110,331 research outputs found
Balls-in-boxes duality for coalescing random walks and coalescing Brownian motions
We present a duality relation between two systems of coalescing random walks
and an analogous duality relation between two systems of coalescing Brownian
motions. Our results extends previous work in the literature and we apply it to
the study of a system of coalescing Brownian motions with Poisson immigration.Comment: 13 page
Creep motion of a domain wall in the two-dimensional random-field Ising model with a driving field
With Monte Carlo simulations, we study the creep motion of a domain wall in
the two-dimensional random-field Ising model with a driving field. We observe
the nonlinear fieldvelocity relation, and determine the creep exponent {\mu}.
To further investigate the universality class of the creep motion, we also
measure the roughness exponent {\zeta} and energy barrier exponent {\psi} from
the zero-field relaxation process. We find that all the exponents depend on the
strength of disorder.Comment: 5 pages, 4 figure
Recommended from our members
Scenarios of energy efficiency and CO2 emissions reduction potential in the buildings sector in China to year 2050
As China’s rapid urbanization continues and urban dwellers become more affluent, energy use in buildings is expected to grow. To understand how this growth can be slowed, we explore four scenarios for Chinese buildings, ranging from a high-energy-demand scenario with no new energy policies to lowest energy demand under a techno-economic-potential scenario that assumes full deployment of cost-effective efficient and renewable technologies by 2050. We show that, in the high energy demand scenario, building energy demand has an average annual growth rate of about 2.8%, with slower growth rates in the other three scenarios. In all scenarios, CO2 emissions grow slower than energy, with building CO2 peaking around 2045 in the high energy demand scenario, and as early as 2030 in the techno-economic-potential scenario. We show that although various technological solutions, systems and practices can be very effective in minimizing building energy use, rigorous policies are needed to overcome multiple implementation barriers
Bosons in a double-well potential: Understanding the interplay between disorder and interaction in a simple model
We propose an exactly solvable model to reveal the physics of the interplay
between interaction and disorder in bosonic systems. Considering interacting
bosons in a double-well potential, in which disorder is mimicked by taking the
energy level mismatch between the two wells to be randomly distributed, we find
"two negatives make a positive" effect. While disorder or interaction by itself
suppresses the phase coherence between the two wells, both together enhance the
phase coherence. This model also captures several striking features of the
disordered Bose-Hubbard model found in recent numerical simulations. Results at
finite temperatures may help explain why a recent experiment did not find any
evidence for the enhancement of phase coherence in a disordered bosonic system.Comment: Published version, 4 pages, 4 figure
Corrections to scaling in the dynamic approach to the phase transition with quenched disorder
With dynamic Monte Carlo simulations, we investigate the continuous phase
transition in the three-dimensional three-state random-bond Potts model. We
propose a useful technique to deal with the strong corrections to the dynamic
scaling form. The critical point, static exponents and , and
dynamic exponent are accurately determined. Particularly, the results
support that the exponent satisfies the lower bound .Comment: 10 pages, 6 figures, 2 table
Instability analysis procedure for 3-level multi-bearing rotor-foundation systems
A procedure for the instability analysis of a three-level multispan rotor systems is described. This procedure is based on a distributed mass elastic representation of the rotor system in several eight-coefficient bearings. Each bearing is supported from an elastic foundation on damped, elastic pedestals. The foundation is represented as a general distributed mass elastic structure on discrete supports, which may have different stiffness and damping properties in the horizontal and vertical directions. This system model is suited to studies of instability threshold conditions for multirotor turbomachines on either massive or flexible foundations. The instability conditions is found by obtaining the eigenvalues of the system determinant, which is obtained by the transfer matrix method from the three-level system model. The stability determinant is solved for the lowest rotational speed at which the system damping becomes zero in the complex eigenvalue, and for the whirl frequency corresponding to the natural frequency of the unstable mode. An efficient algorithm for achieving this is described. Application of this procedure to a rigid rotor in two damped-elastic bearings and flexible supports is described. A second example discusses a flexible rotor with four damped-elastic bearings. The third case compares the stability of a six-bearing 300 Mw turbine generator unit, using two different bearing types. These applications validate the computer program and various aspects of the analysis
- …