109 citations · 790 across the 27 of their papers we have counts for
27 papers
Exact analytical solution for the non-selfadjoint problem of Maxwell--Cattaneo--Vernotte heat conduction with heat-transfer boundary condition
Mátyás Szücs, Tamás Fülöp
The most well-known beyond-Fourier heat conduction model, the Maxwell--Cattaneo--Vernotte equation is solved analytically in the presence of heat transfer boundary condition. In co…
Improving the accuracy of the Newmark method through backward error analysis
Donát M. Takács, Tamás Fülöp
We use backward error analysis for differential equations to obtain modified or distorted equations describing the behaviour of the Newmark scheme applied to the transient structur…
Thermodynamically extended symplectic numerical simulation of viscoelastic, thermal expansion and heat conduction phenomena in solids
Donát M. Takács, Áron Pozsár, Tamás Fülöp
Symplectic numerical schemes for reversible dynamical systems predict the solution reliably over large times as well, and are a good starting point for extension to schemes for sim…
A case study of non-Fourier heat conduction using Internal Variables and GENERIC
Mátyás Szücs, Michal Pavelka, Róbert Kovács +3
Applying simultaneously the methodology of Non-Equilibrium Thermodynamics with Internal Variables (NET-IV) and the framework of General Equation for the Non-Equilibrium Reversible-…
Size effects and beyond-Fourier heat conduction in room-temperature experiments
Anna Fehér, Norbert Lukács, László Somlai +5
It is a long-lasting task to understand heat conduction phenomena beyond Fourier. Besides the low-temperature experiments on extremely pure crystals, it has turned out recently tha…
Four spacetime dimensional simulation of rheological waves in solids and the merits of thermodynamics
Áron Pozsár, Mátyás Szücs, Róbert Kovács +1
The recent results attained from a thermodynamically conceived numerical scheme applied on wave propagation in viscoelastic/rheological solids are generalized here, both in the sen…
Probability current in zero-spin relativistic quantum mechanics
Tamás Fülöp, Tamás Matolcsi
We show that the antisymmetric spinor tensor representation of spin-0 relativistic quantum mechanics provides a conserved current with positive definite timelike component, interpr…
Guyer-Krumhansl-type heat conduction at room temperature
P. Ván, A. Berezovski, T. Fülöp +4
Results of heat pulse experiments in various artificial and natural materials are reported in the paper. The experiments are performed at room temperature with macroscopic samples.…
Elastic, thermal expansion, plastic and rheological processes - theory and experiment
Csaba Asszonyi, Attila Csatár, Tamás Fülöp
Rocks are important examples for solid materials where, in various engineering situations, elastic, thermal expansion, rheological/viscoelastic and plastic phenomena each may play…
Deviation from the Fourier law in room-temperature heat pulse experiments
S. Both, B. Czél, T. Fülöp +5
We report heat pulse experiments at room temperature that cannot be described by Fourier's law. The experimental data is modelled properly by the Guyer--Krumhansl equation, in its…
Thermodynamic hierarchies of evolution equations
P. Ván, R. Kovács, T. Fülöp
Non-equilibrium thermodynamics with internal variables introduces a natural hierarchical arrangement of evolution equations. Three examples are shown: a hierarchy of linear constit…
Distinguished rheological models in the framework of a thermodynamical internal variable theory
Cs. Asszonyi, T. Fülöp, P. Ván
We present and analyze a thermodynamical theory of rheology with single internal variable. The universality of the model is ensured as long as the mesoscopic and/or microscopic bac…
Switching Reciprocity On and Off in a Magneto-Optical X-Ray Scattering Experiment Using Nuclear Resonance of 57Fe Foils
L. Deák, L. Bottyán, T. Fülöp +6
Reciprocity is when the scattering amplitude of wave propagation satisfies a symmetry property, connecting a scattering process with an appropriate reversed one. We report on an ex…
Experimental aspects of heat conduction beyond Fourier
P. Ván, B. Czél, T. Fülöp +3
Heat conduction experiments are performed in order to identify effects beyond Fourier. Two experimental setups are discussed. First, a simple experiment by a heterogeneous material…
Universal heat conduction -- the thermodynamics of some weakly nonlocal theories
P. Ván, T. Fülöp
A linear irreversible thermodynamic framework of heat conduction in rigid conductors is introduced. The deviation from local equilibrium is characterized by a single internal varia…
Kinematic quantities of finite elastic and plastic deformation
T. Fülöp, P. Ván
Kinematic quantities for finite elastic and plastic deformations are defined via an approach that does not rely on auxiliary elements like reference frame and reference configurati…
Quantum Force Induced on a Partition Wall in a Harmonic Potential
T. Fulop, I. Tsutsui
Boundary effects in quantum mechanics are examined by considering a partition wall inserted at the centre of a harmonic oscillator system. We put an equal number of particles on bo…
Quantum force due to distinct boundary conditions
Tamas Fulop, Hitoshi Miyazaki, Izumi Tsutsui
We calculate the quantum statistical force acting on a partition wall that divides a one dimensional box into two halves. The two half boxes contain the same (fixed) number of noni…
Weakly nonlocal fluid mechanics - the Schrodinger equation
P. Van, T. Fulop
A weakly nonlocal extension of ideal fluid dynamics is derived from the Second Law of thermodynamics. It is proved that in the reversible limit the additional pressure term can be…
Connection Conditions and the Spectral Family under Singular Potentials
Izumi Tsutsui, Tamas Fulop, Taksu Cheon
To describe a quantum system whose potential is divergent at one point, one must provide proper connection conditions for the wave functions at the singularity. Generalizing the sc…
Classical Aspects of Quantum Walls in One Dimension
Tamas Fulop, Taksu Cheon, Izumi Tsutsui
We investigate the system of a particle moving on a half line x >= 0 under the general walls at x = 0 that are permitted quantum mechanically. These quantum walls, characterized by…
Spectral Structure of Quantum Line with a Defect
Taksu Cheon, Tamas Fulop, Izumi Tsutsui
We study the spectral properties of one-dimensional quantum wire with a single defect. We reveal the existence of the non-trivial topological structures in the spectral space of th…
Moebius Structure of the Spectral Space of Schroedinger Operators with Point Interaction
Izumi Tsutsui, Tamas Fulop, Taksu Cheon
The Schroedinger operator with point interaction in one dimension has a U(2) family of self-adjoint extensions. We study the spectrum of the operator and show that (i) the spectrum…
One dimensional drift-diffusion between two absorbing boundaries: application to granular segregation
Zeno Farkas, Tamas Fulop
Motivated by a novel method for granular segregation, we analyze the one dimensional drift-diffusion between two absorbing boundaries. The time evolution of the probability distrib…