Translation-invariant relativistic Langevin equation derived from first principles
Filippo Zadra,
Aleksandr Petrosyan,
Alessio Zaccone
Abstract:The relativistic Langevin equation poses a number of technical and conceptual problems related to its derivation and underlying physical assumptions. Recently, a method has been proposed in [A. Petrosyan and A. Zaccone, J. Phys. A: Math. Theor. 55 015001 (2022)] to derive the relativistic Langevin equation from a first-principles particle-bath Lagrangian. As a result of the particle-bath coupling, a new "restoring force" term appeared, which breaks translation symmetry.Here we revisit this problem aiming at de… Show more
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