187 papers
This collection explores the fundamental physics concepts that govern how matter and energy interact across the universe. From the invisible forces shaping our daily lives to the complex mechanics driving cosmic phenomena, these studies reveal the underlying rules of reality. Here, we translate cutting-edge research into insights anyone can understand, bridging the gap between abstract theory and tangible discovery.
Every new preprint in this category originates from arXiv, where researchers first share their latest findings with the global community. At Gist.Science, we process each of these submissions to provide both detailed technical summaries and clear, plain-language explanations. This dual approach ensures that whether you are a seasoned physicist or a curious learner, you can grasp the significance of every breakthrough without getting lost in dense equations.
Below are the latest papers in Class-Ph, freshly processed and ready for you to explore.
This paper establishes that for a generic two-degree-of-freedom linear system, the critical damping condition yielding the fastest asymptotic decay corresponds to a unique, generally non-diagonal damping matrix that may lack positive definiteness, thereby necessitating active elements for physical realization when eigenfrequencies differ significantly.
This paper demonstrates that for a perfect monitoring instrument measuring chemical concentrations and gradients within a finite region, the optimal unbiased estimator minimizes variance by assigning all weight to the boundary rather than the interior, effectively reducing the problem to an electrostatic one.
This paper introduces the concept of completeness for two-dimensional second-gradient elastic continua and demonstrates that while classical and bi-pantographic fabrics are incomplete, a newly proposed tri-pantographic architecture successfully synthesizes a complete continuum with positive definite energy control over all second-gradient increments.
This paper demonstrates that Berry's polynomial curl-force model fails the Painlevé integrability test, while introducing a new four-parameter family of integrable curl-force Hamiltonians that possess bi-Hamiltonian structures, separability, and Lax representations, ultimately showing that the mere existence of closed trajectories does not guarantee Liouville or Painlevé integrability.
This paper argues that Newton's Second Law is not an empirical axiom but a theoretical necessity derived from the Principle of Excluded Perpetual Motion and the Weak Equivalence Principle, which together structurally compel the equivalence of inertial and gravitational mass.
This paper challenges recent claims that the Szilard engine is non-functional by applying the van der Waals surface energy principle to demonstrate that the engine can indeed operate effectively under defined conditions with a simplified piston.
This paper proposes a phase field model derived from a single energy functional that unifies crack propagation and dislocation dynamics in single crystals, demonstrating that while dislocation emission shields cracks energetically, true material toughening fundamentally requires the incorporation of dissipative mechanisms to resist dislocation motion.
This paper extends the classic conducting bar problem by incorporating self-inductance effects derived from the Biot-Savart law, revealing that the system behaves as an electromechanical damped oscillator where the bar's momentum maps to the charge in an equivalent RLC circuit.
This paper formulates and solves a constrained optimization procedure that treats the nonlinear Dissipation Inequality as a constraint equation rather than a constitutive restriction, enabling the automatic correction of faulty material specifications to ensure compliance with continuum mechanics postulates, as demonstrated through the elastoplastic response of a rate-dependent bar.
This paper derives the second law of thermodynamics for chaotic systems by linking entropy increase to the monotonic relationship between macrostate probability and the number of microstates, while demonstrating that this law breaks down and entropy can spontaneously decrease in locally nonchaotic systems where this correlation fails.