Weinhold length in an isentropic ideal and quasi-ideal gas

In this paper, we study thermodynamic length of an isentropic ideal and quasi-ideal gas using Weinhold metric in a two-dimensional state space. We give explicit relation between length at constant entropy and work.     

Structure and thermodynamics of protein-polymer solutions: effects of spatially distributed hydrophobic surface residues

Protein-polymer association in solution driven by a short-range attraction has been investigated using a simple coarse-grain model solved by Monte Carlo simulations. The effect of the spatial distribution of the hydrophobic surface residues of the protein on the adsorption of weakly hydrophobic polymers at variable polymer concentration, polymer length, and polymer stiffness has been considered. Structural data on the adsorbed polymer layer and thermodynamic properties, such as the free energy, energy, and entropy, related to the protein-polymer interaction were calculated. It was found that a more heterogeneous distribution of the surface residues promotes adsorption and that this also applies for different polymer concentrations, polymer chain lengths, and polymer flexibilities. Furthermore, the polymer adsorption onto proteins with more homogeneous surface distributions displayed larger sensitivity to polymer properties such as chain length and flexibility. Finally, a simple relation between the adsorption probability and the change in the free energy was found and rationalized by a simple two-state adsorption model.     

A thermodynamic interpretation of optimum conditions of the separation of mixture components by distillation of dilute solutions

A condition for the maximum thermodynamic efficiency of distillation of dilute solutions in a multistep cascade was obtained from the condition of a maximum change in the entropy of a mixture. These conditions were shown to correspond to a maximum degree of separation of mixture components. A thermodynamic equation was derived to describe the relation between a decrease in the Gibbs energy and the mixture value increment during distillation of a dilute ideal solution.     

Chemical lasers: A thermodynamic analysis of a system in disequilibrium

The application of energy and entropy cycles to the analysis of chemical lasers is discussed and illustrated by explicit results for six reactions. Measures of the actual and the limiting efficiency (and bounds on these efficiencies) are derived and computed. In particular, it is shown that the nascent rotational excitation of the reaction products is available (on thermodynamic grounds) for lasing. The entropy changes during the different stages of lasing are computed (invoking the state property of the entropy) as the difference between the initial and final values. Explicit algorithms for computing the different entropies are provided.     

Landscapes and fragilities

The concept of fragility provides a possibility to rank different supercooled liquids on the basis of the temperature dependence of dynamic and/or thermodynamic quantities. We recall here the definitions of kinetic and thermodynamic fragility proposed in the last years and discuss their interrelations. At the same time we analyze some recently introduced models for the statistical properties of the potential energy landscape. Building on the Adam-Gibbs relation, which connects structural relaxation times to configurational entropy, we analyze the relation between statistical properties of the landscape and fragility. We call attention to the fact that the knowledge of number, energy depth, and shape of the basins of the potential energy landscape may not be sufficient for predicting fragility. Finally, we discuss two different possibilities for generating strong behavior.     

Gaussian excitations model for glass-former dynamics and thermodynamics

We describe a model for the thermodynamics and dynamics of glass-forming liquids in terms of excitations from an ideal glass state to a Gaussian manifold of configurationally excited states. The quantitative fit of this three parameter model to the experimental data on excess entropy and heat capacity shows that "fragile" behavior, indicated by a sharply rising excess heat capacity as the glass transition is approached from above, occurs in anticipation of a first-order transition--usually hidden below the glass transition--to a "strong" liquid state of low excess entropy. The distinction between fragile and strong behavior of glass formers is traced back to an order of magnitude difference in the Gaussian width of their excitation energies. Simple relations connect the excess heat capacity to the Gaussian width parameter, and the liquid-liquid transition temperature, and strong, testable, predictions concerning the distinct properties of energy landscape for fragile liquids are made. The dynamic model relates relaxation to a hierarchical sequence of excitation events each involving the probability of accumulating sufficient kinetic energy on a separate excitable unit. Super-Arrhenius behavior of the relaxation rates, and the known correlation of kinetic with thermodynamic fragility, both follow from the way the rugged landscape induces fluctuations in the partitioning of energy between vibrational and configurational manifolds. A relation is derived in which the configurational heat capacity, rather than the configurational entropy of the Adam-Gibbs equation, controls the temperature dependence of the relaxation times, and this gives a comparable account of the experimental observations without postulating a divergent length scale. The familiar coincidence of zero mobility and Kauzmann temperatures is obtained as an approximate extrapolation of the theoretical equations. The comparison of the fits to excess thermodynamic properties of laboratory glass formers, and to configurational thermodynamics from simulations, reveals that the major portion of the excitation entropy responsible for fragile behavior resides in the low-frequency vibrational density of states. The thermodynamic transition predicted for fragile liquids emerges from beneath the glass transition in case of laboratory water and the unusual heat capacity behavior observed for this much studied liquid can be closely reproduced by the model.     

