Deriving the distribution of N-particle kinetic energies in a classical system

Molecular Simulation

Volumn 33, Issue 14, 2007, Pages 1165-1166

  Dimelow, R J ^a   Masters, A J ^b  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Canonical distribution; Derivation; Maxwell Boltzman; Thermostat

Indexed keywords

BOLTZMANN EQUATION; COMPUTER SIMULATION; MAXWELL EQUATIONS; MOLECULAR DYNAMICS; THERMOSTATS;

CANONICAL DISTRIBUTIONS; CLASSICAL SYSTEMS; MAXWELL BOLTZMAN; SINGLE PARTICLES;

KINETIC ENERGY;

EID: 36949037119     PISSN: 08927022     EISSN: 10290435     Source Type: Journal    
DOI: 10.1080/08927020701613649     Document Type: Article

References (13)

1. P.H. Hunenberger. Thermostat algorithms for molecular dynamics simulations. Adv. Polym. Sci, 173, 105 (2005).
2. H.J.C. Berendsen, J.P.M. Postma, W.F. van Gunsteren, A, DiNola, J.R. Haak. Molecular dynamics with, coupling to an external bath. J. Chem. Phys., 81, 3684 (1984).
3. S. Nose. A unified formulation of the constant temperature molecular dynamics methods. J. Chem. Phys., 81, 511 (1984).
4. S. Nose. A molecular dynamics method for simulations in the canonical ensemble. Mol. Phys., 52, 255 (1984).
5. W.G. Hoover. Canonical dynamics: equilibrium phase-space distributions. Phys. Rev. A, 31, 1695 (1985).
6. H.C. Andersen. Molecular dynamics simulations at constant pressure and/or temperature. J. Chem. Phys., 72, 2384 (1980).
7. G. Bussi, D. Donadio, M. Parinello. Canonical sampling through velocity rescaling. J. Chem. Phys., 126, 014101 (2007).
8. J.S. Rowlinson. The Maxwell-Boltzmann distribution. Mol. Phys., 103, 2821 (2005).
9. D. Constantini, U. Garibaldi. A probabilistic foundation of elementary particle statistics. Part I, Stud. Hist. Phil Mod. Phys., 28, 483 (1997).
10. F. Mandl. Statistical Physics, 2nd Ed., Wiley, New York (1988).
11. M, Partriaca, A. Chakraborti, K. Kaski. Statistical model with a standard T distribution. Phys. Rev. E, 70, 016104 (2004).
12. M. Partriarca, A. Chakraborti, K. Kaski, G. Germano. Kinetic theory models for the distribution of wealth: power law from overlap of exponentials, http://arxiv.org/abs/physics/0504153 (2005).
13. M.L. Boas. Mathematical Methods in the Physical Sciences, 3rd Ed., Wiley, New York (2005).