Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Dimitrios Tsagkarogiannis"'
Publikováno v:
Entropy, Vol 19, Iss 8, p 395 (2017)
We present a systematic coarse-graining (CG) strategy for many particle molecular systems based on cluster expansion techniques. We construct a hierarchy of coarse-grained Hamiltonians with interaction potentials consisting of two, three and higher b
Externí odkaz:
https://doaj.org/article/e315ef332455492fb4fbe80fc72a7c1e
We prove a multivariate Lagrange-Good formula for functionals of uncountably many variables and investigate its relation with inversion formulas using trees. We clarify the cancellations that take place between the two aforementioned formulas and dra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff123971ad0dd58e14f0a0da1b53fb27
http://hdl.handle.net/11697/158134
http://hdl.handle.net/11697/158134
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030697839
We study the density fluctuation field for the stirring process with births and deaths at two sites at the boundary which tend to impose a current into the system. Assuming correlation estimates (to be proved in a companion paper [2]) we derive an eq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a51ba8211a352861ce2e2608c461181
https://doi.org/10.1007/978-3-030-69784-6_5
https://doi.org/10.1007/978-3-030-69784-6_5
We consider a binary system of small and large objects in the continuous space interacting via a non-negative potential. By integrating over the small objects, the effective interaction between the large ones becomes multi-body. We prove convergence
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b06562f582521a8b34a0234ab10b92b
http://hdl.handle.net/11697/142331
http://hdl.handle.net/11697/142331
Autor:
Dimitrios Tsagkarogiannis, Tobias Kuna
Publikováno v:
Annales Henri Poincaré. 19:1115-1150
We prove absolute convergence of the multi-body correlation functions as a power series in the density uniformly in their arguments. This is done by working in the context of the cluster expansion in the canonical ensemble and by expressing the corre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::277b1cd93bd39977f6bb616449e26700
https://doi.org/10.1007/s00023-018-0655-9
https://doi.org/10.1007/s00023-018-0655-9
Publikováno v:
Oberwolfach Reports. 14:417-452
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1cd39e8518672652be9a5dd799d46d81
https://doi.org/10.4171/owr/2017/8
https://doi.org/10.4171/owr/2017/8
We prove a novel inversion theorem for functionals given as power series in infinite-dimensional spaces and apply it to the inversion of the density-activity relation for inhomogeneous systems. This provides a rigorous framework to prove convergence
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb0d13dd1c70b67515be67c382c4fa1c
Publikováno v:
Journal of Statistical Physics. 159:1017-1039
We consider a classical system of $N$ particles confined in a box $\Lambda\subset\mathbb{R}^d$ interacting via a finite range pair potential. Given the validity of the cluster expansion in the canonical ensemble we compute the error between the finit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::001741c3a132b8f0d8161b9f9a9b82c2
https://doi.org/10.1007/s10955-015-1207-z
https://doi.org/10.1007/s10955-015-1207-z
Publikováno v:
Entropy, Vol 19, Iss 8, p 395 (2017)
Entropy; Volume 19; Issue 8; Pages: 395
Entropy; Volume 19; Issue 8; Pages: 395
We present a systematic coarse-graining (CG) strategy for many particle molecular systems based on cluster expansion techniques. We construct a hierarchy of coarse-grained Hamiltonians with interaction potentials consisting of two, three and higher b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ab3646433d228bf64dff7b49fc27b50
https://www.mdpi.com/1099-4300/19/8/395
https://www.mdpi.com/1099-4300/19/8/395
We study the most probable way an interface moves on a macroscopic scale from an initial to a final position within a fixed time in the context of large deviations for a stochastic microscopic lattice system of Ising spins with Kac interaction evolvi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93c02568cc4613686203711667e97359
http://sro.sussex.ac.uk/id/eprint/66120/3/art%3A10.1007%2Fs10955-017-1720-3.pdf
http://sro.sussex.ac.uk/id/eprint/66120/3/art%3A10.1007%2Fs10955-017-1720-3.pdf