咪唑啉型表面活性剂组成微乳液的热力学性质

由咪唑啉型表面活性剂、醇、水和正十六烷组成微乳液，探讨了该微乳液中醇从油相转移到界面相时的自由能变化及温度对自由能变化的影响，算得了熵变和焓变。     

Prenematic behavior of the electric-field-induced increment of the basic thermodynamic quantities of isotropic mesogenic liquids of different polarity

Temperature dependences of the static dielectric permittivity and its derivative, obtained for isotropic mesogenic liquids composed of the molecules of different polarity in relation to the basic thermodynamic quantities (internal energy, entropy, and Helmholtz free energy), are analyzed. A role of the molecular polarity in the dielectric behavior of the liquids in the vicinity of the isotropic to nematic phase transition is discussed.     

Energy–entropy method using multiscale cell correlation to calculate binding free energies in the SAMPL8 host–guest challenge

Free energy drives a wide range of molecular processes such as solvation, binding, chemical reactions and conformational change. Given the central importance of binding, a wide range of methods exist to calculate it, whether based on scoring functions, machine-learning, classical or electronic structure methods, alchemy, or explicit evaluation of energy and entropy. Here we present a new energy–entropy (EE) method to calculate the host–guest binding free energy directly from molecular dynamics (MD) simulation. Entropy is evaluated using Multiscale Cell Correlation (MCC) which uses force and torque covariance and contacts at two different length scales. The method is tested on a series of seven host–guest complexes in the SAMPL8 (Statistical Assessment of the Modeling of Proteins and Ligands) “Drugs of Abuse” Blind Challenge. The EE-MCC binding free energies are found to agree with experiment with an average error of 0.9 kcal mol^?1. MCC makes clear the origin of the entropy changes, showing that the large loss of positional, orientational, and to a lesser extent conformational entropy of each binding guest is compensated for by a gain in orientational entropy of water released to bulk, combined with smaller decreases in vibrational entropy of the host, guest and contacting water.

     

四针状纳米氧化锌的热力学函数

采用简单、温和的微乳液水热辅助法合成了尺寸、形貌均匀的四针状ZnO纳米结构,每个结构由四根长约250nm的纳米针组成．基于块体ZnO的热力学函数已知,依据热力学势函数法设计热化学循环,将纳米ZnO与块体ZnO的热力学函数进行了关联．并结合热动力学理论及过渡态理论,利用微量热技术获得了所制备的四针状纳米ZnO在298．15K下的标准摩尔生成焓、标准摩尔生成Gibbs自由能、标准摩尔熵值分别为（-329．37±0．43）kJmol-1,（-318．51±0．03）kJmol-1,（20．36±1．05）Jmol-1 K-1．     

Time evolution of the pulsed HF chemical laser system. II. Irreversible thermodynamic analysis

The time rates of change of level populations and radiation densities derived from a detailed kinetic model of the F + H₂ → HF + H laser are employed as input data for a time dependent thermodynamic analysis of this system. The laser is regarded as an irreversible heat engine generating thermodynamic work in the form of laser light. The development in time of the thermodynamic functions, efficiency and irreversible entropy production is determined by computing the contributions of pumping, radiation and relaxation to the entropy and energy of the lasing molecules. Effects of specific rate processes are evaluated by considering different kinetic schemes, i.e. different combinations of kinetic processes and initial conditions. It is shown, among others, that a laser without relaxation processes (“frictionless”) has poor efficiency despite the absence of energy losses and the low irreversible entropy production. On the other hand, the efficiency is high in lasers governed by fast rotational relaxation. This is because rotational relaxation, though leading to some energy losses and irreversible entropy production, compensates for the entropy decrease of the system (while lasing under partially inverted populations) by increasing the bath entropy. The major general conclusion of the analysis is that the thermodynamic constraints related to the kinetic scheme and not the extent of irreversibility of the lasing process is the crucial factor in determining the laser efficiency.     

