17 papers
This paper presents a novel scalar action formulation, derived from the Schwinger-Keldysh formalism, that successfully describes non-holonomic and inequality-constrained mechanical systems by recovering Lagrange-d'Alembert dynamics through direct extremization, thereby enabling new analytical and computational approaches that bypass traditional equations of motion.
This paper presents a symplectic Hamiltonian framework for thermodynamics that models equilibrium states as Lagrangian submanifolds and describes both reversible and irreversible processes, such as free expansion and heat transfer, through Hamiltonian dynamics and port-Hamiltonian systems.
This paper demonstrates that within a distributional framework, the Principle of Virtual Work is necessary to characterize equilibrium in higher-gradient continua where balance laws alone are insufficient, and it clarifies that Noll's theorem regarding surface contact forces relies on assumptions that fail for such materials, thereby validating the existence of curvature-dependent contact interactions.
This paper presents two new methods for constructing Lagrangians with specific symmetries by deriving relations from Noether's identity that link the Hessian matrix, symmetry transformations, and constants of motion, and then combining these with Helmholtz's conditions to solve the inverse problem of mechanics.
This paper proposes a classical model of elementary particles where distinguishing between the center of mass and the center of interaction leads to a description of spinning particles whose dynamics, when the center of interaction moves at light speed, yield Dirac's equation upon quantization.
This paper presents a theoretical design for a single-heat-source power generation cycle using R134a that claims to bypass the Carnot limit by leveraging asymmetric constraints to harvest ambient heat and produce net work from a micro temperature difference.
This paper addresses the confusion caused by non-SI quantities and misleading terminology in phase and amplitude noise measurements, advocating for the universal adoption of the International System of Units (SI) and clear, unambiguous language to standardize the field.
This paper proposes and validates a low-frequency underwater acoustic insulator based on complementary extremal materials, which achieve perfect mode conversion from longitudinal to transverse waves at the interface between a unimode and a bimode material to control elastic wave polarization and waterborne sound.
This paper investigates band modulations and topological transitions in a one-dimensional periodic bead-on-string chain by combining exact transfer-matrix analysis, numerical simulations, and tabletop experiments to demonstrate that localized midgap states are topological solitons governed by the Su-Schrieffer-Heeger model and Dirac theory.
This paper proposes a first analytical approach for estimating the viscosity-like parameter of three-phase viscoplastic materials by extending classical averaging equations, bounds, and the Mori-Tanaka method to the three-phase case, with specific fully analytical results provided for dilute inclusions.
This paper derives and explicitly characterizes the complete set of universal displacement fields for all 48 material symmetry classes in three-dimensional linear strain-gradient elasticity, revealing that while high-symmetry classes retain classical universal displacements, lower-symmetry classes impose stricter higher-order differential conditions that reduce these families to proper subsets.
This monograph explores the mathematical foundations of Special Relativity in flat spacetime, with a specific focus on the Lorentz group and its applications to mechanics and electrodynamics.
This paper proposes a covariant generalization of the non-relativistic Goedecke equation to derive a new classical relativistic equation for point charge motion that eliminates runaway solutions and encompasses the Abraham-Lorentz-Dirac and Mo-Papas equations as approximate consequences.
This paper outlines Jackson's derivation of the inhomogeneous wave equations for auxiliary functions and in his 2002 AJP paper, clarifying their distinct roles in transforming the Lorenz-gauge vector potential to the Coulomb gauge by showing that results from subtracting from rather than being given directly by .
This paper presents an exact frequency-domain formulation of pendulum-like systems that unifies oscillatory, separatrix, and rotational regimes under a single universal spectral kernel, revealing that regime transitions are symmetry-driven reorganizations in frequency space rather than changes in the underlying spectral structure.
This paper demonstrates that combining the geometric Berry phase with non-Hermitian dissipation enables a fundamentally new amplification mechanism where slow parameter modulation converts a lossy oscillator system into one with gain, a phenomenon uniquely driven by the complex-valued Berry phase.
This paper contrasts classical and quantum models of particle-wall interactions within the canonical ensemble to elucidate how surface density correlations, though vanishing in the thermodynamic limit, refine the understanding of its attainment for an ideal gas.