Tootfinder

Quantum master equation for nanoelectromechanical systems beyond the wide-band limit
Sofia Sevitz, Federico Cerisola, Janet Anders
https://arxiv.org/abs/2506.20593

Quantum master equation for nanoelectromechanical systems beyond the wide-band limit
Coupling the vibrations of an oscillator to electronic transport is a key building block for nanoelectromechanical systems. They describe many nanoscale electrical components such as molecular junctions. Inspired by recent experimental developments, we derive a quantum master equation that describes nanoelectromechanical systems in a generally overlooked situation: when the electronic transport is slower than the natural frequency of the oscillator. Here, a semi-classical model is no longer val…

Nonlocal current-driven heat flow in ideal plasmas
Nicholas Mitchell, David Chapman, Grigory Kagan
https://arxiv.org/abs/2507.18430 https://arxiv.org/pdf/2…

Nonlocal current-driven heat flow in ideal plasmas
Electron heat flux is an important and often dominant mechanism of energy transport in a variety of collisional plasmas in a confined fusion or astrophysical context. While nonlocal conductive heat transport, driven by strong temperature gradients, has been investigated extensively in previous literature, nonlocal regimes of the current-driven heat flow and friction have not received the same attention. In this work, a first-principles reduced kinetic method (RKM) is applied to study nonlocal e…

Nonlocal Harnack inequality in a disconnected region
Se-Chan Lee
https://arxiv.org/abs/2508.16103 https://arxiv.org/pdf/2508.16103

Nonlocal Harnack inequality in a disconnected region
We establish a Harnack inequality for weak solutions of nonlocal equations in a disconnected region. The inequality compares the value of a solution on one connected component with its value on another, capturing a purely nonlocal phenomenon with no local analogue. We provide two different approaches: one based on the localized maximum principle and another on the Poisson kernel estimates.

Local d'Alembertian for causal sets
Mari\'an Bogu\~n\'a, Dmitri Krioukov
https://arxiv.org/abs/2506.18745 https://arxiv.o…

Local d'Alembertian for causal sets
Causal set theory is an intrinsically nonlocal approach to quantum gravity, inheriting its nonlocality from Lorentzian nonlocality. This nonlocality causes problems in defining differential operators -- such as the d'Alembert operator, a cornerstone of any relativistic field theory -- within the causal set framework. It has been proposed that d'Alembertians in causal sets must themselves be nonlocal to respect causal set nonlocality. However, we show that such nonlocal d'Alembertians do not con…

AI-assisted prediction of catalytically reactive hotspots in nanoalloys
Jolla Kullgren, Peter Broqvist, Ageo Meier de Andrade, Yunqi Shao, Seungchul Kim, Kwang-Ryeol Lee
https://arxiv.org/abs/2506.19386

AI-assisted prediction of catalytically reactive hotspots in nanoalloys
Nanoalloys offer a unique opportunity to tailor chemical properties through changes in composition, shape, and size. However, this flexibility introduces complexity that challenges both experimental and conventional theoretical methods. In this work, we present an AI-assisted framework for predicting reactive hotspots in nanoalloys. First, we use a Metropolis Monte Carlo method with a lattice-based machine learning potential, trained on 2NN-MEAM data, to rapidly identify thermodynamically stabl…

Quantum nonlocality without entanglement and state discrimination measures
Shayeef Murshid, Tathagata Gupta, Vincent Russo, Somshubhro Bandyopadhyay
https://arxiv.org/abs/2506.20560

Quantum nonlocality without entanglement and state discrimination measures
An ensemble of product states is said to exhibit "quantum nonlocality without entanglement" if the states cannot be optimally discriminated by local operations and classical communication (LOCC). We show that this property can depend on the measure of state discrimination. We present a family of ensembles, each consisting of six linearly independent, equally probable product states for which LOCC fails to achieve optimal minimum-error discrimination but succeeds in achieving optimal unambiguous…

A Nonlinear Nonlocal Problem for the Caputo Fractional Subdiffusion Equation
Ravshan Ashurov, Rajapboy Saparboyev, Navbahor Nuraliyeva
https://arxiv.org/abs/2506.19516

A Nonlinear Nonlocal Problem for the Caputo Fractional Subdiffusion Equation
In this paper, we study a time-fractional subdiffusion equation with a nonlinear nonlocal initial condition involving the unknown solution at the final time. The considered problem is formulated using the Caputo fractional derivative of order \(0 < α< 1\), along with homogeneous Dirichlet boundary conditions. The nonlocal initial condition is of the form \( u(x,0) = g(x, u(x,T)) \), where \(g\) is a nonlinear function satisfying a Lipschitz condition. The main challenge arises from the implici…

Gamma-convergence of nonlocal energies for partitions
Thomas Gabard, Vincent Millot
https://arxiv.org/abs/2506.20215 https://arxiv.or…

Gamma-convergence of nonlocal energies for partitions
We prove that certain nonlocal functionals defined on partitions made of measurable sets Gamma-converge to a local functional modeled on the perimeter in the sense of De Giorgi. Those nonlocal functionals involve generalized surface tension coefficients, and are lower semicontinuous even if the coefficients do not satisfy the triangular inequality. It implies a relaxation process in the limit, and provides a novel effect compare to the known gamma-convergence of the fractional perimeter towards…

Weighted nonlocal area functionals without the triangle inequality
Serena Dipierro, Enrico Valdinoci, Mary Vaughan
https://arxiv.org/abs/2506.19048 https:/…

Weighted nonlocal area functionals without the triangle inequality
We consider a weighted nonlocal area functional in which the coefficients do not satisfy the triangle inequality. In the context of three phase transitions, this means that one of the weights is larger than the sum of the other two, say $$σ_{-1,1} > σ_{-1,0} + σ_{0,1}.$$ We show that the energy can be reduced by covering interfaces between phases $-1$ and $1$ with a thin strip of phase $0$. Moreover, as the fractional parameter $s\nearrow1$, we prove that the nonlocal energies $Γ$-converg…

Fractional multi-phase transitions and nonlocal minimal partitions
Thomas Gabard, Vincent Millot
https://arxiv.org/abs/2506.20226 https://

Fractional multi-phase transitions and nonlocal minimal partitions
This article is devoted to the study of certain models for phase transitions involving nonlocal energies. A first part is concerned with to the asymptotic analysis of a system of fractional elliptic equations of Allen-Cahn type as a characteristic small parameter tends to zero. It is shown that solutions converge to critical points of a nonlocal geometric energy defined over a class of partitions of the domain. A regularity analysis for solutions of the geometric problem is also performed, in t…