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Li, W.H.; Ye, J.H.; Li, S.F.Y.

doi:10.1023/a:1013872107905

Cited by 178 publications

(26 citation statements)

References 5 publications

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“…The E-L equations for the extremal curves r (i)µ (s (i) ) are determined consistently with the Einstein causality principle. It then follows that the E-L equations for u (i)µ and r (i)µ following from the synchronous hybrid Hamilton variational principle (32) give respectively…”

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confidence: 99%

Hamiltonian structure of classical N-body systems of finite-size particles subject to EM interactions

Cremaschini

Tessarotto

2012

Eur. Phys. J. Plus

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An open issue in classical relativistic mechanics is the consistent treatment of the dynamics of classical N -body systems of mutually-interacting particles. This refers, in particular, to charged particles subject to EM interactions, including both binary and self interactions (EM-interacting N -body systems). The correct solution to the question represents an overriding prerequisite for the consistency between classical and quantum mechanics. In this paper it is shown that such a description can be consistently obtained in the context of classical electrodynamics, for the case of a N -body system of classical finite-size charged particles. A variational formulation of the problem is presented, based on the N -body hybrid synchronous Hamilton variational principle. Covariant Lagrangian and Hamiltonian equations of motion for the dynamics of the interacting N -body system are derived, which are proved to be delay-type ODEs. Then, a representation in both standard Lagrangian and Hamiltonian forms is proved to hold, the latter expressed by means of classical Poisson Brackets. The theory developed retains both the covariance with respect to the Lorentz group and the exact Hamiltonian structure of the problem, which is shown to be intrinsically nonlocal. Different applications of the theory are investigated. The first one concerns the development of a suitable Hamiltonian approximation of the exact equations that retains finite delay-time effects characteristic of the binary and self EM interactions. Second, basic consequences concerning the validity of Dirac generator formalism are pointed out, with particular reference to the instant-form representation of Poincarè generators. Finally, a discussion is presented both on the validity and possible extension of the Dirac generator formalism as well as the failure of the so-called Currie "no-interaction" theorem for the non-local Hamiltonian system considered here.the conditions of validity of DGF itself and, in particular, whether such an approach actually applies at all to EMinteracting N -body systems. Goals of the paperPut all the previous motivations in perspective, in this paper a systematic solution to these issues is presented, for the case of EM-interacting N -body systems of classical finite-size charged particles. The theory is developed in the framework of classical electrodynamics and special relativity (i.e., assuming a flat Minkowski space-time) and is shown to satisfy all the prerequisites indicated above (#1-#5).Starting point is the determination of both Lagrangian and Hamiltonian equations of motion for classical charged particles belonging to an EM-interacting N -body system. By construction (see Section 2) the latter can be considered as a system of smooth hard sphere, namely in which hard collisions occurring between the particles, when their boundaries ∂Ω (i) (see below) come into contact, conserve each particle angular momentum. In particular, for simplicity, in the following all extended particles will be considered as acted upon only by EM inte...

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confidence: 99%

Hamiltonian structure of classical N-body systems of finite-size particles subject to EM interactions

Cremaschini

Tessarotto

2012

Eur. Phys. J. Plus

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“…The membrane proton conductivity is a function of the temperature and phosphoric acid doping level [20,27]:…”

Section: Governing Equationsmentioning

confidence: 99%

“…In order to obtain high proton conductivity, the PBI membrane is always doped with phosphoric acid, sulfuric acid, etc. [19][20][21]. Constant proton conductivities of the membrane are widely used in mathematical models to investigate the multi-physics phenomena and performance in HT-PEMFCs [10,15,17,[21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Impact of Membrane Phosphoric Acid Doping Level on Transport Phenomena and Performance in High Temperature PEM Fuel Cells

Peng

Shen

et al. 2021

Membranes

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In this work, a three-dimensional mathematical model including the fluid flow, heat transfer, mass transfer, and charge transfer incorporating electrochemical reactions was developed and applied to investigate the transport phenomena and performance in high-temperature proton exchange membrane fuel cells (HT-PEMFCs) with a membrane phosphoric acid doping level of 5, 7, 9, 11. The cell performance is evaluated and compared in terms of the polarization curve. The distributions of temperature, oxygen mass fraction, water mass fraction, proton conductivity, and local current density of four cases are given and compared in detail. Results show that the overall performance and local transport characteristics are significantly affected by the membrane phosphoric acid doping level.

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“…However there are so far reports relating these applications; the few approaches found in literature are in electrokinetic chromatography with modified acrylamide‐graphene used in μ‐SPE for the analysis of heterocyclic amines in food (spicy salted duck, baked fish, and fried chicken samples) . It was found only one application of graphene on a multidimensional separation using in‐tube SPME approach but this is not related to food analysis . Development of systems that utilizes this material will certainly contribute to achieve good results in food safety for compounds that has aromatic rings; for other analytes, graphene can be functionalized as the cases discussed before.…”

Section: Classical and New Materials Used In Multidimensional Sample mentioning

confidence: 99%

An overview of multidimensional liquid phase separations in food analysis

et al. 2016

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Food safety is a priority public health concern that demands analytical methods capable to detect low concentration level of contaminants (e.g. pesticides and antibiotics) in different food matrices. Due to the high complexity of these matrices, a sample preparation step is in most cases mandatory to achieve satisfactory results being usually tedious, lengthy, and prone to the introduction of errors. For this reason, many research groups have focused efforts on the development of online systems capable to do the cleanup, concentration, and separation steps at once through multidimensional separation techniques (MDS). Among several possible setups, the most popular are the multidimensional chromatographic techniques (MDC) that consist in combining more than one mobile and/or stationary phase to provide a satisfactory separation. In the present review, we selected a variety of multidimensional separation systems used for food contaminant analysis in order to discuss the instrumentation aspects, the concept of orthogonality, column approaches used in these systems, and new materials that can be used in these columns. Selected classes of contaminants present in food matrices are introduced and discussed as example of the potential applications of multidimensional liquid phase separation techniques in food safety.

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Untitled

Cited by 178 publications

References 5 publications

Hamiltonian structure of classical N-body systems of finite-size particles subject to EM interactions

Hamiltonian structure of classical N-body systems of finite-size particles subject to EM interactions

Impact of Membrane Phosphoric Acid Doping Level on Transport Phenomena and Performance in High Temperature PEM Fuel Cells

An overview of multidimensional liquid phase separations in food analysis

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