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Persistence of Manifolds in Nonequilibrium Critical Dynamics [PDF]
Physical Review Letters, 2003 We study the persistence P(t) of the magnetization of a d' dimensional manifold (i.e., the probability that the manifold magnetization does not flip up to time t, starting from a random initial condition) in a d-dimensional spin system at its critical ...
A. J. Bray +6 more
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Critical point equation on almost f-cosymplectic manifolds [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – Besse first conjectured that the solution of the critical point equation (CPE) must be Einstein. The CPE conjecture on some other types of Riemannian manifolds, for instance, odd-dimensional Riemannian manifolds has considered by many geometers.
H. Aruna Kumara +2 more
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Decoding a three-dimensional conformal manifold
Journal of High Energy Physics, 2018 We study the one-dimensional complex conformal manifold that controls the infrared dynamics of a three-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric theory of three chiral superfields with a cubic superpotential. Two special points on this conformal
Marco Baggio +4 more
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Coexistence of critical phenomena: the concept of manifold multi-spectral criticality
Scientific ReportsPrompted by the ubiquity of empirical observations of critical phenomena, often in non-equilibrium macrostates, we developed a modelling approach in which several critical phenomena coexist.
Michał Chorowski +2 more
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Optimization Landscape of Quantum Control Systems
Complex System Modeling and Simulation, 2021 Optimization is ubiquitous in the control of quantum dynamics in atomic, molecular, and optical systems. The ease or difficulty of finding control solutions, which is practically crucial for developing quantum technologies, is highly dependent on the ...
Xiaozhen Ge, Rebing Wu, Herschel Rabitz
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Analysis of divergent bifurcations in the dynamics of wheeled vehicles [PDF]
Mechanical Sciences, 2022 This paper presents the bifurcation approach to analyze divergent loss of stability of the symmetric solution of a nonlinear dynamic model in Lyapunov's critical case of a single zero root. Under such a condition, material birth-annihilation bifurcations
V. Verbitskii +3 more
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Topological structure of functions with isolated critical points on a 3-manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 To each isolated critical point of a smooth function on a 3-manifold we put in correspondence a tree (graph without cycles). We will prove that functions are topologically equivalent in the neighbourhoods of critical points if and only if the ...
Bohdana Hladysh +2 more
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Paracontact Metric κ,μ-Manifold Satisfying the Miao-Tam Equation
Advances in Mathematical Physics, 2021 In this paper, we classified the paracontact metric κ,μ-manifold satisfying the Miao-Tam critical equation with κ>−1. We proved that it is locally isometric to the product of a flat n+1-dimensional manifold and an n-dimensional manifold of negative ...
Dehe Li, Jiabin Yin
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Potts-model critical manifolds revisited [PDF]
Journal of Physics A: Mathematical and Theoretical, 2016 File PB6.m contains the critical polynomials described in the ...
Scullard, Christian R. +1 more
openaire +2 more sources
Improving High Cycle Fatigue Life in An Exhaust Manifold Using Perimeter Fins with Considering Stress Gradient [PDF]
International Journal of Advanced Design and Manufacturing Technology, 2023 The effect of perimeter fins on the thermal stress and High Cycle Fatigue (HCF) life in an exhaust manifold with considering stress gradient was investigated.
Hojjat Ashouri
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