Models of fragmentation with power law log-normal distributions
نویسندگان
چکیده
منابع مشابه
Models of fragmentation with power law log-normal distributions
Two models of binary fragmentation are introduced in which a time dependent transition size produces two regions of fragment sizes above and below the transition size. In the models we consider a fixed rate of fragmentation for the largest fragment and two different rates of fragmentation for the two regions of sizes above and below the transition size. The models are solved exactly in the long...
متن کاملExplanation of Log-Normal Distributions and Power-Law Distributions in Biology and Social Science
In many biological and social systems, where the ideal of heritance and aberrance exist at the same time, normal distribution failed in describing the distributions of variables. In stead, many real data as well as simulations indicate that log-normal distribution and power-law distribution can characterize many properties of this kind of systems. In this paper, the failure of normal distributi...
متن کاملSampling power-law distributions
Power-law distributions describe many phenomena related to rock fracture. Data collected to measure the parameters of such distributions only represent samples from some underlying population. Without proper consideration of the scale and size limitations of such data, estimates of the population parameters, particularly the exponent D, are likely to be biased. A Monte Carlo simulation of the s...
متن کاملPower-law correlated processes with asymmetric distributions.
Motivated by the fact that many physical systems display (i) power-law correlations together with (ii) an asymmetry in the probability distribution, we propose a stochastic process that can model both properties. The process depends on only two parameters, where one controls the scaling exponent of the power-law correlations, and the other controls the degree of asymmetry in the distributions l...
متن کاملModeling response time with power-law distributions
Understanding the properties of response time distributions is a long-standing problem in cognitive science. We provide a tutorial overview of several contemporary models that assume power law scaling is a plausible description of the skewed heavy tails that are typically expressed in response time distributions. We discuss several properties and markers of these distribution functions that hav...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2000
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(00)00213-2