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The prediction of the biologically active native conformation of a protein is one of the fundamental challenges of structural biology. This problem remains yet unsolved mainly due to three factors: the partial knowledge of the effective…

Biomolecules · Quantitative Biology 2007-05-23 Jose Luis Alonso , Gregory A. Chass , Imre G. Csizmadia , Pablo Echenique , Alfonso Tarancon

For a general dark-energy equation of state, we estimate the maximum possible radius of massive structures that are not destabilized by the acceleration of the cosmological expansion. A comparison with known stable structures constrains the…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-16 V. Pavlidou , N. Tetradis , T. N. Tomaras

Free energies of molecules can be calculated by quantum computations or by normal mode classical calculations. However, the first can be computationally impractical for large molecules and the second is based on the assumption of harmonic…

Chemical Physics · Physics 2016-03-23 Asaf Farhi

Energy infrastructure planning under uncertainty has become increasingly complex as electrification, interdependence between energy carriers, decarbonization, and extreme weather events reshape long-term investment decisions. This paper…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Rahman Khorramfar , Aron Brenner , Lara Booth , Ana Rivera , Ruaridh Macdonald , Priya Donti , Saurabh Amin

The nucleation process under different external conditions is considered. It is shown that the duration of this process can be connected with the microscopic corrections to the free energy of the critical embryo. Connection between…

Statistical Mechanics · Physics 2008-08-25 Victor Kurasov

We analyse the finite-size corrections to the free energy of crystals with a fixed center of mass. When we explicitly correct for the leading ($\ln N/N$) corrections, the remaining free energy is found to depend linearly on 1/N.…

Statistical Mechanics · Physics 2009-10-31 J. M. Polson , E. Trizac , S. Pronk , D. Frenkel

Machine learning is employed to build an energy density functional for self-bound nuclear systems for the first time. By learning the kinetic energy as a functional of the nucleon density alone, a robust and accurate orbital-free density…

Nuclear Theory · Physics 2022-03-21 X. H. Wu , Z. X. Ren , P. W. Zhao

An increasing number of studies using energy system optimisation models are conducted with higher spatial and temporal resolution. This comes with a computational cost which places a limit on the size, complexity, and detail of the model.…

Computational Finance · Quantitative Finance 2023-10-17 Nandi Moksnes , William Usher

We consider the question of whether thermodynamic macrostates are objective consequences of dynamics, or subjective reflections of our ignorance of a physical system. We argue that they are both; more specifically, that the set of…

Statistical Mechanics · Physics 2025-01-07 Cosma Rohilla Shalizi , Cristopher Moore

Biology achieves novel functions like error correction, ultra-sensitivity and accurate concentration measurement at the expense of free energy through Maxwell Demon-like mechanisms. The design principles and free energy trade-offs have been…

Molecular Networks · Quantitative Biology 2016-05-27 Arvind Murugan , Suriyanarayanan Vaikuntanathan

An energy functional for orbital based $O(N)$ calculations is proposed, which depends on a number of non orthogonal, localized orbitals larger than the number of occupied states in the system, and on a parameter, the electronic chemical…

mtrl-th · Physics 2016-09-07 Jeongnim Kim , Francesco Mauri , Giulia Galli

Dynamical system analysis of a universe model which contains matter, radiation, and quintessence with exponential potential, $V \!(\phi)=V_{\!o} \, exp(-\alpha \kappa \phi) \,$, is studied in the light of recent observations and the…

General Relativity and Quantum Cosmology · Physics 2020-02-18 A. Savaş Arapoğlu , A. Emrah Yükselci

We consider two types of convolutions ($\ast$ and $\star$) of functions on spaces of finite configurations (finite subsets of a phase space), and some their properties are studied. A connection of the $\ast$-convolution with the convolution…

Probability · Mathematics 2015-01-27 Dmitri Finkelshtein

Observational evidence indicating that the expansion of the universe is accelerating has surprised cosmologists in recent years. Cosmological models have sought to explain this acceleration by incorporating `dark energy', of which the…

Astrophysics · Physics 2010-03-26 Luke Barnes , Matthew J. Francis , Geraint F. Lewis , Eric V. Linder

For the study of complex synthetic and biological molecular systems by computer simulations one is still restricted to simple model systems or to by far too small time scales. To overcome this problem multiscale techniques are being…

Statistical Mechanics · Physics 2007-05-23 Matej Praprotnik , Kurt Kremer , Luigi Delle Site

Physics and economics are two disciplines that share the common challenge of linking microscopic and macroscopic behaviors. However, while physics is based on collective dynamics, economics is based on individual choices. This conceptual…

Physics and Society · Physics 2011-08-25 Sebastian Grauwin , Dominic Hunt , Eric Bertin , Pablo Jensen

Building on nonintrinsic Landau theory, we introduce continuum free-energy computing as a new computing paradigm in which problem instances are encoded in programmable free-energy functionals and solved by intrinsic relaxational dynamics.…

Statistical Mechanics · Physics 2026-03-31 Trey Li

A stochastic mode reduction strategy is applied to multiscale models with a deterministic energy-conserving fast sub-system. Specifically, we consider situations where the slow variables are driven stochastically and interact with the fast…

Probability · Mathematics 2014-10-14 Ankita Jain , Ilya Timofeyev , Eric Vanden-Eijnden

Reversibility is a key issue in the interface between computation and physics, and of growing importance as miniaturization progresses towards its physical limits. Most foundational work on reversible computing to date has focussed on…

Logic in Computer Science · Computer Science 2011-12-01 Samson Abramsky