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pro vyhledávání: '"Bhattacharjee, Sayak"'
We introduce a family of classical stochastic processes describing diffusive particles undergoing branching and long-range annihilation in the presence of a parity constraint. The probability for a pair-annihilation event decays as a power-law in the
Externí odkaz:
http://arxiv.org/abs/2409.03280
We show how one can generate domain walls that separate high- and low-density regions with opposite momenta in the ground state of a harmonically trapped Bose-Einstein condensate using a density-dependent gauge potential. Within a Gross-Pitaevskii fr
Externí odkaz:
http://arxiv.org/abs/2212.14195
Autor:
Bhattacharjee, Sayak, Jain, Divyam
We study $N$-point rational distance sets ($\textrm{RDS}(N)$) on the parabola $y=x^2$. Previous approaches to the problem include efforts made using elliptic curves and diophantine chains, with successful analysis for $N\leq 4$. We extend the analysi
Externí odkaz:
http://arxiv.org/abs/2212.04434
Autor:
Bhattacharjee, Sayak, Ramola, Kabir
We analyze random resistor networks through a study of lattice Green's functions in arbitrary dimensions. We develop a systematic disorder perturbation expansion to describe the weak disorder regime of such a system. We use this formulation to comput
Externí odkaz:
http://arxiv.org/abs/2210.15562
Even though existence of non-convergent evolution of the states of populations in ecological and evolutionary contexts is an undeniable fact, insightful game-theoretic interpretations of such outcomes are scarce in the literature of evolutionary game
Externí odkaz:
http://arxiv.org/abs/2210.00520
Akademický článek
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Publikováno v:
Reviews of Modern Plasma Physics; 7/13/2022, Vol. 6 Issue 1, p1-46, 46p
Akademický článek
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Autor:
Bhattacharjee S; Department of Physics, Indian Institute of Technology Kanpur, Kanpur 208016, India., Ramola K; Tata Institute of Fundamental Research, Hyderabad 500107, India.
Publikováno v:
Physical review. E [Phys Rev E] 2023 Oct; Vol. 108 (4-1), pp. 044148.