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43 papers · 1 filter
Lévy walkers inside spherical shells with absorbing boundaries: Towards settling the optimal Lévy walk strategy for random searches
L. G. P. Caramês, Y. B. Matos, F. Bartumeus +5
The Lévy flight foraging hypothesis states that organisms must have evolved adaptations to exploit Lévy walk search strategies. Indeed, it is widely accepted that inverse square Lé…
Relativistic Lévy processes
Lucas G. B. de Souza, M. G. E. da Luz, E. P. Raposo +2
We study sums of independent and identically distributed random velocities in special relativity. We show that the resulting one-dimensional velocity distributions are not only sta…
Thermodynamical behavior of the Blume-Capel model in the vicinity of its tricritical point
Mário Rocha-Neto, Gustavo Camelo-Neto, Edvaldo Nogueira-Junior +1
We investigate the thermodynamic properties of the zero-field Blume-Capel model in the vicinity of its tricritical point (TCP). We calculate the quadrupole moment, internal energy,…
Generalized Weighted Permutation Entropy
Darko Stosic, Dusan Stosic, Tatijana Stosic +1
A novel heuristic approach is proposed here for time series data analysis, dubbed Generalized weighted permutation entropy, which amalgamates and generalizes beyond their original…
What does it take to solve the 3D Ising model? Minimal necessary conditions for a valid solution
G. M. Viswanathan, M. A. G. Portillo, E. P. Raposo +1
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 set…
Comment on "Inverse Square Lévy Walks are not Optimal Search Strategies for d 2" [Phys. Rev. Lett. 124, 080601 (2020)]
S. V. Buldyrev, E. P. Raposo, F. Bartumeus +4
It is widely accepted that inverse square Lévy walks are optimal search strategies because they maximize the encounter rate with sparse, randomly distributed, replenishable targets…