Showing 1 - 10 of 106
We discuss here in detail a new analytical random walk approach to calculating the phase diagram for spatially extended systems with multiplicative noise. We use the Anderson localization problem as an example. The transition from delocalized to localized states is treated as a generalized...
Persistent link: https://www.econbiz.de/10011061349
A type of non-Hermitian generalization of quantum mechanics is discussed. We introduce an imaginary vector potential to the Hamiltonian of systems such as Anderson-localization systems and mesoscopic systems. In these systems the imaginary part of the wave number of the eigenfunction asymptote...
Persistent link: https://www.econbiz.de/10011059176
We investigate the electronic properties in sequences of single and double-strand DNA molecules made up from the nucleotides guanine G, adenine A, cytosine C and thymine T. Using a tight-binding formulation we solve the time-dependent Schrödinger equation to compute the spread of initially...
Persistent link: https://www.econbiz.de/10011059407
Motivated by increment process modeling for two correlated random and non-random systems from a discrete-time asset pricing with both risk free asset and risky security, we propose a class of semiparametric regressions for a combination of a non-random and a random system. Unlike classical...
Persistent link: https://www.econbiz.de/10010281538
The solution of reduced Fokker–Planck–Kolmogorov (FPK) equation resulted from the problems in statistical mechanics is formulated as an exponential function of polynomials in state variables. Special measure is taken to satisfy the FPK equation in the weak sense of integration with the...
Persistent link: https://www.econbiz.de/10010599509
An extension of the R/S method to estimate the Hurst exponent of high-dimensional fractals is proposed. The method’s performance was adequate when tested with synthetic surfaces having different preset Hurst exponent values and different array sizes. The two-dimensional R/S analysis is used to...
Persistent link: https://www.econbiz.de/10010588418
In one dimension, the emergence of non-equilibrium net currents is characteristic for periodically driven systems with broken spatial-reversal symmetry. We show that a similar effect also exists in two-dimensional random systems due to inevitable local symmetry breaking in the potential...
Persistent link: https://www.econbiz.de/10010589762
A surprising physical interpretation of the replica number n was unveiled in the study of the equilibrium properties of the coupled dynamics of fast Ising spins and slow interactions: n is the ratio of the characteristic temperatures of the spin and the interaction systems and can take on any...
Persistent link: https://www.econbiz.de/10010590220
This work shows potentials for rapid self-organisation of sensor networks where nodes collaborate to relay messages to a common data collecting unit (sink node). The study problem is, in the sense of graph theory, to find a shortest path tree spanning a weighted graph. This is a well-studied...
Persistent link: https://www.econbiz.de/10010590518
Here I will present an introduction to the results that have been recently obtained in constraint optimization of random problems using statistical mechanics techniques. After presenting the general results, in order to simplify the presentation I will describe in details the problems related to...
Persistent link: https://www.econbiz.de/10010872745