镧与Sn-Pb合金体系中组元的相互作用关系

采用二元系Ｍｉｅｄｅｍａ生成热模型及其Ｔａｎａｋａ过乘熵修正和三元系Ｃｈｏｕ几何模型分析了稀土元素Ｌａ与Ｓｎ－Ｐｂ软钎料合金体系中组元元素的相互作用关系,热力学计算表明,在Ｓｎ－Ｐｂ合金体系中,Ｌａ具有“亲Ｓｎ”倾向。这是添加稀土元素Ｓｎ－Ｐｂ软钎料合金金属学性能的一个基本前提 。     

Finite-temperature full configuration interaction

The exact basis-set values of various thermodynamic potentials of a molecule are evaluated by the finite-temperature full configuration-interaction (FCI) method using ab initio molecular integrals over Gaussian-type orbitals. The thermodynamic potentials considered are the grand partition function, grand potential, internal energy, entropy, and chemical potential in the grand canonical ensemble as well as the partition function, Helmholtz energy, internal energy, and entropy in canonical ensemble. Approximations to FCI that are accurate at low and high temperatures are proposed, implemented, and tested. The results of finite-temperature FCI and its approximations are compared with one another as well as with the results of finite-temperature zeroth-order many-body perturbation theory, in which the Fermi–Dirac statistics is exact. Analytical asymptotic properties in the low- or high-temperature limits of some of these thermodynamic potentials are also given.     

Residual ligand entropy in the binding of p-substituted benzenesulfonamide ligands to bovine carbonic anhydrase II

In studies on the thermodynamics of ligand-protein interactions, it is often assumed that the configurational and conformational entropy of the ligand is zero in the bound state (i.e., the ligand is rigidly fixed in the binding pocket). However, there is little direct experimental evidence for this assumption, and in the case of binding of p-substituted benzenesulfonamide inhibitors to bovine carbonic anhydrase II (BCA II), the observed thermodynamic binding signature derived from isothermal titration calorimetry experiments leads indirectly to the conclusion that a considerable degree of residual entropy remains in the bound ligand. Specifically, the entropy of binding increases with glycine chain length n, and strong evidence exists that this thermodynamic signature is not driven by solvent reorganization. By use of heteronuclear (15)N NMR relaxation measurements in a series (n = 1-6) of (15)N-glycine-enriched ligands, we find that the observed thermodynamic binding signature cannot be explained by residual ligand dynamics in the bound state, but rather results from the indirect influence of ligand chain length on protein dynamics.     

Quantum measurements and thermodynamics

Thermodynamics was developed when it was still unclear whether the microworld had an atomic substructure. The objective here is to investigate the relationship between the process of a quantum measurement and the second law of thermodynamics. It is necessary to make the ideas of heat and work explicit in this approach. It is possible to study the correspondence between information entropy and thermodynamic entropy. Finally, a model is proposed in such a way as to resemble an experimental example for the discussion.     

Measurement of nonequilibrium entropy from space-time thermodynamic integration

The entropy of a system transiently driven out of equilibrium by a time-inhomogeneous stochastic dynamics is first expressed as a transient response function generalizing the nonlinear Kawasaki-Crooks response. This function is then reformulated into three statistical averages defined over ensembles of nonequilibrium trajectories. The first average corresponds to a space-time thermodynamic perturbation relation, while the two following ones correspond to space-time thermodynamic integration relations. Provided that trajectories are initiated starting from a distribution of states that is analytically known, the ensemble averages are computationally amenable to Markov chain Monte Carlo methods. The relevance of importance sampling in path ensembles is confirmed in practice by computing the nonequilibrium entropy of a driven toy system. We finally study a situation where the dynamics produces entropy. In this case, we observe that space-time thermodynamic integration still yields converged estimates, while space-time thermodynamic perturbation turns out to converge very slowly.