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Variational principle for scale-free network motifs [PDF]
Scientific Reports, 2019 For scale-free networks with degrees following a power law with an exponent τ ∈ (2, 3), the structures of motifs (small subgraphs) are not yet well understood.
Clara Stegehuis +2 more
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Stochastic Adaptive Single-Site Time-Dependent Variational Principle [PDF]
JACS Au, 2022 Yihe Xu +4 more
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An efficient quantum algorithm for the time evolution of parameterized circuits [PDF]
Quantum, 2021 We introduce a novel hybrid algorithm to simulate the real-time evolution of quantum systems using parameterized quantum circuits. The method, named "projected – Variational Quantum Dynamics" (p-VQD) realizes an iterative, global projection of the exact ...
Stefano Barison +2 more
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A Variational Principle for a Nonlinear Oscillator Arising in the Microelectromechanical System [PDF]
Journal of Applied and Computational Mechanics, 2021 A nonlinear oscillator arising in the microelectromechanical system is complex and it is difficult to obtain a variational principle. This paper begins with a wrong variational formulation and uses the semi-inverse method to obtain a genuine variational ...
Ji-Huan He +2 more
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Unique extension of the maximum entropy principle to phase coexistence in heat conduction
Physical Review Research, 2022 The maximum entropy principle determines the values of thermodynamic variables in thermally isolated equilibrium systems. This paper extends the principle to a variational principle that applies to liquid–gas coexistence in heat conduction.
Naoko Nakagawa, Shin-ichi Sasa
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On Ekeland’s Variational Principle in Rectangular bmertic Spaces
Journal of Harbin University of Science and Technology, 2020 Ekeland′s variational principle plays an important role in fixed point theory. It has applications in many fields such as optimization theory, control theory, critical point theory and others.
HUANG Shuai, CHEN Lili, LIU Xin
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Theory of variational quantum simulation [PDF]
Quantum, 2019 The variational method is a versatile tool for classical simulation of a variety of quantum systems. Great efforts have recently been devoted to its extension to quantum computing for efficiently solving static many-body problems and simulating real and ...
Xiao Yuan +4 more
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Herglotz type conservation laws for nonconservative nonholonomic systems
AIP Advances, 2023 The Herglotz variational principle offers an effective method for studying nonconservative system dynamics. The aim of this paper is to study the conservation laws of nonholonomic systems by using the Herglotz type generalized variational principle and ...
Xinchang Dong, Yi Zhang
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The Principle of Covariance and the Hamiltonian Formulation of General Relativity
Entropy, 2021 The implications of the general covariance principle for the establishment of a Hamiltonian variational formulation of classical General Relativity are addressed.
Massimo Tessarotto, Claudio Cremaschini
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Gyarmati’s Variational Principle of Dissipative Processes
Entropy, 2014 Like in mechanics and electrodynamics, the fundamental laws of the thermodynamics of dissipative processes can be compressed into Gyarmati’s variational principle. This variational principle both in its differential (local) and in integral (global) forms
József Verhás
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