Christina Forster and Harald A Posch 2005 New J. Phys. 7 32 doi:10.1088/1367-2630/7/1/032
Lyapunov modes in soft-disk fluids
Focus on Brownian Motion and Diffusion in the 21st CenturyChristina Forster and Harald A Posch
Show affiliationsPart of Focus on Brownian Motion and Diffusion in the 21st Century
Lyapunov modes are periodic spatial perturbations of phase-space states of many-particle systems, which are associated with the small positive or negative Lyapunov exponents. Although familiar for hard-particle systems in one, two and three dimensions, they have been difficult to find for soft particles. We present computer simulations for soft-disk systems in two dimensions and demonstrate the existence of the modes, where also Fourier-transformation methods are employed. We discuss some of their properties in comparison with equivalent hard-disk results. The whole range of densities corresponding to fluids is considered. We show that it is not possible to represent the modes by a two-dimensional vector field of the position perturbations alone (as is the case for hard disks), but the momentum perturbations are simultaneously required for their characterization.
- PACS
- Subjects
- Dates
-
Issue 1 (January 2005)
Received 9 September 2004
Published 31 January 2005
-
Lyapunov modes in soft-disk fluids
Christina Forster and Harald A Posch 2005 New J. Phys. 7 32
-
Surface morphology during anisotropic wet chemical etching of crystalline silicon
M A Gosálvez and R M Nieminen 2003 New J. Phys. 5 100
-
An automatic recording cell counter for monitoring growing populations of unicellular micro-organisms
K J Adams 1968 J. Phys. E: Sci. Instrum. 1 861
-
Nucleation and growth of apatite by a self-assembled polycrystalline bioceramic
Robert L Karlinsey et al 2006 Bioinspir. Biomim. 1 12
-
Calculation of the complementary variational modified bounds on the phonon thermal conductivity
I F I Mikhail and N E Hassanen 1995 J. Phys.: Condens. Matter 7 231
-
Adaptive polarimetric filtering: application to laser imagery
Christelle Kieleck et al 1997 Pure Appl. Opt. 6 749
-
Theory of high-order harmonic generation from molecules by intense laser pulses
Anh-Thu Le et al 2008 J. Phys. B: At. Mol. Opt. Phys. 41 081002
-
Observation of the resonant Stark effect at optical frequencies
F Schuda et al 1974 J. Phys. B: At. Mol. Phys. 7 L198
-
Towards a closed differential aging formula in special relativity
E Minguzzi 2007 J. Phys.: Conf. Ser. 66 012020
-
Diffusion processes and memory effects
Anatolii V Mokshin et al 2005 New J. Phys. 7 9
Users also read
What's this?- Stochastic pure states for quantum Brownian motion
- Molecular dynamics under confinement to one dimension: options of measurement and accessible information
- Mesoscopic thermodynamics of stationary non-equilibrium states