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This paper presents the coupled model of a hydraulic fracturing and proppant transport. The former is described in terms of enhanced pseudo-3D model that considers height growth across two symmetric stress barriers, while the latter is…

Applying the AdS/CFT correspondence, the expansion of the heavy-quark potential of the ${\cal N}$ supersymmetric Yang-Mills theory at large $N_c$ is carried out to the sub-leading term in the large 't Hooft coupling at nonzero temperatures.…

High Energy Physics - Phenomenology · Physics 2015-03-19 Zi-qiang Zhang , Defu Hou , Hai-cang Ren , Lei Yin

Ionic fluids under conductive confinement are central to technologies such as batteries, supercapacitors, and fuel cells. Their interfacial behavior governs energy storage and electrochemical processes. Despite their importance, the…

Soft Condensed Matter · Physics 2025-12-02 Philipp Stärk , Alexander Schlaich

Supercooled liquids are characterized by relaxation times that increase dramatically by cooling or compression. Many liquids have been shown to obey power-law density scaling, according to which the relaxation time is a function of density…

Soft Condensed Matter · Physics 2012-12-19 Lasse Bøhling , Trond S. Ingebrigtsen , A. Grzybowski , M. Paluch , Jeppe C. Dyre , Thomas B. Schrøder

We derive a self-consistent hydrodynamic theory of coupled binary-fluid-surfactant systems from the underlying microscopic physics using Rayleigh's variational principle. At the microscopic level, surfactant molecules are modelled as…

Soft Condensed Matter · Physics 2026-02-25 Alexandra J. Hardy , Samuel Cameron , Steven McDonald , Abdallah Daddi-Moussa-Ider , Elsen Tjhung

From the perspective of asymptotic stability at high Reynolds numbers, Taylor-Couette flow, as a typical rotating shear flow, exhibits rich decay behaviors. Previously, for the extensively studied Couette flow or the Taylor-Couette flow in…

Analysis of PDEs · Mathematics 2025-01-27 Te Li , Ping Zhang , Yibin Zhang

We prove universality of a macroscopic behavior of solutions of a large class of semi-linear parabolic SPDEs on $\mathbb{R}_+\times\mathbb{T}$ with fractional Laplacian $(-\Delta)^{\sigma/2}$, additive noise and polynomial non-linearity,…

Probability · Mathematics 2025-03-19 Paweł Duch

In this study, we reveal the difference between Woods-Saxon (WS) and Generalized Symmetric Woods-Saxon (GSWS) potentials in order to describe the physical properties of a nucleon, by means of solving Schr\"odinger eq. for the two…

Nuclear Theory · Physics 2018-01-16 B. C. Lütfüoğlu

The paper discusses a variant of the local similarity theory, employing the second moment of vertical velocity and the "spectral" Prandtl mixing length as basic parameters. This approach allows expressing the turbulent exchange coefficient,…

Atmospheric and Oceanic Physics · Physics 2024-12-10 A. N. Vulfson , P. V. Nikolaev

Normalizing flows have recently been applied to the problem of accelerating Markov chains in lattice field theory. We propose a generalization of normalizing flows that allows them to applied to theories with a sign problem. These complex…

High Energy Physics - Lattice · Physics 2022-05-26 Scott Lawrence , Yukari Yamauchi

We consider a fermionic system for which there exist a single-reference configuration-interaction (CI) expansion of the ground state wave function that converges, albeit not necessarily rapidly, with respect to excitation number. We show…

Strongly Correlated Electrons · Physics 2020-01-13 Dominic Bergeron

The paper presents a mean field theory of electrolyte solutions, extending the classical Debye-H\"{u}ckel-Onsager theory to provide a detailed description of the electrical conductivity in strong electrolyte solutions. The theory…

Soft Condensed Matter · Physics 2024-09-27 N. N. Kalikin , Yu. A. Budkov

A generalized dispersion equation is derived featuring coupled mode theory, parity-time symmetry, and leaky wave antennas of arbitrary periodic modulation. It can be specialized to each of these cases individually or can describe a…

Optics · Physics 2024-08-07 Afshin Abbaszadeh , Jordan Budhu

Renormalized coupling constants g_{2k} that enter the critical equation of state and determine nonlinear susceptibilities of the system possess universal values g*_{2k} at the Curie point. They are calculated, along with the ratios R_{2k} =…

High Energy Physics - Theory · Physics 2017-04-06 M. A. Nikitina , A. I. Sokolov

We propose a general procedure for evaluating, directly from microphysics, the constitutive relations of heat-conducting fluids in regimes of large fluxes of heat. Our choice of hydrodynamic formalism is Carter's two-fluid theory, which…

Nuclear Theory · Physics 2024-02-09 Lorenzo Gavassino

We study Andreev reflection in a one-dimensional square-well pair-potential. We discuss the history of the model. The current-phase relation is presented as a sum over Matsubara frequencies. How the current arises from bound and continuum…

Superconductivity · Physics 2024-10-21 Erkki Thuneberg

We investigate the conductance spectra of a normal/superconductor graphene junction using the extended Blonder-Tinkham-Klapwijk formalism, considering pairing potentials that are both conventional (isotropic s-wave) and unconventional…

Superconductivity · Physics 2009-11-13 Jacob Linder , Asle Sudbø

The performance of flow matching and diffusion models can be greatly improved at inference time using reward alignment algorithms, yet efficiency remains a major limitation. While several algorithms were proposed, we demonstrate that a…

Machine Learning · Computer Science 2026-02-12 Peter Holderrieth , Uriel Singer , Tommi Jaakkola , Ricky T. Q. Chen , Yaron Lipman , Brian Karrer

I propose a new version of the Hierarchical Reference Theory of liquids. Two formalisms, one in the grand canonical ensemble, the other in the framework of statistical field theory are given in parallel. In the latter the theory is an…

Statistical Mechanics · Physics 2015-05-28 Jean-Michel Caillol

Due to the simultaneous presence of bulk-like and interfacial fluctuations the understanding of the structure of liquid-vapour interfaces poses a long-lasting and ongoing challenge for experiments, theory, and simulations. We provide a new…

Statistical Mechanics · Physics 2015-02-24 F. Höfling , S. Dietrich