Abstract
We derive an expression which relates fluctuations in particle number, in the thermodynamic limit with fluctuations within a sub-region of an N -particle, two-dimensional, simple fluid. The accuracy of our result is tested against simulation results for a two-dimensional, hard-sphere fluid at a low, moderate, and high density state and we find agreement to within the uncertainties of the simulation when restrictions associated with the result are enforced. Also, we demonstrate the bulk isothermal compressibility can be accurately determined directly from fluctuation data obtained from simulations. Our expression yields a quantitative description of the (explicit) size effects associated with fluctuations within sub-regions of an N -particle system, and in particular explicitly shows a relation between size effects and particle correlations.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physica A: Statistical Mechanics and its Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
