Scaling electrical percolation networks based on renormalization group theory (Record no. 54554)

MARC details
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fixed length control field 02085nam a2200253Ia 4500
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control field MX-MdCICY
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control field 20250625162449.0
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Transcribing agency CICY
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Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) B-20462
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Title Scaling electrical percolation networks based on renormalization group theory
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Volume/sequential designation Applied Physics A, 128(8), p.685, 2022
520 3# - SUMMARY, ETC.
Summary, etc. Many natural disordered systems such as percolation metal films may be approximated as fractals. Probing their properties can be difficult depending on the length scale involved. Often, characterizing the system at a convenient length scale and building models for extrapolating the measured data to other length scales is preferred. In such situations, a general algorithm for scaling the model network while preserving its statistical equivalence is required. Here, we provide an algorithm that draws inspiration from renormalization group theory for scaling disordered fractal networks. This algorithm includes three steps: expand, map, and reduce resolution, where the mapping is the only computationally expensive step. We describe a way to minimize the computational burden and accurately scale the model network. We experimentally validate the algorithm in a percolating electrical network formed by an ultra-thin gold film on a glass substrate. By measuring the resistance between many pairs of pads separated by a given length, we accurately predict the mean and standard deviation of the resistance distribution measured across pads separated by twice the original distance. The algorithm presented here is general and may be applied to any disordered fractal system.
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Topical term or geographic name entry element DISORDERED SYSTEM
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element ELECTRICAL CONDUCTION
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Topical term or geographic name entry element ULTRA-THIN METAL FILMS
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Topical term or geographic name entry element PERCOLATION NETWORKS
700 12 - ADDED ENTRY--PERSONAL NAME
Personal name Li, W.
700 12 - ADDED ENTRY--PERSONAL NAME
Personal name He, Y.
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Personal name Yang, K.
700 12 - ADDED ENTRY--PERSONAL NAME
Personal name Naik, G.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://drive.google.com/file/d/1NQ379VL3NoUr-Nwddo8hX0Ryd7C7fX7e/view?usp=drivesdk">https://drive.google.com/file/d/1NQ379VL3NoUr-Nwddo8hX0Ryd7C7fX7e/view?usp=drivesdk</a>
Public note Para ver el documento ingresa a Google con tu cuenta: @cicy.edu.mx
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Source of classification or shelving scheme Clasificación local
Koha item type Documentos solicitados
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Lost status Source of classification or shelving scheme Damaged status Not for loan Collection Home library Current library Shelving location Date acquired Total checkouts Full call number Date last seen Price effective from Koha item type
  Clasificación local     Ref1 CICY CICY Documento préstamo interbibliotecario 25.06.2025   B-20462 25.06.2025 25.06.2025 Documentos solicitados