Grand-Canonical Optimal Transport

被引：0
|
作者：
Di Marino, Simone [1 ]
Lewin, Mathieu [2 ,3 ]
Nenna, Luca [4 ]
机构：
[1] Univ Genoa, DIMA, MaLGa, Via Dodecaneso 35, I-16146 Genoa, Italy
[2] PSL Univ, CNRS, F-75016 Paris, France
[3] PSL Univ, Univ Paris Dauphine, CEREMADE, F-75016 Paris, France
[4] Univ Paris Saclay, CNRS, Lab Math Orsay, Inria Saclay,ParMA, F-91405 Orsay, France
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2025年 / 249卷 / 01期
基金：
欧洲研究理事会;
关键词：
MULTIMARGINAL OPTIMAL TRANSPORT; DENSITY-FUNCTIONAL THEORY; HELLINGER-KANTOROVICH DISTANCE; STRICTLY CORRELATED ELECTRONS; EXPLICIT MARTINGALE VERSION; STATISTICAL-MECHANICS; CLASSICAL FLUIDS; COULOMB; INFORMATION; IONIZATION;
D O I：
10.1007/s00205-024-02080-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a generalization of the multi-marginal optimal transport problem, which has no fixed number of marginals N and is inspired of statistical mechanics. It consists in optimizing a linear combination of the costs for all the possible N's, while fixing a certain linear combination of the corresponding marginals.
引用
收藏
页数：66
相关论文
共 50 条
  • [41] The grand-canonical asymmetric exclusion process and the one-transit walk
    Blythe, RA
    Janke, W
    Johnston, DA
    Kenna, R
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2004,
  • [42] Grand-Canonical First Principles-Based Calculations of Electrochemical Reactions
    Jinnouchi, Ryosuke
    JOURNAL OF THE ELECTROCHEMICAL SOCIETY, 2024, 171 (09)
  • [43] A nonequilibrium statistical grand-canonical ensemble: Description in terms of flux operators
    Madureira, JR
    Vasconcellos, AR
    Luzzi, R
    JOURNAL OF CHEMICAL PHYSICS, 1998, 109 (06): : 2099 - 2110
  • [44] A NEW ALGORITHM FOR MOLECULAR-DYNAMICS SIMULATIONS IN THE GRAND-CANONICAL ENSEMBLE
    VEGA, LF
    SHING, KS
    RULL, LF
    MOLECULAR PHYSICS, 1994, 82 (03) : 439 - 453
  • [45] SIMULATED QUENCHING TO THE ZERO-TEMPERATURE LIMIT OF THE GRAND-CANONICAL ENSEMBLE
    PHILLPOT, SR
    RICKMAN, JM
    JOURNAL OF CHEMICAL PHYSICS, 1992, 97 (04): : 2651 - 2658
  • [46] Schwarzites for Natural Gas Storage: A Grand-Canonical Monte Carlo Study
    Daiane Damasceno Borges
    Douglas S. Galvao
    MRS Advances, 2018, 3 (1-2) : 115 - 120
  • [47] GRAND-CANONICAL GIBBS DISTRIBUTION IN CLASSIC STATISTICAL PHYSICS - A NUMERICAL APPLICATION
    AMADESI, S
    VERDECCHIA, M
    ALIMANDI, G
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1992, 107 (10): : 1193 - 1197
  • [48] THE GRAND-CANONICAL ENSEMBLE MONTE-CARLO SIMULATION OF NITROGEN ON GRAPHITE
    BOTTANI, EJ
    BAKAEV, VA
    LANGMUIR, 1994, 10 (05) : 1550 - 1555
  • [49] The HSAB principle from a finite-temperature grand-canonical perspective
    Ramón Alain Miranda-Quintana
    Taewon David Kim
    Carlos Cárdenas
    Paul W. Ayers
    Theoretical Chemistry Accounts, 2017, 136
  • [50] Grand-Canonical Adaptive Resolution Centroid Molecular Dynamics: Implementation and application
    Agarwal, Animesh
    Delle Site, Luigi
    COMPUTER PHYSICS COMMUNICATIONS, 2016, 206 : 26 - 34
12345