272 papers
This paper proposes a "field digitization scaling" framework that treats the number of discrete field values as a renormalization group coupling, successfully applying it to relate the 2D classical clock model to the XY model and its quantum gauge theory counterpart to enable continuum limit analysis in quantum simulations.
This paper presents a thermodynamically consistent coarse-graining framework based on Doi-Peliti field theory that maps interacting particles to exact field theories, revealing how Poissonian statistics and noise effects govern distinct phase transition behaviors in low- and high-density regimes of the active Ising model.
This study reveals that defect creation and annihilation in diverse active living systems exhibit spatial symmetry breaking and irreversibility driven by a dualism between nematic structure and polar forces, challenging conventional active nematic theories and highlighting these processes as major sources of entropy production.
This paper revisits the pseudomode formalism for open quantum systems to investigate design subtleties, demonstrating how non-diagonalizable couplings generate unique spectral densities, revealing significant freedom in parameter construction, challenging convergence assumptions for evenly distributed modes, and connecting the concept to scattering theory.
This paper analyzes the spatiotemporal stability of synchronized states in coupled map lattices by performing a linear stability analysis of the orbit Jacobian in reciprocal space to determine how coupling strength influences stability against both periodic and incoherent perturbations.
This paper establishes the integrability of a family of SYK models with uniform -body interactions by deriving their exact spectra and demonstrating that their underlying R-matrix corresponds to that of the critical transverse-field Ising chain, thereby revealing a profound connection between quantum chaos and statistical mechanics.
Using extensive parallel-tempering Monte Carlo simulations, this study reveals that in the three-dimensional random-bond Ising model, a secondary percolation transition involving two equal-density clusters occurs above the thermodynamic ordering points, with the subsequent divergence of these cluster densities serving as a distinct percolation signature for the ferromagnetic and spin-glass phase transitions.
This paper reviews and extends the generalized Keffer form of the Dzyaloshinskii constant by combining three known contributions and suggesting a fourth, analyzing their macroscopic consequences for spin, momentum, and polarization evolution while also proposing an analogous form for the exchange integral in symmetric Heisenberg Hamiltonians.
This paper employs bond-weighted tensor renormalization group calculations to demonstrate that dimensionless partition-function ratios for the Ising and Potts models obey finite-size scaling and yield critical values consistent with conformal field theory predictions, while also revealing logarithmic corrections in the four-state Potts model.
This paper establishes a geometric control framework for boundary-catalytic branching processes by utilizing a Steklov spectral problem to determine the critical absorption rates required to balance population growth and achieve a steady state, while identifying a threshold beyond which such control becomes impossible.
This paper introduces minimal models, including the Arithmetic Ising Model and specific gas models, to demonstrate how entropic effects can drive generic high-energy states into ordered phases, resulting in spontaneous symmetry breaking at arbitrarily high temperatures.
This paper proposes a hardware-efficient framework for constrained optimization on probabilistic machines by introducing native multi-state p-dits and mean-field constraints to eliminate dense couplings, thereby restoring sparsity and enabling orders-of-magnitude acceleration via FPGA implementation.
This paper introduces a hierarchical Lorentz mirror model to prove normal transport in dimensions and proposes a universal $2/3$ mean-variance law for conductance, supported by numerical evidence suggesting this ratio is a signature of normal transport across dimensions.
The paper introduces **peapods**, a high-performance, open-source Python package leveraging a Rust core to efficiently simulate Ising spin systems on periodic Bravais lattices using a comprehensive suite of single-spin-flip, cluster, and replica-based Monte Carlo algorithms validated against exact critical temperatures.
This study numerically verifies that the Jarzynski equality and Crook fluctuation theorem hold for a non-Gaussian Brownian particle in a heterogeneous thermal bath described by a diffusing-diffusivity model, demonstrating that these fundamental relations remain valid even when the work distribution is non-Gaussian.
This paper proposes group entropies as a unifying framework that defines universality classes of extensive entropies for strongly correlated systems, successfully deriving consistent thermodynamic laws and demonstrating that black holes naturally exhibit negative specific heat within this formalism.
This paper challenges the conventional practice of stopping diffusion model training at the minimum test loss by identifying a "biased generalization" phase where models continue to lower loss while overfitting to training data, a phenomenon driven by the sequential nature of feature learning that poses risks for privacy-critical applications.
This paper proposes a nonequilibrium generalization of the GENERIC formalism for relaxation to steady states, characterizing macroscopic evolution as a zero-cost flow derived from an extended Onsager-Machlup action where the time-symmetric frenesy component, identified via local detailed balance and canonical decomposition, fundamentally shapes the dynamics.
This paper introduces a spectral approach to the 3D Edwards-Anderson spin glass, demonstrating that the eigenvalue statistics of overlap matrices exhibit a q-Gaussian crossover from a Wigner semicircle to a Gaussian distribution at the critical temperature, thereby offering a robust and computationally efficient indicator of spin-glass criticality.
This paper employs the random first-order transition theory and a generalized Master equation to characterize the non-Markovian, aging dynamics of thermal avalanches in driven amorphous systems, utilizing full counting statistics to derive the complete distributions of avalanche magnitudes and counts under various driving protocols.