Atomic spin-sensitive dissipation on magnetic surfaces

We identify the mechanism of energy dissipation relevant to spin-sensitive nanomechanics including the recently introduced magnetic exchange force microscopy, where oscillating magnetic tips approach surface atomic spins. The tip-surface exchange couples spin and atom coordinates, leading to a spin-phonon problem with Caldeira-Leggett-type dissipation. In the overdamped regime, that can lead to a hysteretic flip of the local spin with a large spin-dependent dissipation, even down to the very low experimental tip oscillation frequencies, describing recent observations for Fe tips on NiO. A phase transition to an underdamped regime with dramatic drop of magnetic tip dissipation should in principle be possible by tuning tip-surface distance.     

Energy dissipation in solid friction

Dissipation in solid friction is studied as a function of the elastic properties of the two sliding surfaces. The two surfaces have been constructed by embedding macroscopic asperities in an elastic layer. It is shown that when the surfaces are rigid the energy dissipation is smaller than in the elastic case. The scaling of the friction force as a function of the asperity number is also studied. Received 9 November 1998     

Energy dissipation of a friction damper

In this paper the energy dissipated through friction is analysed for a type of friction dampers used to reduce squeal noise from railway wheels. A one degree-of-freedom system is analytically studied. First the existence and stability of a periodic solution are demonstrated and then the energy dissipated per cycle is determined as a function of the system parameters. In this way the influence of the mass, natural frequency and internal damping of the friction damper on the energy dissipation is established. It is shown that increasing the mass and reducing the natural frequency and internal damping of the friction damper maximizes the dissipated energy.     

声子摩擦能量耗散机理研究

以界面摩擦为研究对象,分析了黏滑过程中的能量积累和耗散问题.基于晶格热动力学理论,通过分析界面原子在周期性势场中跳跃前后的势能差,推导了界面原子温升公式.理论表明,界面温升与摩擦系统的接触状态和材料特性有关,界面交互势能是其中影响较大的因素之一.在滑动阶段初期,由于界面原子处于非热平衡状态,晶格的热振动将通过激发出新声子而耗散能量,从而使得非热平衡向平衡状态转变.通过引入量子力学和热力学理论,分析了界面摩擦能量的耗散规律.结果表明,当声子振动频率较大时,黏着阶段存储于界面振子上的弹性势能在滑动阶段就很快完全耗散,耗散时间远小于滑动阶段的时间. 关键词： 界面摩擦 黏滑 声子 温升     

Energy dissipation prediction of particle dampers

This paper presents initial work on developing models for predicting particle dampers (PDs) behaviour using the Discrete Element Method (DEM). In the DEM approach, individual particles are typically represented as elements with mass and rotational inertia. Contacts between particles and with walls are represented using springs, dampers and sliding friction interfaces. In order to use DEM to predict damper behaviour adequately, it is important to identify representative models of the contact conditions. It is particularly important to get the appropriate trade-off between accuracy and computational efficiency as PDs have so many individual elements. In order to understand appropriate models, experimental work was carried out to understand interactions between the typically small (～1.5–3 mm diameter) particles used. Measurements were made of coefficient of restitution and interface friction. These were used to give an indication of the level of uncertainty that the simplest (linear) models might assume. These data were used to predict energy dissipation in a PD via a DEM simulation. The results were compared with that of an experiment.     

Energy dissipation in rotary structural joints

Many structures and mechanical assemblies are held together by connections containing two friction surfaces in contact under the action of a constant clamping force. When the structure is vibrating the external load acting on the joint is a time-dependent moment about an axis normal to the contact surfaces. Friction joints of this type constitute a well-defined source of damping in vibrating structures. The joint is analyzed theoretically by means of principles analogous to those used in the Panovko model [1] of the axially loaded lap joint. Complete moment-rotation and energy loss characteristics are obtained. it is shown that the energy dissipated during cyclic loading depends on the peak-to-peak value of the dynamic part of the external moment but is independent of the mean moment. A measure of the efficiency of the joint in dissipating energy is defined, and a comparison drawn between the rotary (moment loaded) joint and linear (axially loaded) lap joints.     

Energy dissipation in high-frequency remagnetization of ferrites

The frequency dependence of magnetic loss in ferrites at various exciting field amplitudes is studied. A model is constructed from which losses due to microeddy currents in hysteresis cyclical magnetization are estimated. Both the level and frequency dependence of losses observed in the vicinity of 100 kHz are explained within the framework of this model.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 6–10, June, 1985.     

