Results 81 to 90 of about 134,686 (230)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Symplectic discretization of Port Controlled Hamiltonian systems
IFAC-PapersOnLine, 2017 Abstract In this paper, a time-discretization framework is proposed for Port Controlled Hamiltonian (PCH) systems using combined discretization rules for the flows and efforts, which preserves the continuous-time structure. As examples for this formulation, three symplectic time-discretization schemes are presented, using classic discretization rules
Laurent Lefevre, Silviu Medianu
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Virial Extension for Discrete Data Series
SignalsThe Virial theorem has been applied with considerable success in various fields of natural sciences. This work proposes an extension of the theorem applied to discrete data series.
Dino Otero +5 more
doaj +1 more source
Counterdiabatic control of transport in a synthetic tight-binding lattice
Physical Review Research, 2020 Quantum state transformations that are robust to experimental imperfections are important for applications in quantum information science and quantum sensing.
Eric J. Meier +3 more
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Geometry of discrete-time spin systems
, 2015 Classical Hamiltonian spin systems are continuous dynamical systems on the symplectic phase space $(S^2)^n$. In this paper we investigate the underlying geometry of a time discretization scheme for classical Hamiltonian spin systems called the spherical ...
McLachlan, Robert I. +2 more
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Quenching the Hubbard Model: Comparison of Nonequilibrium Green's Function Methods
Contributions to Plasma Physics, EarlyView.ABSTRACT We benchmark nonequilibrium Green's function (NEGF) approaches for interaction quenches in the half‐filled Fermi–Hubbard model in one and two dimensions. We compare fully self‐consistent two‐time Kadanoff–Baym equations (KBE), the generalized Kadanoff–Baym ansatz (GKBA), and the recently developed NEGF‐based quantum fluctuations approach (NEGF‐
Jan‐Philip Joost +3 more
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Discrete mechanics, “time machines” and hybrid systems
EPJ Web of Conferences, 2013 Modifying the discrete mechanics proposed by T.D. Lee, we construct a class of discrete classical Hamiltonian systems, in which time is one of the dynamical variables.
Elze Hans-Thomas
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Optimal Control of Neutral Functional-Differential Inclusions Linear in Velocities
Trends in Computational and Applied Mathematics, 2004 This paper studies optimal control problems for dynamical systems governed by neutral functional-differential inclusions that linearly depend on delayed velocity variables.
B.S. Mordukovich, L. Wang
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Hamiltonian dynamics and constrained variational calculus: continuous and discrete settings
, 2012 The aim of this paper is to study the relationship between Hamiltonian dynamics and constrained variational calculus. We describe both using the notion of Lagrangian submanifolds of convenient symplectic manifolds and using the so-called Tulczyjew's ...
Abraham R +27 more
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Ultrafast Transitions in X‐Ray Irradiated Solids
Contributions to Plasma Physics, EarlyView.ABSTRACT In this review, we present current developments on modeling ultrafast transitions in solids triggered by intense, atto‐ to femtosecond pulses from X‐ray free electron lasers. This specific irradiation regime requires dedicated simulation tools based on theoretical and computational methods, involving the elements of classical and quantum ...
Sebastião Antunes +3 more
wiley +1 more source