Search Results - subject:"pair correlation function"

Central limit theorem for the integrated squared error of the empirical second-order product density and goodness-of-fit tests for stationary point processes

Heinrich, Lothar; Klein, Stella - In: Statistics & Risk Modeling 28 (2011) 4, pp. 359-387

pair correlation function when the observation window expands unboundedly. The proof techniques are based on higher … correlation function, are important tools for analyzing stationary point processes. In the present work we derive central limit … space, where usually d = 2 or d = 3 in applications. The second-order product density and its isotropic analogue, the pair …

Persistent link: https://www.econbiz.de/10014622210

Molecular dynamics analyses of an Al(110) surface

Lim, M.C.G.; Zhong, Z.W. - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 19, pp. 4083-4090

reported by Schommers. The pair correlation function is examined at different temperatures in order to analyze the trends for …

Persistent link: https://www.econbiz.de/10010589106

Ring approximation at equilibrium: The hard sphere pair correlation function

Piasecki, Jarosław; Soto, Rodrigo - In: Physica A: Statistical Mechanics and its Applications 379 (2007) 2, pp. 409-416

equilibrium the ring approximation reproduces correctly the main qualitative features of the pair correlation function. We find a …

Persistent link: https://www.econbiz.de/10011062949

On the realizability of pair correlation functions

Uche, O.U.; Stillinger, F.H.; Torquato, S. - In: Physica A: Statistical Mechanics and its Applications 360 (2006) 1, pp. 21-36

The pair correlation function g2(r) provides a basic geometric descriptor for many-particle systems. It must obey two …, and a contact δ plus step pair correlation function. Results indicate that the former target function is realizable up to …

Persistent link: https://www.econbiz.de/10011062940

Further notes concerning the partial pair correlation functions of liquid (ambient) water

Pusztai, László - In: Physica A: Statistical Mechanics and its Applications 314 (2002) 1, pp. 514-520

Methods for deriving partial pair correlation functions for liquid water are considered. It is argued that the one based on Reverse Monte Carlo modeling [Phys. Rev. B 60 (1999) 11851] is more suitable for the purpose than direct separation (of which the latter is based on the inversion of the...

Persistent link: https://www.econbiz.de/10011062656

Cluster structure and dynamics in a mesoscopic solvent

Lee, Song Hi; Kapral, Raymond - In: Physica A: Statistical Mechanics and its Applications 298 (2001) 1, pp. 56-68

The structural properties and dynamics of molecular clusters embedded in a mesoscopic solvent are investigated. The solvent interactions are taken into account through a multi-particle collision operator that conserves mass, momentum and energy and the solvent dynamics is updated at discrete...

Persistent link: https://www.econbiz.de/10010590775

Influence of the Coulomb interaction on the Fermi hole in an electron liquid

Horiuchi, Masafumi; Endo, Takanori; Yasuhara, Hiroshi - In: Physica A: Statistical Mechanics and its Applications 255 (1998) 1, pp. 48-64

/3, where pf is the Fermi wave number and g↑↑(r) the spin-parallel pair correlation function. The second derivative of g↑↑(r) at …

Persistent link: https://www.econbiz.de/10011058799

Estimation variances for estimators of product densities and pair correlation functions of planar point processes

Stoyan, D.; Bertram, U.; Wendrock, H. - In: Annals of the Institute of Statistical Mathematics 45 (1993) 2, pp. 211-221

Persistent link: https://www.econbiz.de/10005184681