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Dynamical system models of complex biochemical reaction networks are usually high-dimensional, nonlinear, and contain many unknown parameters. In some cases the reaction network structure dictates that positive equilibria must be unique for…

Dynamical Systems · Mathematics 2008-09-09 Gheorghe Craciun , J. William Helton , Ruth J. Williams

We present large scale simulations for a one-dimensional chain of hard-point particles with alternating masses. We correct several claims in the recent literature based on much smaller simulations. Both for boundary conditions with two heat…

Chaotic Dynamics · Physics 2009-11-07 Peter Grassberger , Walter Nadler , Lei Yang

In a companion article it was shown in a certain precise sense that, for any thermodynamical theory that respects the Kelvin-Planck Second Law, the Hahn-Banach Theorem immediately ensures the existence of a pair of continuous functions of…

Mathematical Physics · Physics 2023-08-22 Martin Feinberg , Richard B. Lavine

We calculate the hybrid entanglement entropy between coin and walker degrees of freedom in a non-unitary quantum walk. The model possesses a joint parity and time-reversal symmetry or PT-symmetry and supports topological phases when this…

Quantum Physics · Physics 2023-02-08 Gene M. M. Itable , Francis N. C. Paraan

The length-scale dependence of the dynamic entropy is studied in a molecular dynamics simulation of a binary Lennard-Jones liquid above the mode-coupling critical temperature $T_c$. A number of methods exist for estimating the entropy of…

Soft Condensed Matter · Physics 2009-10-31 Paolo Allegrini , Jack F. Douglas , Sharon C. Glotzer

Many theoretical expressions of dissipation along non-equilibrium processes have been proposed. However, they have not been fully verified by experiments. Especially for systems strongly interacting with environments the connection between…

Statistical Mechanics · Physics 2019-12-03 Ketan Goyal , Xian He , Ryoichi Kawai

Quantum mechanical entanglement can exist in noisy open quantum systems at high temperature. A simple mechanism, where system particles are randomly reset to some standard initial state, can counteract the deteriorating effect of…

Quantum Physics · Physics 2007-08-07 L. Hartmann , W. Dür , H. -J. Briegel

A longstanding challenge in the foundations of quantum mechanics is the verification of alternative collapse theories despite their mathematical similarity to decoherence. To this end, we suggest a novel method based on dynamical…

Quantum Physics · Physics 2016-11-25 Christian Arenz , Robin Hillier , Martin Fraas , Daniel Burgarth

We set up a framework for quantum stochastic thermodynamics based solely on experimentally controllable, but otherwise arbitrary interventions at discrete times. Using standard assumptions about the system-bath dynamics and insights from…

Quantum Physics · Physics 2019-08-22 Philipp Strasberg

We study a micro and macroscopic model for chemical reactions with feedback between reactions and temperature of the solute. The first result concerns the quasipotential as the large-deviation rate of the microscopic invariant measure. The…

Mathematical Physics · Physics 2021-11-25 D. R. Michiel Renger

We study entanglement entropies between the single-particle states of the hole space and its complement in nuclear systems. Analytical results based on the coupled-cluster method show that entanglement entropies are proportional to the…

Nuclear Theory · Physics 2023-11-20 Chenyi Gu , Z. H. Sun , G. Hagen , T. Papenbrock

Calculation of topological order parameters, such as the topological entropy and topological mutual information, are used to determine whether states possess topological order. Their calculation is expected to give reliable results when the…

Strongly Correlated Electrons · Physics 2012-05-16 James R. Wootton

It is shown how information contained in the pairwise correlations (in general, partial) between atoms of a gas can be used to completely convert heat taken from a thermostat into mechanical work in a process of relaxation of the system to…

Quantum Physics · Physics 2015-05-20 Lev B Levitin , Tommaso Toffoli

The dependence of the equilibration of the parton plasma on the value of the strong coupling is studied in Au+Au collisions at LHC and at RHIC energies. With increasing coupling, the following are found to happen: 1) both thermal and…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. M. H. Wong

This letter highlights the entropy exchange phenomenon in a coupled binary inter-correlating system following Haldane's non-linear statistical correlation. A unique coupling between a classical and a quantum-like system at the marginal…

Statistical Mechanics · Physics 2025-05-22 Projesh Kumar Roy

In chemistry, a catalyst is a substance which enables a chemical reaction or increases its rate, while remaining unchanged in the process. Instead of chemical reactions, quantum catalysis enhances our ability to convert quantum states into…

Quantum Physics · Physics 2024-04-16 Chandan Datta , Tulja Varun Kondra , Marek Miller , Alexander Streltsov

A prototype statistical model for the etching of a random solid is investigated in order to assess the influence of disorder and temperature on the dissolution kinetics. At low temperature, the kinetics is dominated by percolation…

Condensed Matter · Physics 2009-11-07 K. M. Kolwankar , M. Plapp , B. Sapoval

Spontaneous symmetry breaking is a hallmark of equilibrium systems, typically characterized by a single critical point separating ordered and disordered phases. Recently, a novel class of non-equilibrium phase transitions was uncovered…

Statistical Mechanics · Physics 2025-12-16 Gustavo A. L. Forão , Jonas Berx , Tan Van Vu , Carlos E. Fiore

We examine the entanglement induced by an angular momentum coupling between two harmonic systems. The Hamiltonian corresponds to that of a charged particle in a uniform magnetic field in an anisotropic quadratic potential, or equivalently,…

Quantum Physics · Physics 2015-06-03 L. Rebón , R. Rossignoli

We use the formalism of Geometrothermodynamics to describe chemical reactions in the context of equilibrium thermodynamics. Any chemical reaction in a closed system is shown to be described by a geodesic in a $2-$dimensional manifold that…

Mathematical Physics · Physics 2013-01-03 Hernando Quevedo , Diego Tapias
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