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Analysis of the Dynamics of Liquid Aluminium: Recurrent Relation Approach
A. V. Mokshin, R. M. Yulmetyev, R. M. Khusnutdinoff +1
By use of the recurrent relation approach (RRA) we study the microscopic dynamics of liquid aluminium at T=973 K and develop a theoretical model which satisfies all the correspondi…
A simple measure of memory for dynamical processes described by the generalized Langevin equation
Anatolii V. Mokshin, Renat M. Yulmetyev, Peter Hänggi
Memory effects are a key feature in the description of the dynamical systems governed by the generalized Langevin equation, which presents an exact reformulation of the equation of…
Relaxation time scales in collective dynamics of liquid alkali metals
Anatolii V. Mokshin, Renat M. Yulmetyev, Peter Hänggi
In this paper the investigation of the dynamical processes of liquid alkali metals is executed by analyzing the time scales of relaxation processes in liquids. The obtained theoret…
Diffusion Time-Scale Invariance, Markovization Processes and Memory Effects in Lennard-Jones Liquids
Renat M. Yulmetyev, Anatolii V. Mokshin, Peter Hänggi
We report the results of calculation of diffusion coefficients for Lennard-Jones liquids, based on the idea of time-scale invariance of relaxation processes in liquids. The results…
What do phase space methods tell us about disordered quantum systems?
G. -L. Ingold, A. Wobst, C. Aulbach +1
Introduction Phase space methods in quantum mechanics - The Wigner function - The Husimi function - Inverse participation ratio Anderson model in phase space - Husimi functions - I…
Delocalization and Heisenberg's uncertainty relation
Gert-Ludwig Ingold, Andre Wobst, Christian Aulbach +1
In the one-dimensional Anderson model the eigenstates are localized for arbitrarily small amounts of disorder. In contrast, the Harper model with its quasiperiodic potential shows…
From ballistic motion to localization: a phase space analysis
Andre Wobst, Gert-Ludwig Ingold, Peter Hänggi +1
We introduce phase space concepts to describe quantum states in a disordered system. The merits of an inverse participation ratio defined on the basis of the Husimi function are de…