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Equation 5 · Part 1 · Comparing the Main Approaches to Chiplets and Advanced Packaging

Symbol Δ T_j

ΔTj  =  P∑i=1NRth,i,\Delta T_j \;=\; P \sum_{i=1}^{N} R_{\mathrm{th},i},
ΔTj\Delta T_j

What this part means

Δ TjT_j is part of the quantity the equation computes from the expression on the right.

Its job in the formula

Δ TjT_j is part of the quantity the equation computes from the expression on the right.

The passage around this formula

The bill for that proximity arrives as heat, and it arrives in a specific, structural way rather than as a vague “3D runs hotter” intuition. A stack has exactly one face in contact with the package’s heat-removal path — typically the topmost die, under a lid or heat spreader — so the temperature rise at a given tier depends on everything the heat has to cross to reach that face: ΔTj  =  P∑i=1NRth,i\Delta T_j \;=\; P \sum_{i=1}^{N} R_{\mathrm{th},i}. where P is the power dissipated at that tier and each Rth,iR_{\mathrm{th},i} is the thermal resistance of one layer already between that tier and the heat sink — die bulk, bonding interface, or an intervening active tier. A tier two layers from the heat-removal face inherits the resistance of…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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