We present a formulation of the single-trajectory entropy using the trajectories ensemble. The single-trajectory entropy is affected by its surrounding trajectories via the distribution function. The single-trajectory...We present a formulation of the single-trajectory entropy using the trajectories ensemble. The single-trajectory entropy is affected by its surrounding trajectories via the distribution function. The single-trajectory entropies are studied in two typical potentials, i.e., harmonic potential and double-well potential, and in viscous environment by interacting trajectory method. The results of the trajectory methods are in agreement well with the numerical methods(Monte Carlo simulation and difference equation). The single-trajectory entropies increasing(decreasing) could be caused by absorption(emission) heat from(to) the thermal environment. Also, some interesting trajectories, which correspond to the rare evens in the processes, are demonstrated.展开更多
边缘计算有效缓解了云平台的计算压力,降低网络带宽消耗,但也带来了新的安全问题,传统的认证机制不再适用于“云边端”网络架构,对此提出一种轻量级云边协同的双向身份认证协议,针对海量资源受限的电力终端,仅基于哈希与异或操作实现认...边缘计算有效缓解了云平台的计算压力,降低网络带宽消耗,但也带来了新的安全问题,传统的认证机制不再适用于“云边端”网络架构,对此提出一种轻量级云边协同的双向身份认证协议,针对海量资源受限的电力终端,仅基于哈希与异或操作实现认证,减轻终端计算压力与带宽传输压力。利用安全协议与应用自动化验证工具(automated validation of internet security protocols and applications,AVISPA)以及安全特性分析验证协议的安全性,分析和仿真结果表明:所提协议可以抵抗重放攻击和仿冒攻击等,与同类型协议相比,具有更小的计算和通信开销。展开更多
基金supported by the National Natural Science Foundation of China (Grant No. 12234013)the Natural Science Foundation of Shandong Province (Grant No. ZR2021LLZ009)。
文摘We present a formulation of the single-trajectory entropy using the trajectories ensemble. The single-trajectory entropy is affected by its surrounding trajectories via the distribution function. The single-trajectory entropies are studied in two typical potentials, i.e., harmonic potential and double-well potential, and in viscous environment by interacting trajectory method. The results of the trajectory methods are in agreement well with the numerical methods(Monte Carlo simulation and difference equation). The single-trajectory entropies increasing(decreasing) could be caused by absorption(emission) heat from(to) the thermal environment. Also, some interesting trajectories, which correspond to the rare evens in the processes, are demonstrated.
文摘边缘计算有效缓解了云平台的计算压力,降低网络带宽消耗,但也带来了新的安全问题,传统的认证机制不再适用于“云边端”网络架构,对此提出一种轻量级云边协同的双向身份认证协议,针对海量资源受限的电力终端,仅基于哈希与异或操作实现认证,减轻终端计算压力与带宽传输压力。利用安全协议与应用自动化验证工具(automated validation of internet security protocols and applications,AVISPA)以及安全特性分析验证协议的安全性,分析和仿真结果表明:所提协议可以抵抗重放攻击和仿冒攻击等,与同类型协议相比,具有更小的计算和通信开销。