垂直振动床中的能量传递与耗散

本文采用数值方法分析了一维垂直振动床内颗粒动能/温度、能量耗散以及体积分数的分布规律.离散元模拟结果表明:当床底做低频、小振幅振动时,床层内颗粒整体随床底上下运动,沿床高方向颗粒动能逐渐增加;对于高频振动,床层内的颗粒做无规则的运动,沿床高方向颗粒动能逐渐降低.在不同振动频率(高频、低频)下体积分数、能量耗散也表现出不同的分布规律.将离散元模拟结果与动力学理论计算值对比,当系统做高频振动时,两模型所得结果基本吻合;而对于低频、小振幅振动,所得结果存在较大差异.由于低频、小振幅振动时床内颗粒并非做无规则运动,动力学理论的适用性需进一步完善.     

Existence and stability of propagating fronts for an autocatalytic reaction-diffusion system

We study a one-dimensional reaction-diffusion system which describes an isothermal autocatalytic chemical reaction involving both a quadratic (A + B → 2B) and a cubic (A + 2B → 3B) autocatalysis. The parameters of this system are in the ratio D = D_B/D_A of the diffusion constants of the reactant A and the autocatalyst B, and the relative activity k of the cubic reaction. First, for all values of D > 0 and k ≥ 0, we prove the existence of a family of propagating fronts (or travelling waves) describing the advance of the reaction. In particular, in the quadratic case k = 0, we recover the results of Billingham and Needham [Phil. Trans. R. Soc. London A 334 (1991) 1–24]. Then, if D is close to 1 and k is sufficiently small, we prove using energy functionals that these propagating fronts are stable against small perturbations in exponentially weighted Sobolev spaces. This extends part of the results that are known for the scalar equation to which our system reduces when D = 1.     

Energy dissipation mechanisms in carbon nanotube oscillators

Energy transfer from the translational degrees of freedom to phonon modes is studied for isolated systems of two coaxial carbon nanotubes, which may serve as a nearly frictionless nano-oscillator. It is found that for oscillators with short nanotubes (less than 30 A) a rocking motion, occurring when the inner tube is pulled about 1/3 out of the outer tube, is responsible for significant phonon energy acquisitions. For oscillators with long nanotubes translational energies are mainly dissipated via a wavy deformation in the outer tube undergoing radial vibrations. Frictional forces between 10(-17) and 10(-14) N per atom are found for various dissipative mechanisms.     

Energy dissipation in light heavy ion reactions

Analysis of the energy dissipation for light heavy ions (¹²C,¹⁴N,¹⁶O,²²Ne) reactions has been attempted. Classical models with or without a friction term and the diffusion model have been compared to the data. Fragmentation and prompt collective excitation have been considered also.     

Energy dissipation of a ring-like metal rubber isolator

Metal rubber （MR） is a kind of homogeneous poroelastic damping material made of metal wire. In this paper, by ana- lyzing the forces on the MR isolator and the MR element, the hysteresis loops of the force and deformation are studied and verified by experiments. The results show that the force and displacement hysteresis loop of the MR isolator is described by the force and deformation hysteresis loops of the MR elements. In addition, the relationship between the energy dissipation coefficient of the MR element and that of the MR isolator is derived. The energy dissipation coefficient is programmed and calculated by MATLAB using experimental data, and the results are compared with the theoretical value. It is the basis for the design and applied research of the MR isolator in a future study.     

Energy dissipation in the deterministic and nondeterministic Nagel-Schreckenberg models

In this paper, we numerically study energy dissipation per unit time per car E_d in the Nagel-Schreckenberg (NS) model. Numerical results show that there is a critical density over which energy dissipation occurs, but below which no energy loss happens in the deterministic NS model. Energy dissipation depends on both the car density and initial configuration in the deterministic case. The energy dissipation rate, E_d, calculated starting from a completely jammed state whose value is minimum, decreases monotonously with the increase of car density above the critical density. In the nondeterministic case, however, there is no critical density and energy dissipation happens in the whole density region, and initial configuration has no effects on energy dissipation. The dissipated energy has two different contributions: one coming from the interactions and another from the braking noise in the stochastic case. The relative contributions of the two dissipation mechanisms are presented. In the free-flow state, E_d is proportional to p(1−p) where p is the stochastic braking probability. In the case of v_max=1,E_d is proportional to the mean density of “go and stop” car per time step ρ_gs, which is equal to n₀(1−n₀) where n₀ is the fraction of stopped car. Theoretical analyses give an excellent agreement with numerical results.