Vladimir Tchijov

Universidad Nacional Autónoma de México, Ciudad de México, The Federal District, Mexico

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Publications (23)20.58 Total impact

  • [Show abstract] [Hide abstract]
    ABSTRACT: A new equation of state of ice Ih recently proposed by Feistel and Wagner [J. Phys. Chem. Ref. Data 35 (2006) 1021–1047] is used to study the phenomena related to the equilibrium isentropic compression of an ice–water mixture and dynamic loading of solid ice. New results are presented concerning the properties of the new equation of state, equilibrium solid–liquid phase transitions and Hugoniots of low-temperature (100K) and temperate (263K) shock-compressed ice.
    Journal of Physics and Chemistry of Solids 07/2008; 69(7):1704-1710. · 1.53 Impact Factor
  • Oleg V. Nagornov, Yuri V. Konovalov, Vladimir Tchijov
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    ABSTRACT: Numerous data indicate discernible warming of the Northern Hemisphere in the 20th century especially at high latitudes. Summer melting at the surface of Arctic glaciers is likely to increase this warming. To verify this phenomenon, we reconstruct the past temperatures of the Arctic ice caps at their surface and at the 10 m depth. The reconstructions are made for two Arctic ice caps (Austfonna and Akademii Nauk) by means of the inversion of the measured temperature-depth profiles. In addition, we use the measured oxygen–isotope ratio and the melt feature index as input data. We find that the present ice temperature is the highest over the last 1000 years, while the lowest temperature occurred in the 1700s. The surface temperature variations of Akademii Nauk (Severnaya Zemlya) and Austfonna (Svalbard) Ice Caps exceed the average Arctic temperature anomalies over the last 150 years by 6 to 7 °C.
    Palaeogeography Palaeoclimatology Palaeoecology - PALAEOGEOGR PALAEOCLIMATOL. 01/2006; 236(1):125-134.
  • Vladimir Tchijov, Rainer Feistel
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    ABSTRACT: New P-V-T EOS of ices III and V have been derived [1], as well as new isothermal EOS of ices VII and VIII. MD simulations have been carried out to calculate the densities of ices III, V and VIII as functions of pressure and temperature; the TIP4P and TIP5P models have been adopted. A scheme [2] for calculating the heat capacity of ices II, III, V, VI, and VII has been applied. Recently developed new Gibbs thermodynamic potential function of ice Ih [3] has been used to calculate the 100 K Hugoniot of ice for pressures up to 0.5 GPa; the results are in good agreement with experimental data of Stewart [4]. The validity of the existing EOS of liquid water in the metastable region at high pressures has also been investigated. The IAPWS-95 Formulation was found to be the only EOS of liquid water valid in the low-temperature metastable region both at low and at very high pressures. [1] V. Tchijov, R. Baltazar Ayala, G. Cruz Leon, O. Nagornov, J. Phys. Chem. Solids 65, 1277 (2004). [2] V. Tchijov, J. Phys. Chem. Solids 65, 851 (2004). [3] R. Feistel, W. Wagner, J. Mar. Res. (2005, in press). [4] S. T. Stewart, PhD Thesis, California Institute of Technology (2002).
    03/2005;
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    ABSTRACT: A theoretical analysis of the growth probability measure as well as multifractal dimensions and maximum (minimum) growth probability in the so-called bicolored diffusion limited aggregation (BDLA) model is presented. This model deals with the competing growth of two colored immobile fractal clusters.
    Physica A: Statistical Mechanics and its Applications 03/2005; · 1.68 Impact Factor
  • Source
    Feistel1 R, Wagner W, Tchijov V, Guder C
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    ABSTRACT: The 2004 Gibbs thermodynamic potential function of naturally abundant water ice is based on much more experimental data than its predecessors, is therefore significantly more accurate and reliable, and for the first time describes the entire temperature and pressure range of existence of this ice phase. It is expressed in the ITS-90 temperature scale and is consistent with the current scientific pure water standard, IAPWS-95, and the 2003 Gibbs potential of seawater. The combination of these formulations provides sublimation pressures, freezing points, and sea ice properties covering the parameter ranges of oceanographic interest. This paper provides source code examples in Visual Basic, Fortran and C++ for the computation of the Gibbs function of ice and its partial derivatives. It reports the most important related thermodynamic equations for ice and sea ice properties.
