# General theory of heat diffusion dynamics

@article{Trster2002GeneralTO, title={General theory of heat diffusion dynamics}, author={Andreas Tr{\"o}ster and W. Schranz}, journal={Physical Review B}, year={2002}, volume={66}, pages={184110} }

A detailed theoretical investigation of the influence of heat diffusion processes on the low-frequency dispersion in macroscopic elastic susceptibilities is presented. In particular, a general solution of the heat diffusion equation is derived for arbitrary boundary conditions and externally imposed periodic and spatially inhomogeneous stress. In contrast to other calculations found in the literature, our results indicate that in elastic experiments on monodomain samples of macroscopic…

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## References

SHOWING 1-10 OF 16 REFERENCES

Thermal Diffusion Dispersion in Disordered Systems.

- Physics
- 1997

A thermal diffusion process is discussed, that should be expected in any system in which the difference in the local susceptibilities χ T -χ S is inhomogeneous, where the superscripts indicate…

Heat-diffusion central peak in the dielectric susceptibility of ferroelectric materials.

- PhysicsPhysical review. B, Condensed matter
- 1996

A phenomenological theory is presented describing the heat-diffusion central peak in the macroscopic ~q50! dielectric susceptibility that results from the Landau free energy and theHeatdiffusion equation and predicts a relaxation in the ferroelectric phase at low frequencies that depends on sample size.

Dynamic hardening of C 60 : A heat-diffusion central-peak model

- Physics
- 1997

The elastic constant $C$ of pure solid C${}_{60},$ measured at low frequencies with a dynamical mechanical analyzer, exhibits in the vicinity of the order-disorder phase transition at ${T}_{c}=260$ K…

Ultralow-frequency dispersion in macroscopic susceptibilities.

- PhysicsPhysical review. B, Condensed matter
- 1993

A theory is presented which predicts a sample-geometry-dependent dispersion at very low frequencies in a general macroscopic susceptibility X of a system, in a thermal bath, due to an adiabatic…

Low-frequency superelasticity and nonlinear elastic behavior of SrTiO 3 crystals

- Materials Science
- 2000

To clarify the inconsistencies in existing elastic constant data of SrTiO 3 in the vicinity of the 105 K phase transition we have studied the temperature dependence of the Young’s modulus of SrTiO 3…

Nonlinear elastic behaviour of SrTiO3 crystals in the quantum paraelectric regime

- Geology
- 2000

The ultra-low-frequency (Hz region) elastic behaviour of SrTiO3 has been examined over a wide temperature range including the cubic-tetragonal transition at Tc = 105 K and the quantum paraelectric…

A dielectric study of the domain freezing in KD2AsO4

- Physics
- 1995

The temperature- and frequency-dependent dielectric susceptibility of KD2AsO4 was studied in the ferroelectric phase. A dispersion which is related to the dipole reversal was found in the…

Interface pinning and dynamics in random systems.

- PhysicsPhysical review. B, Condensed matter
- 1990

A detailed low-temperature treatment of the domain wall or interface pinning by imperfections in disordered systems with discrete symmetry of the order parameter is presented. Crossover behavior as…

Dielectric dispersion due to weak domain wall pinning in RbH 2 PO 4

- Materials Science
- 2002

Dielectric spectroscopy experiments are carried out in the ferroelectric phase of rubidium dihydrogen phosphate (RbH 2 PO 4 ), within the frequency range 0.1 Hz T>T f 117 K of the anomalously high…

Non-Debye domain wall response in KH2PO4

- Physics, Materials Science
- 2002

Data obtained by dielectric spectroscopy reveal a strongly polydispersive, non-Debye dispersion appearing in potassium dihydrogen phosphate on cooling below the paraelectric-ferroelectric phase…