Certain physical systems require Lagrangians not of the standard kinetic minus potential form
the verdict
SUPPORTED
the evidence backs this
confidence 82/100
Certain physical systems, such as dissipative, non-conservative, or heavily damped mechanical and thermodynamic systems, require non-standard Lagrangians that do not take the traditional kinetic minus potential form.
Evidence for · 5
The Herglotz variational principle for dissipative field theories
2022 · cited by 15
The Herglotz variational principle generalizes contact Lagrangians for dissipative field theories beyond the standard kinetic minus potential form.
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More for · 4
Non-Standard and Null Lagrangians for Nonlinear Dynamical Systems and Their Role in Population Dynamics
2023 · cited by 9
Non-standard Lagrangians for damped nonlinear systems do not display standard energy-like terms while reproducing correct equations of motion.
Exergy Flow as a Unifying Physical Quantity in Applying Dissipative Lagrangian Fluid Mechanics to Integrated Energy Systems.
2024 · cited by 2
Modified Lagrangian mechanics uses exergy flow as a unifying Lagrangian to capture multi-energy systems with mechanical and thermal dissipations.
Helmholtz and Liénard-type oscillators from non-standard Lagrangians
2026 · cited by 1
Non-standard Lagrangians provide a variational framework for systems with velocity-dependent nonlinearities and dissipation that traditional formulations miss.
A Variational Formulation for Irreversible Thermodynamics with Path Dependence.
2026 · cited by 0
Path-dependent energy Lagrangians for irreversible thermomechanics incorporate heat, entropy, and dissipation directly into the action without standard Rayleigh potentials.