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pro vyhledávání: '"Nicholai S"'
The aim of this book is to familiarise the reader with the rich collection of ideas, methods and results available in the theory of critical phenomena in systems with confined geometry. The existence of universal features of the finite-size effects a
Autor:
Morozov, Nicholai S.
Publikováno v:
Annales Zoologici Fennici, 1992 Jan 01. 29(1), 7-28.
Externí odkaz:
https://www.jstor.org/stable/23735339
Autor:
Hassan Chamati, Nicholai S Tonchev
Publikováno v:
Modern Physics Letters B. 17:1187-1205
The present review is devoted to the problems of finite-size scaling due to the presence of long-range interaction decaying at large distance as $1/r^{d+\sigma}$, $\sigma>0$. The attention is focused mainly on the renormalization group results in the
Publikováno v:
The European Physical Journal B. 14:307-316
A d-dimensional quantum model system confined to a general hypercubical geometry with linear spatial size L and “temporal size” 1/T ( T - temperature of the system) is considered in the spherical approximation under periodic boundary conditions.
Autor:
Hassan Chamati, Nicholai S Tonchev
Publikováno v:
Journal of Statistical Physics. 83:1211-1218
The finite-size shift of the critical temperature is calculated by the example of the spherical model, with short- and long-range interactions, confined to the general geometry L{sup d-d{prime}} x {infinity}{sup d{prime}} subject to periodic boundary
Autor:
Hassan Chamati, Nicholai S Tonchev
The quantum critical behavior of the 2+1 dimensional Gross--Neveu model in the vicinity of its zero temperature critical point is considered. The model is known to be renormalisable in the large $N$ limit, which offers the possibility to obtain expre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3afe1d7f702df3984d0c357d3f0e2e7
Autor:
J.G. Brankov, Nicholai S Tonchev
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 189:583-610
The present review is devoted to the fundamental problems of finite-size scaling due to the presence of long-range interactions. The attention is focused on the precise formulation of critical finite-size scaling in the case that the bulk correlation
Autor:
Nicholai S Tonchev, Elka Korutcheva
Publikováno v:
Journal of Statistical Physics. 62:553-562
We present a systematic approach to the calculation of finite-size (FS) effects for anO(n) field-theoretic model with both short-range (SR) and long-range (LR) exchange interactions. The LR exchange interaction decays at large distances as 1/rd+2−2
Autor:
Jordan G Brankov, Nicholai S Tonchev
Publikováno v:
Journal of Statistical Physics. 60:519-526
A scaling hypothesis on finite-size scaling in the presence of a dangerous irrelevant variable is formulated for systems with long-range interaction and general geometryLd−d′×∞d′. A characteristic length which obeys a universal finite-size s
An investigation of finite-size scaling for systems with long-range interaction: The spherical model
Autor:
J.G. Brankov, Nicholai S Tonchev
Publikováno v:
Journal of Statistical Physics. 59:1431-1450
A method is suggested for the derivation of finite-size corrections in the thermodynamic functions of systems with pair interaction potential decaying at large distancesr asr−d −σ, whered is the space dimensionality andσ>0. It allows for a unif