149 citations · 357 across the 16 of their papers we have counts for
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Analytical and numerical modelling of ballistic heat conduction observed in heat pulse experiments
Gábor Balassa, Patrizia Rogolino, Ágnes Rieth +1
Among the three heat conduction modes, the ballistic propagation is the most difficult to model. In the present paper, we discuss its physical interpretations and showing different…
Ballistic-diffusive model for heat transport in superlattices and the minimum effective heat conductivity
Federico Vázquez, Péter Ván, Róbert Kovács
There has been much interest in semiconductor superlattices because of showing very low thermal conductivities. This makes them especially suitable for applications in a variety of…
Numerical treatment of nonlinear Fourier and Maxwell-Cattaneo-Vernotte heat transport equations
Róbert Kovács, Patrizia Rogolino
The second law of thermodynamics is a useful and universal tool to derive the generalizations of the Fourier's law. In many cases, only linear relations are considered between the…
Variational principles and thermodynamics
Péter Ván, Róbert Kovács
Variational principles play a fundamental role in deriving evolution equations of physics. They are working well in case of nondissipative evolution but for dissipative systems the…
Non-equilibrium theories of rarefied gases: internal variables and extended thermodynamics
Róbert Kovács, Damir Madjarević, Srboljub Simić +1
Limits of classical constitutive laws such as Fourier and Navier-Stokes equations are discovered since decades. However, the proper extensions -- generalizations of these are not u…
Implicit numerical schemes for generalized heat conduction equations
A. Rieth, R. Kovács, T. Fülöp
There are various situations where the classical Fourier's law for heat conduction is not applicable, such as heat conduction in heterogeneous materials or for modeling low-tempera…
Second sound and ballistic heat conduction: NaF experiments revisited
Róbert Kovács, Péter Ván
Second sound phenomenon and ballistic heat conduction, the two wave like propagation modes of heat, are the two most prominent, experimentally observed non-Fourier effects of heat…
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.…
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…
Generalized heat conduction in heat pulse experiments
R. Kovács, P. Ván
A novel equation of heat conduction is derived with the help of a generalized entropy current and internal variables. The obtained system of constitutive relations is compatible wi…