Dissipative Particle Dynamics with Energy Conservation: Heat Conduction

We study, by means of numerical simulations, the model of dissipative particle dynamics with energy conservation for the simple case of thermal conduction. It is shown that the model displays correct equilibrium fluctuations and reproduces Fourier law. The connection between "mesoscopic coarse-graining" and "resolution" is clarified.

[1]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[2]  L. Lucy A numerical approach to the testing of the fission hypothesis. , 1977 .

[3]  C. Brooks Computer simulation of liquids , 1989 .

[4]  J. Koelman,et al.  Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics , 1992 .

[5]  J. Koelman,et al.  Dynamic simulations of hard-sphere suspensions under steady shear , 1993 .

[6]  P. Español,et al.  Statistical Mechanics of Dissipative Particle Dynamics. , 1995 .

[7]  Español,et al.  Hydrodynamics from dissipative particle dynamics. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  A. G. Schlijper,et al.  Computer simulation of dilute polymer solutions with the dissipative particle dynamics method , 1995 .

[9]  Coveney,et al.  Computer simulations of domain growth and phase separation in two-dimensional binary immiscible fluids using dissipative particle dynamics. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  P. Coveney,et al.  Computer simulation of rheological phenomena in dense colloidal suspensions with dissipative particle dynamics , 1996 .

[11]  P. Español,et al.  Dissipative particle dynamics with energy conservation , 1997 .

[12]  C. A. Marsh,et al.  Fokker-Planck-Boltzmann equation for dissipative particle dynamics , 1997 .

[13]  J. Ávalos,et al.  Dissipative particle dynamics with energy conservation , 1997, cond-mat/9706217.

[14]  Peter V. Coveney,et al.  Simulating the rheology of dense colloidal suspensions using dissipative particle dynamics , 1997 .

[15]  P. Español,et al.  Stochastic differential equations for non-linear hydrodynamics , 1998 .

[16]  P. Español,et al.  FLUID PARTICLE MODEL , 1998 .