    Ocean Science Discussions 01/2005; · 0.94 Impact Factor
  • Oleg V. Nagornov, Yuri V. Konovalov, Vladimir Tchijov
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    ABSTRACT: Many glaciers are subject to melting due to high summer air temperatures. Here, the presence of meltwater in the subsurface layers of the glacier bulk, and its subsequent percolation and refreezing are implemented in the calibration of a paleothermometer. Accounting for the melt feature index and the measured oxygen-isotope ratio allows for calibration of the paleothermometer and comparison of different climatic proxies. The results of reconstructions agree with previous reconstructions at the depth of attenuation of the seasonal climate signals, which supports the validity of the paleothermometer calibration. The sensitivity of the reconstruction to variations of the model parameters was also studied. It was found that most likely snow-firn sequence and temperature fields were subjected to significant change due to current warming. Temperature changes in the snow-firn thickness of Akademii Nauk (Severnaya Zemlya, Russian High Arctic) and Austfonna (Svalbard) ice caps exceed by ∼6°C the average Arctic temperature anomalies for the last 150 years. The reconstruction of the past surface temperatures and the parameters of the subsurface heat source due to refreezing of meltwater lead to the conclusion that meltwater spreads inside two to four annual layers for Akademii Nauk and Austfonna ice caps, respectively.
    Annals of Glaciology 12/2004; 40(1):61-66. · 1.87 Impact Factor
  • Journal of Physics and Chemistry of Solids 07/2004; · 1.53 Impact Factor
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    ABSTRACT: New P-V-T EOS of high-pressure ices II, III, V, VI, and VII are derived by applying a method generalizing the one proposed by Fei et al. For ices III and V, molecular dynamics simulations are carried out to calculate their densities as functions of temperature using TIP4P and TIP5P water models [1]. A novel scheme for calculating the heat capacity of ices II, III, V, VI, and VII is proposed [2]. Equilibrium phase transitions between H_2O phases are studied using the derived EOS and the calculated thermodynamic quantities of high-pressure ices. The lines of phase changes on the P-T diagram and the phase boundaries on the P-V diagram are computed; the results are in very good agreement with experimental data. The application to multiple non-equilibrium phase transitions in ice subjected to shock-wave compression [3] will be discussed, as well as the validity of the existing EOS of liquid water in the metastable region at high pressures. [1] R. Baltazar Ayala, V. Tchijov, Can. J. Phys. 81, 11 (2003). [2] V. Tchijov, J. Phys. Chem. Solids (2004, in press). [3] G. Cruz León et al., Entropie No. 239/240, 66 (2002).
    03/2004;
  • Vladimir Tchijov
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    ABSTRACT: The isobaric heat capacity CP of high-pressure water ice polymorphs (ices III, V, VI, and VII) is calculated using P–V–T equations of state of ices, jump condition for CP on the lines of phase transition, and the equations of the lines of phase transition on the P–T diagram of water substance.
    Journal of Physics and Chemistry of Solids 01/2004; 65(5):851-854. · 1.53 Impact Factor
  • Entropie. 01/2002; 38((239-240)):66-71.
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    ABSTRACT: Thermodynamic properties of high-pressure solid phase ice II are studied theoretically. The P–V–T equation of state of ice II is derived and its thermodynamic functions are calculated based on the available experimental data. New results are presented concerning the equilibrium solid–solid phase transitions between ice II and ice Ih, ice II and III, and ice II and V.
    Journal of Physics and Chemistry of Solids 01/2002; 63(5):843-851. · 1.53 Impact Factor
  • Vladimir Tchijov
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    ABSTRACT: We analyze the existing equations-of-state of liquid water from the point of view of their applicability to equilibrium and nonequilibrium water-ice phase change problems that involve supercooled water. We show that the equation-of-state of Saul and Wagner [J. Phys. Chem. Ref. Data 18, 1537 (1989)] is most suitable for the description of thermodynamic properties of supercooled water in the range of pressures 0-200 kbar, and find the area of its validity in the metastable region.
    The Journal of Chemical Physics 01/2002; 116:8632-8633. · 3.12 Impact Factor
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    ABSTRACT: Experiments indicate that water ice subjected to shock-wave loading undergoes multiple non-equilibrium phase transitions (Larson D.B., J. Glaciology, 30:235, 1984.) Kinetic model of multiple phase changes in ice (Tchijov V. et al., J. Phys. Chem., 101:6215, 1997) is based on the complete set of P-V-T equations of state of ices Ih, III, V, VI, VII and liquid water in the ranges of pressure 0..40 kbar and temperature 230..500 K. Detailed study of thermodynamic properties of ice phases including the derivation of the equations of state and investigation of the isoentropes of binary liquid-solid and solid-solid mixtures is presented. The shapes of the isoentropes suggest the unusually complicated nature of phase changes in ice. In the kinetic model, a set of parameters is introduced that permits to describe the loading and unloading paths and hysteresis on the P-V diagram of non-equilibrium mixture of ice phases. The proposed kinetic model is applied to study the propagation of one-dimensional compression wave in an ice sample. The results of computer simulations are in good agreement with the existing experimental data.
