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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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Crosslisted article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[2/2]:
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https://arxiv.org/abs/2606.12089 https://mastoxiv.page/@arXiv_condmatdisnn_bot/116730365150426280
- Fabricating fiber cavity mirror substrates compatible with high coupling efficiency
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https://arxiv.org/abs/2606.12168 https://mastoxiv.page/@arXiv_physicsoptics_bot/116730475059016236
- Experimental straintronics in nanotube quantum dots
L. Huang, I. G. Rebollo, A. R. Champagne
https://arxiv.org/abs/2606.12180 https://mastoxiv.page/@arXiv_condmatmeshall_bot/116730486068512684
- A post-selected quantum model of cosmic acceleration
Dimitris Lionas, Charis Anastopoulos, Konstantinos Gourgouliatos
https://arxiv.org/abs/2606.12297 https://mastoxiv.page/@arXiv_grqc_bot/116730477222156474
- Entanglement generation between field modes mediated by a fluctuating conducting wall
Luca Giovanni Cammarata, Tommaso Fazio, Roberto Passante, Lucia Rizzuto
https://arxiv.org/abs/2606.12338 https://mastoxiv.page/@arXiv_hepth_bot/116730465816996578
- Gate-tunable spin-valley transport via carrier velocity in monolayer WSe$_2$
Otman Bouladiane, Hocine Bahlouli, Clarence Cortes, David Laroze, Ahmed Jellal
https://arxiv.org/abs/2606.12353 https://mastoxiv.page/@arXiv_condmatmeshall_bot/116730497275361456
- Collective neutrino oscillations: Many-body non-forward effects and non-classicality
Julien Froustey, Ermal Rrapaj, Yuhao Liu, Gushu Li, Costin Iancu, Vincenzo Cirigliano
https://arxiv.org/abs/2606.12404 https://mastoxiv.page/@arXiv_hepph_bot/116730481154065938
- A Pfaffian quantum Hall state of ultracold bosons
Kwan, Segura, Li, Blatz, Zhi, Bakkali-Hassani, Bohrdt, Greiter, Grusdt, Greiner
https://arxiv.org/abs/2606.12409 https://mastoxiv.page/@arXiv_condmatquantgas_bot/116730427900388710
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