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Non-Gaussian diffusive fluctuations in Dirac fluids.
Proc Natl Acad Sci U S A
December 2024
Department of Physics, University of Massachusetts, Amherst, MA 01003.
Dirac fluids-interacting systems obeying particle-hole symmetry and Lorentz invariance-are among the simplest hydrodynamic systems; they have also been studied as effective descriptions of transport in strongly interacting Dirac semimetals. Direct experimental signatures of the Dirac fluid are elusive, as its charge transport is diffusive as in conventional metals. In this paper, we point out a striking consequence of fluctuating relativistic hydrodynamics: The full counting statistics (FCS) of charge transport is highly non-Gaussian.
View Article and Find Full Text PDFPropagation Speeds of Relativistic Conformal Particles from a Generalized Relaxation Time Approximation.
Entropy (Basel)
October 2024
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Ciudad de Buenos Aires CP 1428, Argentina.
The propagation speeds of excitations are a crucial input in the modeling of interacting systems of particles. In this paper, we assume the microscopic physics is described by a kinetic theory for massless particles, which is approximated by a generalized relaxation time approximation (RTA) where the relaxation time depends on the energy of the particles involved. We seek a solution of the kinetic equation by assuming a parameterized one-particle distribution function (1-pdf) which generalizes the Chapman-Enskog (Ch-En) solution to the RTA.
View Article and Find Full Text PDFRelativistic Prolapse-Free Gaussian Basis Sets of Double- and Triple-ζ Quality for - and -Block Elements: (aug-)RPF-2Z and (aug-)RPF-3Z.
J Chem Theory Comput
November 2024
Department of Chemistry and Molecular Physics, São Carlos Institute of Chemistry, University of São Paulo, C.P. 780, São Carlos, São Paulo 13560-970, Brazil.
This study presents two new relativistic Gaussian basis sets without variational prolapse of double- and triple-ζ quality, RPF-2Z and RPF-3Z, along with augmented versions including additional diffuse functions, aug-RPF-2Z and aug-RPF-3Z, which are available for all and block elements from Hydrogen to Oganesson. The exponents of the Correlation/Polarization (C/P) functions are obtained from a polynomial version of the generator coordinate Dirac-Fock method (p-GCDF). The choice of C/P functions was guided by multireference configuration interaction calculations with single and double excitations (MR-CISD) based on a valence active space.
View Article and Find Full Text PDFThe theory of thermodynamic relativity.
Sci Rep
September 2024
Department of Astrophysical Sciences, Princeton University, Princeton, NJ, 08544, USA.
We introduce the theory of thermodynamic relativity, a unified theoretical framework for describing both entropies and velocities, and their respective physical disciplines of thermodynamics and kinematics, which share a surprisingly identical description with relativity. This is the first study to generalize relativity in a thermodynamic context, leading naturally to anisotropic and nonlinear adaptations of relativity; thermodynamic relativity constitutes a new path of generalization, as compared to the "traditional" passage from special to general theory based on curved spacetime. We show that entropy and velocity are characterized by three identical postulates, which provide the basis of a broader framework of relativity: (1) no privileged reference frame with zero value; (2) existence of an invariant and fixed value for all reference frames; and (3) existence of stationarity.
View Article and Find Full Text PDFFundamental Limits for Realizing Quantum Processes in Spacetime.
Phys Rev Lett
August 2024
Institute for Theoretical Physics, ETH Zurich, 8093 Zürich, Switzerland.
Understanding the interface between quantum and relativistic theories is crucial for fundamental and practical advances, especially given that key physical concepts such as causality take different forms in these theories. Bell's no-go theorem reveals limits on classical processes, arising from relativistic causality principles. Considering whether similar fundamental limits exist on quantum processes, we derive no-go theorems for quantum experiments realizable in classical background spacetimes.
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