Multi-multifractality and dynamic scaling in stochastic porous lattice

Modern day cloud native applications have become broadly representative of distributed systems in the wild. However, unlike traditional distributed system models with conceptually static designs, cloud-native systems emphasize dynamic scaling and on-line iteration (CI/CD). Cloud-native systems tend to be architected around a networked collection of distinct programs ("microservices") that can be added, removed, and updated in real-time. Typically, distinct containerized programs constitute individual microservices that then communicate among the larger distributed application through heavy-weight protocols. Common communication stacks exchange JSON or XML objects over HTTP, via TCP/TLS, and incur significant overhead, particularly when using small size message sizes. Additionally, interpreted/JIT/VM-based languages such as Javascript (NodeJS/Deno), Java, and Python are dominant in modern microservice programs. These language technologies, along with the high-overhead messaging, can impose superlinear cost increases (hardware demands) on scale-out, particularly towards hyperscale and/or with latency-sensitive workloads.

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Stellar Flares: Observations and Theory

International Astronomical Union Colloquium ◽

10.1017/s0252921100153783 ◽

1989 ◽

Vol 104 (2) ◽

pp. 49-52

Author(s):

Suzanne L. Hawley

Keyword(s):

Scaling Law ◽

Dynamic Scaling ◽

X Ray ◽

Temperature Distributions ◽

Photometric And Spectroscopic Observations ◽

Stellar Flares ◽

Consistent Model ◽

Self Consistent ◽

Flare Model ◽

Large Flare

AbstractPhotometric and spectroscopic observations of a very large flare on AD Leo are presented. A self consistent model of a flare corona, transition region and chromosphere is developed; in particular the chromospheric temperature distributions resulting from X-ray and EUV irradiation by coronae of various temperatures are determined. The predicted line fluxes in Hγ are compared to the observed line fluxes to find the coronal temperature as a function of time during the flare. This run of temperature with time is then compared with the predictions of an independent theoretical flare model based on a dynamic scaling law (see paper by Fisher and Hawley, these proceedings).

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A NEW APPROACH TO DYNAMIC FINITE-SIZE SCALING

International Journal of Modern Physics C ◽

10.1142/s012918310300508x ◽

2003 ◽

Vol 14 (07) ◽

pp. 945-954 ◽

Cited By ~ 1

Author(s):

MEHMET DİLAVER ◽

SEMRA GÜNDÜÇ ◽

MERAL AYDIN ◽

YİĞİT GÜNDÜÇ

Keyword(s):

Three Dimensional ◽

Finite Size ◽

Taylor Series Expansion ◽

Scaling Behavior ◽

Dynamic Scaling ◽

Finite Size Scaling ◽

New Approach ◽

Size Scaling ◽

Dynamic Exponent ◽

Good Agreement

In this work we have considered the Taylor series expansion of the dynamic scaling relation of the magnetization with respect to small initial magnetization values in order to study the dynamic scaling behavior of two- and three-dimensional Ising models. We have used the literature values of the critical exponents and of the new dynamic exponent x0 to observe the dynamic finite-size scaling behavior of the time evolution of the magnetization during early stages of the Monte Carlo simulation. For the three-dimensional Ising model we have also presented that this method opens the possibility of calculating z and x0 separately. Our results show good agreement with the literature values. Measurements done on lattices with different sizes seem to give very good scaling.

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