Limits of discrete systems with long-range interactions

被引：0

作者：

Braides, A ^{[1
]}

Gelli, MS ^{[1
]}

机构：

[1] SISSA, I-34013 Trieste, Italy

来源：

JOURNAL OF CONVEX ANALYSIS | 2002年 / 9卷 / 02期

关键词：

Gamma-limit; thin films; homogenization;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that under some structure and decay hypotheses, limits of discrete systems with multi-neighbourhood interactions give rise to local energies with bulk and surface part, and that the limit energy densities can be recovered through a scaling and superposition procedure.

引用

页码：363 / 399

页数：37

共 50 条

[21] A model study of discrete scale invariance and long-range interactions
H. -W. Hammer
R. Higa
The European Physical Journal A, 2008, 37 : 193 - 200
[22] A model study of discrete scale invariance and long-range interactions
Hammer, H. -W.
Higa, R.
EUROPEAN PHYSICAL JOURNAL A, 2008, 37 (02): : 193 - 200
[23] On the Continuum Limit for Discrete NLS with Long-Range Lattice Interactions
Kay Kirkpatrick
Enno Lenzmann
Gigliola Staffilani
Communications in Mathematical Physics, 2013, 317 : 563 - 591
[24] On the Continuum Limit for Discrete NLS with Long-Range Lattice Interactions
Kirkpatrick, Kay
Lenzmann, Enno
Staffilani, Gigliola
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2013, 317 (03) : 563 - 591
[25] LONG-RANGE INTERACTIONS
MICKENS, RE
FOUNDATIONS OF PHYSICS, 1979, 9 (3-4) : 261 - 269
[26] Nature of Long-Range Order in Stripe-Forming Systems with Long-Range Repulsive Interactions
Mendoza-Coto, Alejandro
Stariolo, Daniel A.
Nicolao, Lucas
PHYSICAL REVIEW LETTERS, 2015, 114 (11)
[27] Distributed observer design of discrete-time complex dynamical systems with long-range interactions
Wang, Xiaoling
Fan, Zhen
Zhou, Yingjiang
Wan, Youhong
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (12): : 8806 - 8820
[28] Hydrodynamic limits for long-range asymmetric interacting particle systems
Sethuraman, Sunder
Shahar, Doron
ELECTRONIC JOURNAL OF PROBABILITY, 2018, 23
[29] Improved limits on long-range parity-odd interactions of the neutron
Adelberger, E. G.
Wagner, T. A.
PHYSICAL REVIEW D, 2013, 88 (03):
[30] Limits on Exotic Long-Range Spin-Spin Interactions of Electrons
Heckel, B. R.
Terrano, W. A.
Adelberger, E. G.
PHYSICAL REVIEW LETTERS, 2013, 111 (15)

← 1 2 3 4 5 →