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of 134
pro vyhledávání: '"Morriss, Gary P."'
Autor:
Morriss, Gary
In a quasi-one-dimensional system the particles remain ordered from left to right allowing the association of a volume element to the particle which on average resides there. Thus the properties of that single particle can give the local densities in
Externí odkaz:
http://arxiv.org/abs/1409.3259
Autor:
Truant, Daniel P., Morriss, Gary P.
Publikováno v:
Phys. Rev. E 90, 052907 (2014)
The covariant Lyapunov analysis is generalised to systems attached to deterministic thermal reservoirs that create a heat current across the system and perturb it away from equilibrium. The change in the Lyapunov exponents as a function of heat curre
Externí odkaz:
http://arxiv.org/abs/1405.7319
Dissipation and Entropy Production in Deterministic Heat Conduction of Quasi-one-dimensional Systems
Autor:
Morriss, Gary P., Truant, Daniel P.
We explore the consequences of a deterministic microscopic thermostat-reservoir contact mechanism. With different temperature reservoirs at each end of a two-dimensional system, a heat current is produced and the system has an anomalous thermal condu
Externí odkaz:
http://arxiv.org/abs/1305.2911
Covariant vectors, Lyapunov vectors, or Oseledets vectors are increasingly being used for a variety of model analyses in areas such as partial differential equations, nonautonomous differentiable dynamical systems, and random dynamical systems. These
Externí odkaz:
http://arxiv.org/abs/1204.0871
Autor:
Morriss, Gary P.
The Lyapunov exponent spectrum and covariant Lyapunov vectors are studied for a quasi-one-dimensional system of hard disks as a function of density and system size. We characterize the system using the angle distributions between covariant vectors an
Externí odkaz:
http://arxiv.org/abs/1202.1571
We demonstrate the preservation of the Lyapunov modes by the underlying tangent space dynamics of hard disks. This result is exact for the zero modes and correct to order $\epsilon$ for the transverse and LP modes where $\epsilon$ is linear in the mo
Externí odkaz:
http://arxiv.org/abs/0904.1286
Autor:
Taniguchi, Tooru, Morriss, Gary P.
We present the first numerical observation of Lyapunov modes (mode structure of Lyapunov vectors) in a system maintained in a nonequilibrium steady state. The modes show some similarities and some differences when compared with the results for equili
Externí odkaz:
http://arxiv.org/abs/nlin/0611045
Autor:
Taniguchi, Tooru, Morriss, Gary P.
The relation between the Lyapunov modes (delocalized Lyapunov vectors) and the momentum autocorrelation function is discussed in two-dimensional hard-disk systems. We show numerical evidence that the smallest time-oscillating period of the Lyapunov m
Externí odkaz:
http://arxiv.org/abs/nlin/0509046
Autor:
Taniguchi, Tooru, Morriss, Gary P.
Publikováno v:
Phys. Rev. E 73, 036208 (2006)
The dynamics of the localized region of the Lyapunov vector for the largest Lyapunov exponent is discussed in quasi-one-dimensional hard-disk systems at low density. We introduce a hopping rate to quantitatively describe the movement of the localized
Externí odkaz:
http://arxiv.org/abs/nlin/0506060