Computation of optimal transport with finite volumes [PDF]
We construct Two-Point Flux Approximation (TPFA) finite volume schemes to solve the quadratic optimal transport problem in its dynamic form, namely the problem originally introduced by Benamou and Brenier. We show numerically that these type of discretizations are prone to form instabilities in their more natural implementation, and we propose a ...
Andrea Natale, Gabriele Todeschi
openaire +5 more sources
Polyakov--Nambu--Jona-Lasinio model in finite volumes [PDF]
We discuss the 2+1 flavor Polyakov loop enhanced Nambu--Jona-Lasinio model in a finite volume. The main objective is to check the volume scaling of thermodynamic observables for various temperatures and chemical potentials.
Bhattacharyya, Abhijit +4 more
core +4 more sources
Ionic fluctuations in finite volumes: fractional noise and hyperuniformity [PDF]
Observing finite regions of a bigger system is a common aim, from microscopy to molecular simulations. In the latter especially, there is ongoing interest in predicting thermodynamic properties from tracking fluctuations in finite observation volumes ...
Thê Hoang Ngoc Minh +2 more
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Kirkwood–Buff integrals: From fluctuations in finite volumes to the thermodynamic limit [PDF]
The Kirkwood-Buff theory is a cornerstone of the statistical mechanics of liquids and solutions. It relates volume integrals over the radial distribution function, so-called Kirkwood-Buff integrals (KBIs), to particle number fluctuations and thereby to ...
Jean-Marc Simon +5 more
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Modeling electron dynamics coupled to continuum states in finite volumes with absorbing boundaries [PDF]
Absorbing boundaries are frequently employed in real-time propagation of the Schrödinger equation to remove spurious reflections and efficiently emulate outgoing boundary conditions.
Umberto De Giovannini +2 more
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Massless sunset diagrams in finite asymmetric volumes [PDF]
A bstractThis paper discusses the methods and the results used in an accompanying paper describing the matching of effective chiral Lagrangians in dimensional and lattice regularizations.
Ferenc Niedermayer, Peter Weisz
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A mortar-type finite element approach for embedding 1D beams into 3D solid volumes [PDF]
In this work we present a novel computational method for embedding arbitrary curved one-dimensional (1D) fibers into three-dimensional (3D) solid volumes, as e.g. in fiber-reinforced materials.
Ivo Steinbrecher +5 more
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On the weak consistency of finite volumes schemes for conservation laws on general meshes [PDF]
The aim of this paper is to develop some tools in order to obtain the weak consistency of (in other words, an analogue of the Lax–Wendroff theorem for) finite volume schemes for balance laws in the multi-dimensional case and under minimal regularity ...
Thierry Gallouët +2 more
semanticscholar +4 more sources
Finite volumes for the Stefan-Maxwell cross-diffusion system [PDF]
The aim of this work is to propose a provably convergent finite volume scheme for the so-called Stefan–Maxwell model, which describes the evolution of the composition of a multi-component mixture and reads as a cross-diffusion system.
C. Cancès +2 more
semanticscholar +1 more source
Ensemble averaged Madelung energies of finite volumes and surfaces [PDF]
Exact expressions for ensemble averaged Madelung energies of finite volumes are derived. The extrapolation to the thermodynamic limit converges unconditionally and can be used as a parameter-free real-space summation method of Madelung constants.
P. Krüger
semanticscholar +1 more source

