Zobrazeno 1 - 10
of 454
pro vyhledávání: '"Viswanathan G A"'
Autor:
Viswanathan, G. M.
Enumerating polygons on regular lattices is a classic problem in rigorous statistical mechanics. The goal of enumerating polygons on the square lattice via fermionic path integration was achieved using a free-fermion quadratic action in the late 1970
Externí odkaz:
http://arxiv.org/abs/2305.17046
Exact solution of the Ising model on the simple cubic lattice is one of the long-standing open problems in rigorous statistical mechanics. Indeed, it is generally believed that settling it would constitute a methodological breakthrough, fomenting gre
Externí odkaz:
http://arxiv.org/abs/2205.12357
We present numerical investigations into the question of the validity of the Boltzmann prescription in Statistical Mechanics for large systems, addressing the issue of whether extensivity of energy implies the extensivity of the Boltzmann entropy. Th
Externí odkaz:
http://arxiv.org/abs/2201.02271
Publikováno v:
Phys. Rev. E 105, 034123 (2022)
There are few exactly solvable lattice models and even fewer solvable quantum lattice models. Here we address the problem of finding the spectrum of the tight-binding model (equivalently, the spectrum of the adjacency matrix) on Cayley trees. Recent
Externí odkaz:
http://arxiv.org/abs/2106.06879
Autor:
Felippe, H., Viol, A., de Araujo, D. B., da Luz, M. G. E., Palhano-Fontes, F., Onias, H., Raposo, E. P., Viswanathan, G. M.
Publikováno v:
EPL 141 31003 (2023)
There is demand in diverse fields for a reliable method of estimating the entropy associated with correlations. The estimation of a unique entropy directly from the Pearson correlation matrix has remained an open problem for more than half a century.
Externí odkaz:
http://arxiv.org/abs/2106.05379
Autor:
Buldyrev, S. V., Raposo, E. P., Bartumeus, F., Havlin, S., Rusch, F. R., da Luz, M. G. E., Viswanathan, G. M.
Publikováno v:
Physical Review Letters 126, 048901 (2021)
It is widely accepted that inverse square L\'evy walks are optimal search strategies because they maximize the encounter rate with sparse, randomly distributed, replenishable targets when the search restarts in the vicinity of the previously visited
Externí odkaz:
http://arxiv.org/abs/2103.10865
In literature one can find many generalizations of the usual Leibniz derivative, such as Jackson derivative, Tsallis derivative and Hausdorff derivative. In this article we present a connection between Jackson derivative and recently proposed Hausdor
Externí odkaz:
http://arxiv.org/abs/2006.00378
Publikováno v:
Phys. Rev. E 110, 034136 (2024)
We study the thermodynamics of a crystalline solid by applying intermediate statistics obtained by deforming known solid state models using the mathematics of $q$-analogs. We apply the resulting $q$-deformation to both the Einstein and Debye models a
Externí odkaz:
http://arxiv.org/abs/1907.09055
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