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The long-time thermal relaxation of (TMTTF)$_2$Br, Sr$_{14}$Cu$_{24}$O$_{41}$and Sr$_2$Ca$_{12}$Cu$_{24}$O$_{41}$ single crystals at temperatures below 1 Kand magnetic field up to 10 T is investigated. The data allow us to determinethe relaxation time spectrum of the low energy excitations caused by thecharge-density wave (CDW) or spin-density wave (SDW). The relaxation time ismainly determined by a thermal activated process for all investigatedmaterials. The maximum relaxation time increases with increasing magneticfield. The distribution of barrier heights corresponds to one or two Gaussianfunctions. The doping of Sr$_{14-x}$Ca$_{x}$Cu$_{24}$O$_{41}$ with Ca leads toa drastic shift of the relaxation time spectrum to longer time. The maximumrelaxation time changes from 50 s (x = 0) to 3000 s (x = 12) at 0.1 K and 10 T.The observed thermal relaxation at x=12 clearly indicates the formation of theSDW ground state at low temperatures.

Relaxation time spectrum of low-energy excitations in one- and two-dimensional materials with charge or spin density waves