    06/2001;
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    ABSTRACT: Experimental studies of shock-wave loading of ice (D.B. Larson, J. Glaciol., 1984, Vol.30, p.235) indicate multiple solid-solid and solid-liquid phase transitions. In order to model these phase changes, we develop a complete set of the P-V-T equations of state of ices Ih, II, III, V, VI, and VII. We study the isoentropes of ice-water mixture along the lines of solid-liquid phase transitions on the P-T diagram, with special attention to high-pressure ice VII - water transition where various P-V-T equations of liquid water are used and compared. A kinetic model of multiple phase transitions in ice in the pressure range 0-2000 MPa has been reported elsewhere (V. Tchijov et al., J. Phys. Chem. B, 1997, Vol.101, p.6215). We use this model, extended to include ice VII, to investigate the loading and unloading paths and the hysteresis on the P-V diagram of ice in the pressure range 0-3600 MPa. We compare the results of our computer simulations against available experimental data.
    03/2000;
  • Vladimir Tchijov, Suemi Rodríguez-Romo
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    ABSTRACT: Random walks with nearest neighbors prohibited, of lengths N up to 1024 steps, are studied on the three-dimensional diamond lattice. This is a model to describe steric effects given by geometrical constraints on the conformation of macromolecules. Short walks (N
    The Journal of Chemical Physics 01/1999; 111:3311-3312. · 3.12 Impact Factor
  • Suemi Rodríguez-Romo, Vladimir Tchijov
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    ABSTRACT: We study the distribution of the end-to-end distance of continuous-time self-avoiding random walks (CTRW) in dimension four from two viewpoints. From a real-space renormalization-group map on probabilities, we conjecture the asymptotic behavior of the end-to-end distance of a weakly self-avoiding random walk (SARW) that penalizes two-body interactions of random walks in dimension four on a hierarchical lattice. Then we perform the Monte Carlo computer simulations of CTRW on the four-dimensional integer lattice, paying special attention to the difference in statistical behavior of the CTRW compared with the discrete-time random walks. In this framework, we verify the result already predicted by the renormalization-group method and provide new results related to enumeration of self-avoiding random walks and calculation of the mean square end-to-end distance and gyration radius of continous-time self-avoiding random walks.
    Journal of Statistical Physics 01/1998; 90(3):767-781. · 1.40 Impact Factor
  • Suemi Rodriguez-Romo, Vladimir Tchijov
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    ABSTRACT: Let X(n) be an ergodic Markov chain whose values belong to d-dimensional Euclidean space ℝ d . Denote X ¯(n)=max 0≤k≤n |X(k)|. Conditions are obtained under which all limit points of the random sequence {X ¯(n)/logn} n=2 ∞ lie in the interval [1/μ,2/μ] with probability 1, where μ>0.
    Stochastic Models 01/1998; 14:305-315. · 0.47 Impact Factor
  • Vladimir Tchijov, Jaime Keller, Suemi Rodríguez-Romo
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    ABSTRACT: Experimental investigation of shock-wave loading of ice (Larson, D. B. J. Glaciol. 1984, 30, 235) indicates a series of phase transitions in ice and gives evidence of the important role the kinetics plays in the process of dynamic phase transformations in ice. In order to model multiple phase changes in ice subjected to impulsive loading, thermodynamic equations of state of ices Ih, III, V, and VI and liquid water are used in the pressure range 0−2100 MPa and the temperature range 230−350 K. A kinetic model is presented that makes it possible to describe quantitatively a complex picture of the phase transitions in ice. The results of computer simulations of shock-wave loading of ice are consistent with the available experimental data.
    Journal of Physical Chemistry B - J PHYS CHEM B. 08/1997; 101(32).
  • Suemi Rodriguez-Romo, Vladimir Tchijov, Jaime Keller
    Revista Mexicana de Fisica 01/1997; 43(3):348-360. · 0.35 Impact Factor
  • Revista de la Sociedad Química de México. 01/1997;