Emergence of opposing arrows of time in open quantum systems by Thomas Guff, Chintalpati Umashankar Shastry, Andrea Rocco

“…Abstract Deriving an arrow of time from time-reversal symmetric microscopic dynamics is a fundamental open problem in many areas of physics, ranging from cosmology, to particle physics, to thermodynamics and statistical mechanics. Here we focus on the derivation of the arrow of time in open quantum systems and study precisely how time-reversal symmetry is broken. …”
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Classical and quantum spin liquids by Capponi, Sylvain

“…This phenomenon of phase transition has been well understood using statistical mechanics and simple modelling.In this short lecture notes, we will review the possibility that a many-body magnetic system may remain magnetically disordered down to zero-temperature, both for classical or quantum spins. …”
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Exploring the thermodynamic description of a simulation of flocking birds by Alexander V. Mantzaris, George-Rafael Domenikos

“…The simulation of birds is produced using standard agent-based modeling and the thermodynamic variables for the states of the trajectory using statistical mechanics. The energy of the birds is defined, and from the distribution function, the entropy, internal energy, temperature, heat flux, and pressure are defined. …”
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Extracting rates and activation free energies of martensitic transitions using nanomechanical force statistics: theory, models, and analysis by Arijit Maitra, M. P. Gururajan

“…We demonstrate that a framework of nonequilibrium statistical mechanics offers a principled explanation of the relationship between strain rate and the critical force distribution as well as its mean. …”
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Perturbative Stability and Error-Correction Thresholds of Quantum Codes by Yaodong Li, Nicholas O’Dea, Vedika Khemani

“…We connect the two notions of stability by constructing classical statistical mechanics models for decoding general Calderbank-Shor-Steane codes and classical linear codes. …”
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Thermodynamics of the Classical Planar Ferromagnet Close to the Zero-Temperature Critical Point: A Many-Body Approach by L. S. Campana, A. Cavallo, L. De Cesare, U. Esposito, A. Naddeo

“…We explore the low-temperature thermodynamic properties and crossovers of a d-dimensional classical planar Heisenberg ferromagnet in a longitudinal magnetic field close to its field-induced zero-temperature critical point by employing the two-time Green’s function formalism in classical statistical mechanics. By means of a classical Callen-like method for the magnetization and the Tyablikov-like decoupling procedure, we obtain, for any d, a low-temperature critical scenario which is quite similar to the one found for the quantum counterpart. …”
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Modeling and analysis of ensemble average solvation energy and solute–solvent interfacial fluctuations by Shao Yuanzhen, Chen Zhan, Zhao Shan

“…Drawing upon principles of statistical mechanics and geometric measure theory, we rigorously demonstrate that the proposed models effectively capture EASE during the solvation process. …”
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Teaching ideal quantum measurement, from dynamics to interpretation by Allahverdyan, Armen E., Balian, Roger, Nieuwenhuizen, Theo M.

“…We present a graduate course on ideal measurements, analyzed as dynamical processes of interaction between the tested system S and an apparatus A, described by quantum statistical mechanics. The apparatus A = M + B involves a macroscopic measuring device M and a bath B. …”
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Statistical properties and material partial factors of ECC material based on shear failure member by Shixiang Yi, Zhongping Tang, Wei Shi, Fan Feng, Xiang Liu

“…This paper conducted experiments for the statistical mechanics of ECC strength. The shear failure test data of 36 R-ECC members were collected, and four representative bearing capacity calculation models were also collected and assessed. …”
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Extensive composable entropy for the analysis of cosmological data by Constantino Tsallis, Henrik Jeldtoft Jensen

“…Still, its intriguing area dependence points out the relevance of considering the form W(N)∼μNγ(μ>1;γ>0), W and N respectively being the total number of microscopic possibilities and the number of components; γ=1 corresponds to standard Boltzmann-Gibbs (BG) statistical mechanics. For this W(N) asymptotic behavior, we make use of the group-theoretic entropic functional Sα,γ=k[ln⁡Σi=1Wpiα1−α]1γ(α∈R;S1,1=SBG≡−k∑i=1Wpiln⁡pi), first derived by P. …”
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Deterministic Annealing Approach to Fuzzy C-Means Clustering Based on Entropy Maximization by Makoto Yasuda

“…By maximizing the Shannon entropy, the fuzzy entropy, or the Tsallis entropy within the framework of the fuzzy c-means (FCM) method, membership functions similar to the statistical mechanical distribution functions are obtained. …”
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An Area Rescaling Ansatz and Black Hole Entropy from Loop Quantum Gravity by Abhishek Majhi

“…Considering the possibility of ‘renormalization’ of the gravitational constant on the horizon, leading to a dependence on the level of the associated Chern-Simons theory, a rescaled area spectrum is proposed for the nonrotating black hole horizon in loop quantum gravity. The statistical mechanical calculation leading to the entropy provides a unique choice of the rescaling function for which the Bekenstein-Hawking area law is yielded without the need to choose the Barbero-Immirzi parameter (γ). γ is determined, rather than being chosen, by studying the limit in which the ‘renormalized’ gravitational constant on the horizon asymptotically approaches the ‘bare’ value. …”
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Topological Excitations in Quantum Spin Systems by Ranjan Chaudhury, Samir K. Paul

“…Through a novel approach of ours, a bridge is established between field theoretical formalism and the well-known statistical mechanical treatment of Berezinskii-Kosterlitz-Thouless (BKT) transition involving these topological excitations. …”
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Sign Problem in Tensor-Network Contraction by Jielun Chen, Jiaqing Jiang, Dominik Hangleiter, Norbert Schuch

“…To provide insight into this early breakdown of computational hardness and the accompanying entanglement transition, we construct an effective classical statistical-mechanical model that predicts a transition at a bias of the tensor entries of 1/D, confirming our observations. …”
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