通过随机重置以脂肪尾时间分布进行拉切
Jianli Liu1, Yunyun Li1, Pulak K Ghosh2
1IMOE Key Laboratory of Advanced Mico-Structured Materials and Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering, Tongji University, Shanghai, 200092, China.
概括
随机重置与脂肪尾分布可以使布朗粒子纠正在子潜力. 最佳漂移发生在有限的,大的平均重置时间,导致超扩散运动.
科学领域:
- 统计物理学的统计物理.
- 非平衡的系统是不平衡的.
- 复杂的系统复杂的系统.
背景情况:
- 布朗运动描述了随机粒子运动.
- 子潜能从随机波动中产生定向运动.
- 随机重置引入了粒子轨迹的周期性重置.
研究的目的:
- 在拉切特潜力中研究布朗粒子漂移.
- 分析随机重置与脂肪尾分布的影响.
- 确定纠正和异常扩散的条件.
主要方法:
- 粒子动力学的数值模拟.
- 对随机过程的分析处理.
- 分析帕雷托分布式重置时间,变化尾部指数β.
主要成果:
- 对于β>2观察到纠正,即使有无限的平均重置时间.
- 对于β<2的纠正被抑制.
- 漂移速度最大化为β略高于1 (有限,大平均重置时间).
- 观察到从正常扩散到超扩散扩散的过渡.
结论:
- 脂肪尾重置分布显著改变了布朗粒子在杆电位中的行为.
- 最佳漂移和超扩散与重置时间分布的尾部属性有关.
- 该研究强调了在非平衡系统中重置时间统计的重要性.
相关概念视频
Basic Discrete Time Signals
202
The unit step sequence is defined as 1 for zero and positive values of the integer n. This sequence can be graphically displayed using a set of eight sample points, showing a step function starting from n=0 and remaining constant thereafter.
The unit impulse or sample sequence is mathematically expressed as zero for all n values except at n=0, where it is one. The unit impulse sequence, denoted by δ(n), is the first difference of the unit step sequence, while the unit step sequence u(n) is...
The unit impulse or sample sequence is mathematically expressed as zero for all n values except at n=0, where it is one. The unit impulse sequence, denoted by δ(n), is the first difference of the unit step sequence, while the unit step sequence u(n) is...
202
Muscle Stimulation Frequency
2.1K
The contraction strength of muscles is regulated by motor neurons, which modulate the frequency of action potentials dispatched to the motor units based on the body's requirements. This process of varying the muscle stimulation frequency allows muscles to contract with a force that is precisely tailored to the needs of the moment, whether lifting a feather or a heavy box.
Wave summation
At low firing rates, motor neurons induce individual twitch contractions in muscle fibers. These twitches...
Wave summation
At low firing rates, motor neurons induce individual twitch contractions in muscle fibers. These twitches...
2.1K
Bootstrapping
593
The term "bootstrap" originated in the 19th century as a metaphor for self-improvement or achieving something independently, without external assistance. This concept extends to statistical bootstrapping, a self-contained method for estimating population parameters through resampling, even though it can be computationally intensive. Developed by the American statistician Dr. Bradley Efron in 1979, bootstrapping provides a robust way to perform inference when the original sample size is...
593
Sampling Continuous Time Signal
223
In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
In the...
223
Basic Continuous Time Signals
197
Basic continuous-time signals include the unit step function, unit impulse function, and unit ramp function, collectively referred to as singularity functions. Singularity functions are characterized by discontinuities or discontinuous derivatives.
The unit step function, denoted u(t), is zero for negative time values and one for positive time values, exhibiting a discontinuity at t=0. This function often represents abrupt changes, such as the step voltage introduced when turning a car's...
The unit step function, denoted u(t), is zero for negative time values and one for positive time values, exhibiting a discontinuity at t=0. This function often represents abrupt changes, such as the step voltage introduced when turning a car's...
197
Reinforcement Schedules
139
Positive reinforcement is a powerful method for teaching new behaviors to both animals and humans. B.F. Skinner demonstrated this with his experiments using rats in a Skinner box. When a rat pressed a lever, it received a food pellet. This immediate reward encouraged the rat to repeat the behavior. This method, where a reward follows every instance of the behavior, is known as continuous reinforcement. It is highly effective for establishing new behaviors quickly.
Once a behavior is learned,...
Once a behavior is learned,...
139


