The remainder of this paper is organized as following. Section \[sec:2\] gives an overview of results from statistical physics concering the dynamics of elastic lines under the influence of random forces, and introduces several concepts that will be used in Sections to analyze the results of the dislocation dynamics simulations.

Section \[sec:3\] introduces discrete dislocation dynamics (DDD) under the influence of Langevin forces in \[sec:3.1\], the model is validated in \[sec:3.2\]. Results of simulations are reported in Section \[sec:4\], where spatio-temporal roughening under the influence of thermal forces is studied in \[sec:4.1\]. Comparison with analytical predictions from Section \[sec:2\] allows us to determine an effective, scale dependent line energy which is used in Section \[sec:4.2\] for studying dislocation glide under the influence of spatially random forces and applied stresses. Relations are given that allow to determine a characteristic pinning length from the zero-stress relaxed structure of the dislocation, and to relate this pinning length to the zero-temperature CRSS. Implications for determining CRSS values in HEA from molecular and ab-initio simulations are discussed and conclusions are given in Section \[sec:5\].

Scaling theory of elastic lines in random fields {#sec:2}
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Thermal fluctuations
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The thermal equilibrium shape of an elastic line 