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Behind the mirror: the hidden dissipative singular solutions of ideal reversible fluids on log-lattices
Guillaume Costa, Amaury Barral, Adrien Lopez, Quentin Pikeroen, B\'ereng\`ere Dubrulle
https://arxiv.org/abs/2508.10659

Behind the mirror: the hidden dissipative singular solutions of ideal reversible fluids on log-lattices
Empirical observations show that turbulence exhibits a broad range of scaling exponents, characterizing how the velocity gradients diverge in the inviscid limit. These exponents are thought to be linked to singular solutions of the Euler equations. In this work, we propose a dynamic approach to construct concept of these solutions directly from the fluid equations, using a reversible framework and introducing the efficiency $\cal{E}$, a non-dimensional number that quantifies the amount of energ…

The Glider Equation for Asymptotic Lenia
Hiroki Kojima, Ivan Yevenko, Takashi Ikegami
https://arxiv.org/abs/2508.04167 https://arxiv.org/pdf/2508.04167

Gradient of the Adiabatic Gauge Potential in Classical Systems
Nathan Rose, Nachiket Karve, David K. Campbell
https://arxiv.org/abs/2508.03804 https://arxi…

Gradient of the Adiabatic Gauge Potential in Classical Systems
The adiabatic gauge potential (AGP) is the generator of unitary transformations which preserve the eigenbasis of a quantum Hamiltonian under parametric variation. While its usefulness in quantum mechanics has been thoroughly demonstrated in recent years, less attention has been given to its behavior in classical systems, where the AGP is a phase space function and its gradient defines special canonical transformations. In this paper we propose an efficient method to compute the gradient of the …