Nonequilibrium Thermodynamics and Fluctuation Kinetics : Modern Trends and Open Questions This book addresses research challenges in the rapidly developing area of nonequilibrium thermodynamics and fluctuation kinetics. This cross disciplinary field comprises various topics ranging from fundamental problems of nonequilibrium statistical mechanics and thermodynamics to multiple applications in plasma fluid mechanics nonlinear science systems of dissipative particles and high Q resonators. The purpose of this book is to bring together world leading experts in the above fields to initiate a cross fertilization among these active research areas. The book is dedicated to and honours the memory of Professor Slava Belyi who passed away unexpectedly on May 20 2020. He was pioneering the theory of nonequilibrium fluctuations in particular the application of the Callen Welton fluctuation dissipation theorem to nonequilibrium systems and its generalization. This and related problems also feature in the book. In Memoriam Professor Vjacheslav (Slava) Bevyi (1945 2020) Biographic Note The Many Faces of Fluctuation dissipation Relations out of Equilibrium Mandelbrots Fractal Structure in Decaying Process of a Matter field Interacting System Thermodynamic Flux Force Closure Relations for Systems out of the Onsager Region Simulating Deterministic Dynamics by Drawing Coloured Balls at Random in Urns.