PubMed Health⌕ Search

Biomedical subjects

Michael Kastner

Publications and source records attributed to Michael Kastner.

5 recordsLinked to original sources

Nonanalyticities of entropy functions of finite and infinite systems.

In contrast to the canonical ensemble where thermodynamic functions are smooth for all finite system sizes, the microcanonical entropy can show nonanalytic points also for finite systems. The relation between finite and infinite system nonanalyticities is illustrated by means of a simple classical spinlike model which is exactly solvable for both finite and infinite system sizes, showing a phase transition in the latter case. The microcanonical entropy is found to have exactly one nonanalytic point in the interior of its domain. For all finite system sizes, this point is located at the same fixed energy value epsilon(c)(finite), jumping discontinuously to a different value epsilon(c)(infinite) in the thermodynamic limit. Remarkably, epsilon(c)(finite) equals the average potential energy of the infinite system at the phase transition point. The result indicates that care is required when trying to infer infinite system properties from finite system nonanalyticities.

Journal Article↗

The mean-field model Phi4: entropy, analyticity, and configuration space topology.

A large deviation technique is applied to the mean-field model Phi4, providing an exact expression for the configurational entropy s(v,m) as a function of the potential energy v and the magnetization m. Although a continuous phase transition occurs at some critical energy vc, the entropy is found to be a real analytic function in both arguments, and it is only the maximization over m which gives rise to a nonanalyticity in s(v)=supm s(v,m). This mechanism of nonanalyticity-generation by maximization over one variable of a real analytic entropy function is restricted to systems with long-range interactions and has--for continuous phase transitions--the generic occurrence of classical critical exponents as an immediate consequence. Furthermore, this mechanism can provide an explanation why, contradictory to the so-called topological hypothesis, the phase transition in the mean-field model need not be accompanied by a topology change in the family of constant-energy submanifolds.

Journal Article↗

Unattainability of a purely topological criterion for the existence of a phase transition for nonconfining potentials.

The relation between thermodynamic phase transitions in classical systems and topology changes in their configuration space is discussed for a one-dimensional, analytically tractable solid-on-solid model. The topology of a certain family of submanifolds of configuration space is investigated, corroborating the hypothesis that, in general, a change of the topology within this family is a necessary condition in order to observe a phase transition. Considering two slightly differing versions of this solid-on-solid model, one showing a phase transition in the thermodynamic limit and the other not, we find that the difference in the quality or strength of this topology change appears to be insignificant. This example indicates the unattainability of a condition of exclusively topological nature which is sufficient to guarantee the occurrence of a phase transition in systems with nonconfining potentials.

Journal Article↗

Energy thresholds for discrete breathers.

Discrete breathers are time-periodic, spatially localized solutions of the equations of motion for a system of classical degrees of freedom interacting on a lattice. An important issue, not only from a theoretical point of view but also for their experimental detection, is their energy properties. We considerably enlarge the scenario of possible energy properties presented by Flach, Kladko, and MacKay [Phys. Rev. Lett. 78, 1207 (1997)]]. Breather energies have a positive lower bound if the lattice dimension is greater than or equal to a certain critical value dc. We show that dc can generically be greater than 2 for a large class of Hamiltonian systems. Furthermore, examples are provided for systems where discrete breathers exist but do not emerge from the bifurcation of a band edge plane wave. Some of these systems support breathers of arbitrarily low energy in any spatial dimension.

Journal Article↗

Concentrations of the des-F(6)-quinolone garenoxacin in plasma and joint cartilage of immature rats.

Garenoxacin is a des-F(6)-quinolone with a broad antibacterial spectrum, which has previously been shown to exhibit low chondrotoxicity in juvenile dogs compared with several other quinolones. A study was performed to determine whether the low chondrotoxicity observed in immature rats following garenoxacin treatment could be explained by poor penetration into cartilage tissue. Garenoxacin was orally administered to immature (4- to 5-week-old) Wistar rats as a single dose-or as doses given on 5 consecutive days-of 0 (vehicle), 200, 400, and 600 mg/kg ( n=5 per dose level). Additional groups of rats were orally dosed with 600 mg/kg ofloxacin and ciprofloxacin. One knee joint of each animal (24 h after the last dose) was studied histologically after staining with Toluidine blue. The pharmacokinetics of garenoxacin in plasma (200, 400, and 600 mg/kg) and in knee joint cartilage (200 and 600 mg/kg) was assessed in separate groups of rats ( n=55 per dose level). Concentrations of garenoxacin in plasma and cartilage were measured using an HPLC method. No signs of chondrotoxicity were observed in the immature rats treated with garenoxacin or ciprofloxacin for 5 days at the doses investigated in this study. However, ofloxacin was found to induce cartilage lesions that were typical of those seen for this quinolone. Systemic exposure to garenoxacin increased as a function of dose. Across dose and study day, mean garenoxacin plasma maximum concentration ( C(max)) and area under the concentration-time curve (AUC(tau)) values were in the range 12-26 mg/l and 33-133 mgxh/l, respectively. Garenoxacin C(max) and AUC were similar on days 1 and 5, within each dose, indicating the absence of accumulation or reduction in the systemic exposure. Values determined for T(max) (0.25-1.0 h) and T(1/2) (3.8-6.4 h) of garenoxacin in plasma did not vary with dose or study day. Although peak garenoxacin concentrations in cartilage were between equal levels to and 2.5-fold of those found in plasma, the observed ratios were somewhat lower than those reported for other quinolones, e.g. ofloxacin or sparfloxacin. Since garenoxacin appeared to be well absorbed following oral administration and concentrations in cartilage tended to be higher than those in plasma, it is unlikely that the low chondrotoxicity in comparison with other quinolones is explained by differences in the pharmacokinetics of these compounds.

Administration, Oral↗