lag behind theoretical treatments of equilibrium systems. The diversity of powerful theoretical tools available to describe equilibrium systems has inspired strategies that map non-equilibrium systems onto equivalent equilibrium analogs so that interrogation with standard statistical mechanical approaches is possible. In this work, we revisit the mapping from the non-equilibrium random sequential addition process onto an equilibrium multi-component mixture via the replica method, allowing for theoretical predictions of non-equilibrium structural quantities. We validate the above approach by comparing the theoretical predictions to numerical simulations of random sequential addition.
ISSN:0021-9606
1089-7690
DOI:10.1063/5.0096276