A discrete Boltzmann model with state-dependent power-law relaxation time for nonequilibrium transport in compressible flows
Demei Li, Zhongyi He, Huilin Lai, Yanbiao Gan, Hailong Liu, Pengfei Lin
https://arxiv.org/abs/2605.18216 https://arxiv.org/pdf/2605.18216 https://arxiv.org/html/2605.18216
arXiv:2605.18216v1 Announce Type: new
Abstract: Thermodynamic nonequilibrium effects play a central role in momentum and energy transport in compressible flows. In conventional BGK kinetic models, the relaxation time $\tau$ is taken as a constant, which neglects the dependence of the relaxation process on local macroscopic states. To overcome this limitation, we develop a discrete Boltzmann model with a density- and temperature-dependent power-law relaxation time, termed DTRT-DBM, in which $\tau=\tau_0(\rho/\rho_0)^a(T/T_0)^b$. This formulation extends the discrete Boltzmann framework to flows with spatially varying nonequilibrium intensity. The model is validated by the Sod shock tube and by analytical solutions for viscous stress and heat flux, demonstrating accurate recovery of both macroscopic wave structures and nonequilibrium quantities across shock waves, rarefaction waves, and contact discontinuities. On this basis, phase diagrams of viscous stress and heat flux are constructed to examine how these quantities depend on the power-law exponents $a$ and $b$. The extrema of these quantities depend exponentially on the model parameters and exhibit regime-dependent behaviour. The roles of $a$ and $b$ are not symmetric: the nonequilibrium response is more sensitive to $a$ when density gradients dominate, but more sensitive to $b$ when temperature gradients dominate. Within the parameter range and flow configurations examined here, higher-order viscous stress increases the growth rate of the total viscous-stress extremum, whereas higher-order heat flux reduces the growth rate of the total heat-flux extremum. These results show that the proposed model can capture different higher-order nonequilibrium responses in compressible flows and provides a framework for the modelling and analysis of multiscale nonequilibrium processes.
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Iranians Feel the Pain as Their Economy Descends Into a Death Spiral (Wall Street Journal)
https://www.wsj.com/world/middle-east/iranians-feel-the-pain-as-their-economy-descends-into-a-death-spiral-47dba669?st=3nEQei
http://www.memeorandum.com/260429/p104#a260429p104
"The council says exports to Canada fell 63 per cent last year. "It has been devastating," said Swonger.”
They didn't think to ask him if he voted for Trump in the last election?
And to think some Democratic and 'NeverTrump' (haha) Republicans believe AOC running for President would lead to a Republican win.
The same Republican party that has decimated the American liquor industry, destroyed American leadership in the world, and cratered the economy.
2028 Presidential Election:
No Liquor Industry Neo-Facist Theocracy
or
Black Progressive Woman Democracy
Hard choice, amIRite, America?
But oh ya, I'm not being “realistic” 🤯
#FAFO #TheAmericanFascist #USA
https://www.cbc.ca/news/canada/nova-scotia/american-alcohol-boycotts-bans-canada-trade-war-nslc-nova-scotia-9.7194289?cmp=rss
"The Economist reported on Tuesday that unlucky chairman Kevin Warsh "has seen his case for lower interest rates disintegrate.""
Trump's new Fed chair could send him into a rage - Alternet.org
https://www.alternet.org/trump-interest-rates-warsh/
Internal documents: Chinese company Geedge is working to build AI tools to predict those who could pose a political risk, but US chip controls hampered its work (Julian E. Barnes/New York Times)
https://www.nytimes.com/2026/06…
Decent overview of why people will say "Britain's infrastructure is state owned, just not by the British state".
There's so much anger over the energy situation in the UK, and the right wing press has, to some extent, managed to channel it into resentment against "green policies" rather than economic policy.
This is the same exclusionary language used re: same-sex marriage, that it somehow damaged the institut0n..."it's not just about the dignity of the immigrant, it's about the dignity of the native born."" Immigrants do not impugn my dignity in the least - my family's immigrants all the way down
Onlookers astonished by JD Vance's latest attempt to dunk on Pope Leo: 'Excommunicate him' - Raw Story
https://www.rawstory.com/pope-leo-jd-vance/
Others have commented on his giving up on 'net zero' on this record breaking hottest day.
His AI companies need more power than we can generate from wind and solar you see. So they are going to want to burn the world and he's sure they must be right to do that because the UK is only smol and can't lead.
He is worried China might carry on burning coal even if we stop. Even though of course China is the country building the panels for everyone else to electrify.
China ain't the problem mate.
Decentralizing control over power: Economic, social, monetary, military, fashionably. All of it. That's the key.
Not key is having your country subsidize dirty centralized power generation because your AI buddies want a new data center.