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We study locally conformally homogeneous Lorentzian manifolds of dimension at least $3$, admitting an essential pseudo-group of local conformal transformations. Generalizing a recent result of Alekseevsky and Galaev, we show that any such…

Differential Geometry · Mathematics 2026-02-04 Thomas Leistner , Lilia Mehidi , Abdelghani Zeghib

We simulate a hard-sphere liquid in confined geometry where the separation of the two parallel, hard walls is smaller than two particle diameters. By systematically reducing the wall separation we analyze the behavior of structural and…

Soft Condensed Matter · Physics 2022-08-18 Gerhard Jung , Thomas Franosch

We consider rate-independent models which are defined via two functionals: the time-dependent energy-storage functional $\calI:[0,T]\ti X\to [0,\infty]$ and the dissipation distance $\calD:X\ti X\to[0,\infty]$. A function $z:[0,T]\to X$ is…

Numerical Analysis · Mathematics 2025-10-20 Alexander Mielke

We study conformal blocks (the space of correlation functions) over compact Riemann surfaces associated to vertex operator algebras which are the sum of highest weight modules for the underlying Virasoro algebra. Under the fairly general…

Quantum Algebra · Mathematics 2007-05-23 Toshiyuki Abe , Kiyokazu Nagatomo

Using holographic renormalization, we study correlation functions throughout a renormalization group flow between two-dimensional superconformal field theories. The ultraviolet theory is an N=(4,4) CFT which can be thought of as a symmetric…

High Energy Physics - Theory · Physics 2009-11-07 Marcus Berg , Henning Samtleben

We study the influence of solid boundaries on dynamics and structure of active fluids as the height of the container, $z$, changes. Along the varying dimension, the geometry systematically increases, therefore, the confinement ($z$)…

Soft Condensed Matter · Physics 2021-09-08 Yi Fan , Kun-Ta Wu , Ali Aghvami , Seth Fraden , Kenneth Breuer

Freelance holography program is an extension of gauge/gravity correspondence, where the gravity theory is defined on a portion of AdS with an arbitrary timelike boundary, with any desired boundary conditions. It is also known that…

High Energy Physics - Theory · Physics 2026-01-08 M. M. Sheikh-Jabbari , V. Taghiloo

We study a homogeneously driven granular fluid of hard spheres at intermediate volume fractions and focus on time-delayed correlation functions in the stationary state. Inelastic collisions are modeled by incomplete normal restitution,…

Statistical Mechanics · Physics 2013-05-29 Katharina Vollmayr-Lee , Timo Aspelmeier , Annette Zippelius

A convergent approximation is proposed for a mean field density-density correlation function in a system with a two-phase interface. It is based on a fourth-order expansion of the Hamiltonian in terms of fluctuations around the equilibrium…

Statistical Mechanics · Physics 2009-10-31 Iaroslav Ispolatov

We report the results of an experimental study of a colloid fluid confined to a quasi-one dimensional (q1D) ribbon channel as a function of channel width and colloid density. Our findings confirm the principal predictions of previous…

Correlations of friction factors are presented for the general case of purely viscous non-Newtonian fluids without requiring a priori the adoption of a rheological model. They are based on an empirical estimate of the shift in the wall…

Fluid Dynamics · Physics 2010-09-07 Khanh Tuoc Trinh

We consider a simple dissipative system with spatial structure in contact with a heat bath. The system always exhibits correlations except in the cases of zero and maximal dissipation. We explicitly calculate the correlation function and…

Statistical Mechanics · Physics 2009-11-11 Dana Levanony , Dov Levine

Binary mixtures of hard-spheres with different diameters and square-well attraction between different particles are studied by theory and Monte Carlo simulations. In our mesoscopic theory, local fluctuations of the volume fraction of the…

Soft Condensed Matter · Physics 2021-10-04 O. Patsahan , A. Meyra , A. Ciach

We study the transport properties of a relativistic fluid affected by chiral and gauge-gravitational anomalies. The computation is performed in the framework of the fluid/gravity correspondence for a 5 dim holographic model with…

High Energy Physics - Theory · Physics 2015-06-16 Eugenio Megias , Francisco Pena-Benitez

We explore computationally tractable deformations of the SYK model. The deformed theories are described by the sum of two SYK Hamiltonians with differing numbers, $q$ and $\tilde{q}$, of interacting fermions. In the large $N$ limit,…

High Energy Physics - Theory · Physics 2023-12-14 Dionysios Anninos , Damián A. Galante , Sameer U. Sheorey

The conformal algebra in 2D (Diff($S^{1}$)$\oplus$Diff($S^{1}$)) is shown to be preserved under a nonlinear map that mixes both chiral (holomorphic) generators $T$ and $\bar{T}$. It depends on a single real parameter and it can be regarded…

High Energy Physics - Theory · Physics 2023-01-04 David Tempo , Ricardo Troncoso

A scalar theory can have many Gaussian (free) fixed points, corresponding to Lagrangians of the form $\phi\,\Box^k\phi$. We use the non-perturbative RG to study examples of flows between such fixed points. We show that the anomalous…

High Energy Physics - Theory · Physics 2022-07-22 Diego Buccio , Roberto Percacci

Cooperativity effects have been proposed to explain the non-local rheology in the dynamics of soft jammed systems. Based on the analysis of the free-energy model proposed by L. Bocquet, A. Colin \& A. Ajdari ({\em Phys. Rev. Lett.} {\bf…

Soft Condensed Matter · Physics 2015-10-15 R. Benzi , M. Sbragaglia , M. Bernaschi , S. Succi , F. Toschi

Two-scale models pose a promising approach in simulating reactive flow and transport in evolving porous media. Classically, homogenized flow and transport equations are solved on the macroscopic scale, while effective parameters are…

Analysis of PDEs · Mathematics 2022-02-01 Stephan Gärttner , Peter Knabner , Nadja Ray

A free energy functional for a crystal that contains both the symmetry conserved and symmetry broken parts of the direct pair correlation function has been used to investigate the crystallization of fluids in three-dimensions. The symmetry…

Soft Condensed Matter · Physics 2015-06-15 Atul S. Bharadwaj , Swarn L. Singh , Yashwant Singh